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河南省郑州市第四十七中学2020届高三12月月考数学(理)试题Word版含答案

河南省郑州市第四十七中学2020届高三12月月考数学(理)试题Word版含答案

河南省郑州市第四十七中学2020届高三12月月考数学（理）试题一、选择题(本大题共12小题，共60分)1.已知集合P={0，1}，M={x|x⊆P}，则集合M的子集个数为（）A.16B.32C.8D.642.下列命题中，真命题是（）A.∀x∈R，2x＞x2B.∃x∈R，e x＜0C.若a＞b，c＞d，则a-c＞b-dD.ac2＜bc2是a＜b的充分不必要条件3.已知命题p：∃x0＞0，2x0≥3，则￢p是（）A. B. C. D.4.给出下列四个命题：①的对称轴为；②函数的最大值为2；③函数f（x）=sinx•cosx-1的周期为2π；④函数上的值域为．其中正确命题的个数是（）A.1个B.2个C.3个D.4个5.以下四个命题中，正确的个数是（）①命题“若f（x）是周期函数，则f（x）是三角函数”的否命题是“若f（x）是周期函数，则f（x）不是三角函数”；②命题“存在x∈R，x2-x＞0”的否定是“对于任意x∈R，x2-x＜0”；③在△ABC中，“sinA＞sinB”是“A＞B”成立的充要条件；④若函数f（x）在（2015，2017）上有零点，则一定有f（2015）•f（2017）＜0．A.0B.1C.2D.36.已知函数，则y=f（x）的图象大致为（）A. B. C. D.7.在R上可导的函数f(x)=，当x∈(0，1)时取得极大值．当x∈(1，2)时取得极小值，则的取值范围是( )A. B. C. D.8.函数的图象向左平移个单位，再将图象上各点的横坐标压缩为原来的，那么所得图象的一条对称轴方程为（）A. B. C. D.9.一个物体的运动方程为s=（2t+3）2，其中s的单位是米，t的单位是秒，那么物体在第2秒末的瞬时速度是（）A.20米/秒B.28米/秒C.14米/秒D.16米/秒10.已知函数f（x）=，若f（-1）=2f（a），则a的值等于（）A.或-B.C.-D.±11.已知函数f（x）=aln（x+1）-x2，在（1，2）内任取两个实数x1，x2（x1≠x2），若不等式＞1恒成立，则实数a的取值范围为（）A.（28，+∞）B.[15，+∞）C.[28，+∞）D.（15，+∞）12.已知y=f（x）是（0，+∞）上的可导函数，满足（x-1）[2f（x）+xf′（x）]＞0（x≠1）恒成立，f （1）=2，若曲线f（x）在点（1，2）处的切线为y=g（x），且g（a）=2016，则a等于（）A.-500.5B.-501.5C.-502.5D.-503.5二、填空题(本大题共4小题，共20分)13.函数y=3sin（2x+），x∈[0，π]的单调递减区间为 ______ ．14.设角α的终边过点P（-4t，3t）（t∈R，且t＞0），则2sinα+cosα= ______ ．15.如图，在平面直角坐标系xOy中，将直线y=与直线x=1及x轴所围成的图形旋转一周得到一个圆锥，圆锥的体积V圆锥=π（）2dx=x3|=．据此类推：将曲线y=x2与直线y=4所围成的图形绕y轴旋转一周得到一个旋转体，该旋转体的体积V=______ ．16.= ______ ．三、解答题(本大题共6小题，共70分)17.已知直线x=与直线x=是函数的图象的两条相邻的对称轴．（1）求ω，φ的值；（2）若，f（α）=-，求sinα的值．18.已知函数f（x）=|x-2|（Ⅰ）解不等式；f（x）+f（2x+1）≥6；（Ⅱ）已知a+b=1（a，b＞0）．且对于 x∈R，f（x-m）-f（-x）≤恒成立，求实数m的取值范围．19.在直角坐标系xOy中，曲线C1的参数方程为（t是参数），以原点O为极点，x轴正半轴为极轴建立极坐标系，曲线C2的极坐标方程为ρ=8cos（θ-）．（1）求曲线C2的直角坐标方程，并指出其表示何种曲线；（2）若曲线C1与曲线C2交于A，B两点，求|AB|的最大值和最小值．20.已知函数f（x）=x3+ax2+bx+a2（ab∈R）（1）若函数f（x）在x=1处有极值10，求b的值；（2）若对任意a∈[-4，+∞），f（x）在x∈[0，2]上单调递增，求b的取值范围．21.已知函数f（x）=Asin（ωx+ϕ）（A＞0且¦Ø＞0，0＜ϕ＜）的部分图象，如图所示．（1）求函数f（x）的解析式；（2）求函数f（x）的单调递增区间；（3）若方程f（x）=a在（0，）上有两个不同的实根，试求a的取值范围．22.已知函数f（x）=alnx+bx2+x，（a，b∈R）（Ⅰ）若函数f（x）在x1=1，x2=2处取得极值，求a，b的值，并求出极值（Ⅱ）若函数f（x）在（1，f（1））处的切线的斜率为1，存在x∈[1，e]，使得f（x）-x≤（a+2）（-x2+x）成立，求实数a的取值范围．河南省郑州市第四十七中学2020届高三12月月考数学（理）试题参考答案1.A2.D3.D4.B5.B6.A7.A8.A9.B10.A 11.C 12.C13.[，]14.15.8π16.cosα17.解：（1）因为直线、是函数f（x）=sin（ωx+φ）图象的两条相邻的对称轴，所以，函数的最小正周期T=2×=2π，从而，因为函数f（x）关于直线对称．所以，即．…（5分）又因为，所以．…（6分）（2）由（1），得．由题意，．…（7分）由，得．从而．…（8分），…（10分）=．…（12分）18.解：（Ⅰ），（2分）当时，由3-3x≥6，解得x≤-1；当时，x+1≥6不成立；当x＞2时，由3x-3≥6，解得x≥3．所以不等式f（x）≥6的解集为（-∞，-1]∪[3，+∞）．…（5分）（Ⅱ）∵a+b=1（a，b＞0），∴（6分）∴对于∀x∈R，恒成立等价于：对∀x∈R，|x-2-m|-|-x-2|≤9，即[|x-2-m|-|-x-2|]max≤9（7分）∵|x-2-m|-|-x-2|≤|（x-2-m）-（x+2）|=|-4-m|∴-9≤m+4≤9，（9分）∴-13≤m≤5（10分）19.解：（1）对于曲线C2有，即，因此曲线C2的直角坐标方程为，其表示一个圆．（5分）（2）联立曲线C1与曲线C2的方程可得：，∴t1+t2=2sinα，t1t2=-13，因此sinα=0，|AB|的最小值为，sinα=±1，最大值为8．（10分）20.解：（1）f′（x）=3x2+2ax+b，∵f（x）在x=1处有极值10，∴解得或，当a=4，b=-11时，f′（x）=3x2+8x-11，其中△＞0，所以函数有极值点，当a=-3，b=3时，f′（x）=3（x-1）2≥0，所以函数无极值点，∴b的值为-11；（2）解法一：f'（x）=3x2+2ax+b≥0对任意的a∈[-4，+∞），x∈[0，2]都成立，则F（a）=2xa+3x2+b≥0对任意的a∈[-4，+∞），x∈[0，2]都成立，∵x≥0，F（a）在a∈[-4，+∞）单调递增或为常数函数，所以得F（a）min=F（-4）=-8x+3x2+b≥0对任意的x∈[0，2]恒成立，即b≥（-3x2+8x）max，又-3x2+8x=-3（x-）2+≤，当x=时（-3x2+8x）max=，得b≥；解法二：f'（x）=3x2+2ax+b≥0对任意的a∈[-4，+∞），x∈[0，2]都成立即b≥-3x2-2ax对任意的a∈[-4，+∞），x∈[0，2]都成立，即b≥（-3x2-2ax）max．令F（x）=-3x2-2ax=-3（x+）2+，①当a≥0时，F（x）max=0，∴b≥0；②当-4≤a＜0时，F（x）max=，∴b≥．又∵（）MAX=，∴b≥．21.解：（1）由图象易知函数f（x）的周期为T=4×（-）=2π，A=1，所以ω=1；由图象知f（x）过点，则，∴，解得；又∵，∴ϕ=，∴；…4分（2）由，得，∴f（x）的单调递增区间为[-+2kπ，+2kπ]，k∈Z；…8分（3）方程f（x）=a在（0，）上有两个不同的实根，等价于y=f（x）与y=a的图象在（0，）上有两个交点，在图中作y=a的图象，如图所示；由函数f（x）=sin（x+）在（0，）上的图象知，当x=0时，f（x）=，当x=时，f（x）=0，由图中可以看出有两个交点时，a∈（-1，0）∪（，1）．…12分22.解：（Ⅰ）函数f（x）=alnx+bx2+x的导数为f′（x）=+bx+1，由在x1=1，x2=2处取得极值，可得f′（1）=a+b+1=0，f′（2）=a+2b+1=0，解得a=-，b=-．此时f（x）=-lnx-x2+x，f′（x）=--x+1=-x （0，1） 1 （1，2） 2 （2，+∞）f′（x）- 0 + 0 -f（x）减极小增极大减所以，在x=1取得极小值，在x=2取得极大值-ln2；（Ⅱ）若函数f（x）在（1，f（1））处的切线的斜率为1，则f′（1）=a+b+1=1，则a=-b，故f（x）=alnx-x2+x，若f（x）-x=alnx--x2≤（a+2）（-x2+x）成立，则a（x-lnx）≥x2-2x成立，由x∈[1，e]，可得lnx≤1≤x，且等号不能同时取，所以lnx＜x，即x-lnx＞0．因而a≥（x∈[1，e]）．令g（x）=（x∈[1，e]）又g′（x）=，当x∈[1，e]时，x-1≥0，lnx≤1，x+2-2lnx≥0，从而g′（x）≥0（仅当x=1时取等号），所以g（x）在[1，e]上为增函数．故g（x）的最大值为g（1）=-1，则a的取值范围是[-1，+∞）．【解析】1. 解：∵集合P={0，1}，M={x|x⊆P}，含有n个元素的集合的子集共有：2n个，∴集合M有4个元素{∅，{0}，{1}，{0，1}}，4个元素的集合子集个数24=16．故选：A．根据子集的含义知，集合M有4个元素，4个元素的集合子集个数24=16，即可得到结论．本题主要考查了集合的子集，一般地，含有n个元素的集合的子集共有：2n个．2. 解：A当x=2时，2x=x2，故错误；B根据指数函数性质可知对任意的x，都有e x＞0，故错误；C若a＞b，c＞d，根据同向可加性只能得出a+c＞b+d，故错误；Dac2＜bc2，可知c≠0，可推出a＜b，但反之不一定，故是充分不必要条件，故正确．故选D．A，B，C 根据特殊值法和指数函数的性质直角判断即可；D主要是对c=0特殊情况的考查．考查了选择题中特殊值法的应用和充分不必要条件的概念．属于基础题型，应熟练掌握．3. 解：命题是特称命题，则命题的否定是故选：D．根据特称命题的否定是全称命题进行求解即可．本题主要考查含有量词的命题的否定，比较基础．4. 解：由=kπ+，k∈z，解得x=•π+，k∈z，故的对称轴为，故①正确．由于函数=2（）=2sin（x+），其最大值等于2，故②正确．由于函数f（x）=sinx•cosx-1=sin2x-1，它的周期为T==π，故③不正确．由0≤x≤可得≤2x+≤，故当2x+=时，有最小值，故当2x+=时，有最大值1，故函数上的值域为[，1]．故选B．考查的对称性可得①正确．利用两角和的正弦公式化简函数的解析式为2sin（x+），其最大值等于2，故②正确．根据函数f（x）=sin2x-1的周期为T=π，故③不正确．根据≤2x+≤，可得函数上的值域为[，1]，故④不正确．本题主要考查两角和的正弦公式，正弦函数的定义域、周期性，奇偶性和对称性，判断命题的真假，属于中档题．5. 解：①命题“若f（x）是周期函数，则f（x）是三角函数”的否命题是“若f（x）不是周期函数，则f（x）不是三角函数”；故①错误，②命题“存在x∈R，x2-x＞0”的否定是“对于任意x∈R，x2-x≤0”；故②错误③在△ABC中，“sinA＞sinB”等价为a＞b，则等价为“A＞B”，故，“sinA＞sinB”是“A＞B”成立的充要条件；故③正确，④若函数f（x）在（2015，2017）上有零点，则一定有f（2015）•f（2017）＜0．错误，当f（2015）•f（2017）＞0也可能，故④错误．故选：B①根据命题的否命题的定义进行判断，②根据含有量词的命题的否定进行判断，③根据充分条件和必要条件的定义进行判断，④根据将函数零点的定义进行判断．本题主要考查命题的真假判断，涉及的知识点较多，综合性较强，但难度不大6. 解：令g（x）=x-lnx-1，则，由g'（x）＞0，得x＞1，即函数g（x）在（1，+∞）上单调递增，由g'（x）＜0得0＜x＜1，即函数g（x）在（0，1）上单调递减，所以当x=1时，函数g（x）有最小值，g（x）min=g（0）=0，于是对任意的x∈（0，1）∪（1，+∞），有g（x）≥0，故排除B、D，因函数g（x）在（0，1）上单调递减，则函数f（x）在（0，1）上递增，故排除C，故选A．利用函数的定义域与函数的值域排除B，D，通过函数的单调性排除C，推出结果即可．本题考查函数的单调性与函数的导数的关系，函数的定义域以及函数的图形的判断，考查分析问题解决问题的能力．7. 试题分析：由题意知f′(x)=x2+ax+2b，结合题设条件由此可以导出的取值范围．∵f(x)=，∴f′(x)=x2+ax+2b，设x2+ax+2b=(x-x1)(x-x2)，(x1＜x2)则x1+x2=-a，x1x2=2b，因为函数f(x)当x∈(0，1)时取得极大值，x∈(1，2)时取得极小值∴0＜x1＜1，1＜x2＜2，∴1＜-a＜3，0＜2b＜2，-3＜a＜-1，0＜b＜1．∴-2＜b-2＜-1，-4＜a-1＜-2，∴，故选A．8. 解：将函数的图象向左平移个单位，得到函数y=sin（x++）=cosx的图象，再将图象上各点的横坐标压缩为原来的，得到函数y=cos2x的图象，由2x=kπ，得x=kπ，k∈Z,∴所得图象的对称轴方程为x=kπ，k∈Z，k=-1时，x=-,故选A.本题主要考查了三角函数图象的平移和伸缩变换，y=Asin（ωx+φ）型函数的性质，先利用三角函数图象的平移和伸缩变换理论求出变换后函数的解析式，再利用余弦函数图象和性质，求所得函数的对称轴方程，即可得正确选项.9. 解：∵s=s（t）=（2t+3）2，∴s′（t）=4（2t+3），则物体在2秒末的瞬时速度s′（2）=28米/秒，故选：B．求函数的导数，利用导数的物理意义即可得到结论．本题主要考查导数的计算，利用导数的物理意义是解决本题的关键，比较基础．10. 解：f（-1）=（-1）2=1，则由f（-1）=2f（a），得1=2f（a），即f（a）=，若a＞0，由f（a）=得log3a=，得a=，若a＜0，由f（a）=得a2=，得a=-或（舍），综上a的值等于或-，故选：A．利用分段函数的表达式建立方程关系进行求解即可．本题主要考查分段函数的应用，根据条件讨论a的取值，解方程是解决本题的关键．11. 解：因实数x1，x2在区间（1，2）内，故x1+1和x2+1在区间（2，3）内．不等式＞1恒成立，即为＞0，即有函数y=f（x）-x在（2，3）内递增．函数y=f（x）-x=aln（x+1）-x2-x的导数为y′=-2x-1，即有y′≥0在（2，3）恒成立．即a≥（2x+1）（x+1）在（2，3）内恒成立．由于二次函数y=2x2+3x+1在[2，3]上是单调增函数，故x=3时，y=2x2+3x+1在[2，3]上取最大值为28，即有a≥28，故答案为[28，+∞）．故选：C．求得x1+1和x2+1在区间（2，3）内，将原不等式移项，可得＞0，即有函数y=f（x）-x在（2，3）内递增．求得函数y的导数，可得y′≥0在（2，3）恒成立，即a≥2x2+3x+1在（2，3）内恒成立，求出函数y=2x2+3x+1在[2，3]上的最大值即可．本题考查了导数的应用：判断单调性，考查函数的单调性的运用，考查转化思想，将不等式转化为函数的单调性是解题的关键．12. 解：令F（x）=x2f（x），由（x-1）[2f（x）+xf′（x）]＞0（x≠1），可得x＞1时，2f（x）+xf′（x）＞0即2xf（x）+x2f′（x）＞0，即F（x）递增；当0＜x＜1时，2f（x）+xf′（x）＜0即2xf（x）+x2f′（x）＜0，即F（x）递减．即有x=1处为极值点，即为F′（1）=0，即有2f（1）+f′（1）=0，由f（1）=2，可得f′（1）=-4，曲线f（x）在点（1，2）处的切线为y-2=-4（x-1），即有g（x）=6-4x，由g（a）=2016，即有6-4a=2016，解得a=-502.5．故选：C．令F（x）=x2f（x），讨论x＞1，0＜x＜1时，F（x）的单调区间和极值点，可得F′（1）=0，即有2f（1）+f′（1）=0，由f（1）=2，可得f′（1）=-4，求得f（x）在（1，2）处的切线方程，再由g（a）=2016，解方程可得a 的值．本题考查导数的运用：求切线的斜率，考查导数的运算法则的逆用，以及函数的单调区间和极值点，考查运算能力，属于中档题．13. 解：y=3sin（2x+），k∈Z，令2kπ+≤2x+≤2kπ+，k∈Z，解得：kπ+≤x≤kπ+，k∈Z，当k=0时，≤x≤，x∈[0，π]的单调递减区间为：[，]，故答案为：[，]．根据三角函数的单调性，求得y=3sin（2x+）的单调递减区间，令k=0时，即可得到结论．本题主要考查三角函数单调性和单调区间的求解，根据正弦函数的单调性是解决本题的关键，属于基础题．14. 解：∵角α的终边过点P（-4t，3t）（t∈R，且t＞0），∴r=|OP|=5t，x=-4t，y=3t，∴sinα==，cosα==-，则2sinα+cosα=-=，故答案为：．由条件利用任意角的三角函数的定义，求得要求式子的值．本题主要考查任意角的三角函数的定义，属于基础题．15. 解：由题意旋转体的体积V===8π，故答案为：8π．根据题意，类比可得旋转体的体积V=，求出原函数，即可得出结论．本题给出曲线y=x2与直线y=4所围成的平面图形，求该图形绕xy轴转一周得到旋转体的体积．着重考查了利用定积分公式计算由曲边图形旋转而成的几何体体积的知识，属于基础题．16. 解：=．故答案为：cosα．直接运用三角函数的诱导公式化简即可得答案．本题主要考察了运用诱导公式化简求值，比较简单，属于基础题．17.（1）由题意及正弦函数的图象和性质可求函数的最小正周期T，由周期公式可求ω，由函数f（x）关于直线对称，可得，结合范围，即可解得φ的值．（2）由（1）得，由，得．可求，利用两角差的正弦函数公式即可求值得解．本题主要考查了正弦函数的图象和性质，周期公式，两角差的正弦函数公式的应用，考查了计算能力和转化思想，属于中档题．18.（Ⅰ）根据绝对值不等式的解法，利用分类讨论进行求解即可．（Ⅱ）利用1的代换，结合基本不等式先求出的最小值是9，然后利用绝对值不等式的性质进行转化求解即可．本题主要考查绝对值不等式的解法，以及不等式恒成立问题，利用1的代换结合基本不等式，将不等式恒成立进行转化求解是解决本题的关键．19.（1）利用极坐标与直角坐标的互化方法，即可得出结论；（2）联立曲线C1与曲线C2的方程，利用参数的几何意义，即可求|AB|的最大值和最小值．本小题主要考查极坐标系与参数方程的相关知识，具体涉及到极坐标方程与平面直角坐标方程的互化、利用直线的参数方程的几何意义求解直线与曲线交点的距离等内容．本小题考查考生的方程思想与数形结合思想，对运算求解能力有一定要求．20.（1）先对函数求导f'（x）=3x2+2ax+b，由题意可得f（1）=10，f′（1）=0，结合导数存在的条件可求；（2）解法一：f'（x）=3x2+2ax+b≥0对任意的a∈[-4，+∞），x∈[0，2]都成立，构造关于a的函数F（a）=2xa+3x2+b≥0对任意a∈[-4，+∞），x∈[0，2]都成立，结合函数单调性可得F（a）min=F（-4）从而有b ≥（-3x2+8x）max，解法二： f'（x）=3x2+2ax+b≥0对任意的a∈[-4，+∞），x∈[0，2]都成立，即b≥-3x2-2ax对任意的a ∈[-4，+∞），x∈[0，2]都成立，即b≥（-3x2-2ax）max．构造函数F（x）=-3x2-2ax=-3（x+）2+，结合二次函数的性质进行求解函数F（x）的最大值即可．本题主要考查了利用导数研究函数的极值，利用构造函数的思想把恒成立转化为求解函数的最值问题，要注意构造思想在解题中的应用．21.（1）由图象得出函数f（x）的周期T，振幅A，计算ω的值，再求出φ的值即得f（x）；（2）由正弦函数的图象与性质，即可求出f（x）的单调递增区间；（3）把问题化为y=f（x）与y=a的图象在（0，）上有两个交点问题，利用函数的图象即可求出a的取值范围．本题考查了三角函数的图象与性质的应用问题，也考查了方程与函数的应用问题，是综合性题目．22.（Ⅰ）求得f（x）的导数，由题意可得f′（1）=a+b+1=0，f′（2）=a+2b+1=0，求得a，b的值，可得f（x）及导数，求得单调区间，可得极值；（Ⅱ）求得f（x）的导数，由导数的几何意义，解方程可得a=-b，故f（x）=alnx-x2+x，由题意可得a（x-lnx）≥x2-2x成立，由条件可得a≥（x∈[1，e]），令g（x）=（x∈[1，e]），求得导数，判断单调性，可得最小值，即可得到a的范围．本题考查导数的运用：求单调区间和极值、最值，考查不等式成立问题的解法，注意运用分离参数和构造函数法，考查化简整理的运算能力，属于中档题．。

等差数列

等差数列

等差数列、等比数列的概念及求和题组一一、选择题1．（浙江省杭州二中2011届高三11月月考试题文）已知数列{}n a 中，111,34(*2)n n a a a n N n -==+∈≥且，则数列{}n a 通项公式n a 为 （ ）A ．13n -B ．138n +-C ．32n -D ．3n答案 C.2. （甘肃省甘谷三中2011届高三第三次检测试题）已知等差数列}{n a 的前n 项和为n S ，若45818,a a S =-=则( )A ．18 B. 36 C. 54 D. 72 答案 D.3. （福建省安溪梧桐中学2011届高三第三次阶段考试理）已知公差不为0的等差数列{}n a 满足134,,a a a 成等比数列，n n S 为{a }的前n 项和，则3253S S S S --的值为（ ）A ．2B ．3C ．15D ．4答案 A.4.（福建省三明一中2011届高三上学期第三次月考理）数列{}n a 是公差不为0的等差数列，且137,,a a a 为等比数列{}n b 的连续三项，则数列{}n b 的公比为（ ）A ．B ．4C ．2D ．12答案 C.5 . （福建省四地六校2011届高三上学期第三次联考试题理）已知数列｛a n ｝的通项公式为2245n a n n =-+ 则｛a n ｝的最大项是（ ） A ．a 1B ．a 2C ．a 3D ．a 4答案 B. 6．（浙江省杭州二中2011届高三11月月考试题文）等比数列{}n a 中，372,8,a a == 则5a =（ ）A ．4±B ．4C ．6D ．4-答案 B.7.（福建省厦门外国语学校2011届高三11月月考理） 已知等差数列{}n a 的公差为2-，且245,,a a a 成等比数列，则2a 等于（ ）A ．-4B ．-6 cC ．-8D ．8 答案 D.8．（浙江省温州市啸秋中学2010学年第一学期高三会考模拟试卷）已知数列{a n }的前n 项和S n =312n a n +=+,则A ．201 B ．241 C ．281 D ．321答案 A.9. （广东省华附、中山附中2011届高三11月月考理）已知等差数列{}n a 的前n 项和为n S ，且2510,55S S ==，则过点(,)n P n a 和2(2,)n Q n a ++(n ÎN *)的直线的斜率是A ．4B ．3C ．2D ．1答案 A.10. （甘肃省甘谷三中2011届高三第三次检测试题）设{}n a 是公差为正数的等差数列，若12315a a a ++=，12380a a a =，则111213a a a ++=（ ）A ．120B ．105C ．90D ．75答案 B.11．（北京四中2011届高三上学期开学测试理科试题）已知等差数列的前项和为，若，且A 、B 、C 三点共线（该直线不过 原点），则＝（ ）A ．100 B. 101 C. 200 D. 201 答案 A.12. （贵州省遵义四中2011届高三第四次月考理）在等差数列{}n a 中，351024a a a ++=，则此数列的前13项的和等于（ ）A ．13B ．26C ．8D ．16答案 A.13. （河南省郑州市四十七中2011届高三第三次月考文）在等比数列{}n a 中，已知13118a a a =，那么28a a =（A ）3 （B ）4 （C ）12 （D ）16 答案 B.14．（黑龙江大庆实验中学2011届高三上学期期中考试理）若一个等差数列前3项的和为34，最后3项的和为146，且所有项的和为390，则这个数列有（ ）.13A 项.12B 项 .11C 项 .10D 项答案 A.15．（浙江省杭州二中2011届高三11月月考试题文）已知等差数列{}n a 的前n 项和为n S ，且3711315a a a ++=，则13S =（ ）A ． 104B ． 78C ． 52D ． 39答案 D.16．（福建省厦门双十中学2011届高三12月月考题理）如果数列103*,8,,)}({a a a a a N n m R a a n m n m n n 那么且满足对任意=⋅=∈∈+等于（ ） A ．256B ．510C ．512D ． 1024答案 D.17．（北京龙门育才学校2011届高三上学期第三次月考）（理科）已知数列{}n a 满足1133,2,+-==n na a a n则n a n的最小值为 （ ）A ．10B ．10．5C ．9D ．8答案 B.18．（重庆市重庆八中2011届高三第四次月考理）等差数列{}n a 满足:296a a a +=,则9S = （ ）A ．2-B ．0C ．1D ．2答案 B.19．（重庆市南开中学高2011级高三1月月考理）在数列{}n a 中，*111001,,(),n n a a a n n N a +=-=∈则的值为（ ）A ．55050B ．5051C ．4950D ．4951答案 D.20．（浙江省诸暨中学2011届高三12月月考试题文）在等差数列｛a n ｝中，a 1＋3a 8＋a 15＝120，则2a 6－a 4的值为A ．24B ．22C ．20D ．-8 答案 A.21．（浙江省温州市啸秋中学2010学年第一学期高三会考模拟试卷）若{a n }为等差数列，且a 2＋a 5＋a 8＝39，则a 1＋a 2＋…＋a 9的值为A ．117B ．114C ．111D ．108 答案 A.22. （甘肃省甘谷三中2011届高三第三次检测试题）已知a b c d ，，，成等比数列，且曲线223y x x =-+的顶点是()b c ，，则a d 等于（ ）Ａ．3 Ｂ．2 Ｃ．1 Ｄ．2-答案 B.23．（浙江省温州市啸秋中学2010学年第一学期高三会考模拟试卷）数列{}n a 满足⎪⎪⎩⎪⎪⎨⎧<≤-<≤=+)121(12)210(21n n n n n a a a a a若761=a ，则=8aA ．76 B ．75 C ．73 D ．71答案 B. 二、填空题24．（浙江省杭州二中2011届高三11月月考试题文）已知等差数列{}n a 的前n 项和为n S ，且13140,0,S S ><若10t t a a +<则t ＝ ． 答案：7.25．（福建省厦门外国语学校2011届高三11月月考理）已知等比数列{}n a 各项均为正数,前n 项和为n S ，若22a =，1516a a =．则5S =▲▲． 答案 31. 三、简答题26．（浙江省温州市啸秋中学2010学年第一学期高三会考模拟试卷） 已知{}n a 为等比数列，且364736,18.a a a a +=+=（1）若12n a =，求n ；（2）设数列{}n a 的前n 项和为n S ，求8S .答案 解：设11n n a a q-=，由题意，解之得112812a q =⎧⎪⎨=⎪⎩，进而11128()2n n a -=⋅ （1）由111128()22n n a -=⋅=，解得9.n = ………3分（2）1(1)1256[1()]12nnn a q S q-==--881256[1()]255.2S ∴=-= ………3分27．（浙江省诸暨中学2011届高三12月月考试题文）（本小题满分14分）已知数列{}n a 是公比为d )1(≠d 的等比数列，且231,,a a a 成等差数列. (Ⅰ) 求d 的值;(Ⅱ) 设数列{}n b 是以2为首项，d 为公差的等差数列，其前n 项和为n S ，试比较n S 与n b 的大小.答案 (Ⅰ) 解：012,2,221121213=--∴+=∴+=d d d a a d a a a a21,1-=∴≠d d(Ⅱ) 解：,25221)1(2+-=⎪⎭⎫ ⎝⎛-⋅-+=n n b n ,492)(21nn b b n S n n +-=+=4)10)(1()252(492---=+--+-=-∴n n n nn b S n n;101n n b S n n ===∴时，或 ;,92n n b S n >≤≤时n n b S ，n <≥时11.28．（重庆市南开中学高2011级高三1月月考理）（13分）已知数列{}n a 是公比大于1的等比数列，n S 为数列{}n a 的前n 项和，37S =，且1233,3,4a a a ++成等差数列。

2019-2020学年郑州第四十七中学高三英语月考试题及参考答案

2019-2020学年郑州第四十七中学高三英语月考试题及参考答案

2019-2020学年郑州第四十七中学高三英语月考试题及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项ACharlie Thorne and the Last Equationby Stuart GibbsThe CIA is on a task to find an equation (方程式) called Pandora, which could destroy the world if the wrong people get it. For help, they turn to Charlie, a 12-year-old girl who's as smart as Albert Einstein. People who like action-packed mysteries will enjoy reading this exciting book.AstroNutsby Jon Scieszka and Steven WeinbergIn AstroNuts, the Earth has been destroyed by humans for thousands of years. Four animals set out from Mount Rushmore, the headquarters (总部) of NNASA. Their task is to find a new planet fit for human life. Finally, they discover one: Plant Planet. The story's theme (主题) is simple: Don't harm the planet. Readers who love fantasy will enjoy AstroNuts.Stargazingby Jen WangChristine hears that Moon, who's new in town, is the kind of kid who beats people up for fun. But Moon and her mum come to live with Christine's family, and the two kids become best friends. Moon even shares a big secret with Christine. Stargazing is based on author Jen Wang's experiences as a child. The story is about the power of friendship and how people are able to change.Roll with Itby Jamie SumnerRoll with It is a story about a 12-year-old girl named Ellie. She has difficulty walking on her own and uses a wheelchair. When Ellie and her mum move to another state to take care of Ellie's grandpa, she must learn to navigate (处理) a new school and new friendships. This page-turner is a must-read for everyone. It's a heartwarming story that really shows the value of familyand how being different is special.1. Which book tells readers to protect the place we live in?A.AstroNutsB.Stargazing.C.Roll with It.D.Charlie Thorne and the Last Equation.2. What makes Stargazing different from the other three books?A. It talks about friendship.B. It tells stories about animals.C. It contains lots of scientific knowledge.D. It was written according to the author's experiences.3. What happened to Ellie?A. She had difficulty in making friends.B. She had an accident which left her in a wheelchair.C. She went to a new school and had to start all over again.D. She lost her mum and was taken care of by her grandpa.BJose Hernandez made his dream of becoming an astronaut a reality and he did so despite unbelievable difficulties“I was workingin a field near Stockton, and I heard on my radio that Franklin Chang-Diaz had been selected for the Astronaut Corps," said Jose, who was a senior in high school at the timed was already interested in science and engineering, Jose remembered, "but that was the moment I said, "I want to fly in space.' "As one of four children in a migrant（移民）farming family from Mexico, Jose - who didn't learn English until he was 12 years old - spent much of his childhood traveling with his family from Mexico to southern California each March, then working northward to the Stockton area by November, picking strawberries and cucumbers at farms along the route. They would then return to Mexico for Christmas and start the cycle all over again in the spring. "Some kids might think it would be fun to travel like that,“ Jose laughed, "but we had to work”.After graduating from high school, Jose was admitted into the University of the Pacific, In 1987, he accepted a full-time job with Lawrence National Laboratory. In 2001, Jose joinedtheJohnson Space Center, where he came face-to-face with Franklin Chang-Diaz.“We actually had common experiences —asimilar upbringing, the same language issues. That built up my confidence. Any barriers that existed, he had already overcome them.” Jose smiled. "Now it's my tum!,,“NASA rejected me not once, not twice, not three times but 11 times. It wasn't until the 12th time that I gotselected, he said. Jose was selected as part of the 19th class of astronauts in 2004. He circled the globe 217 times but remains a down to Earth guy.Jose Hernandez received the 2016 National Hispanic Hero Award and he continues his long history in the field of engineering and space.4. What made Jose determined to be an astronaut?A. The influence of Astronaut Corps.B. The success of Franklin Chang-Diaz.C. His interest in science and engineering.D. The experience of working in the field.5. What can we learn about Jose as a child?A. He did much farm work.B. He travelled a lot for fun.C. He hated learning English.D. He obeyed his family in everything.6. How did Jose feel when he met FranklinChang-Diaz personally?A. Inspired.B. Valued.C. Relaxed.D. Puzzled.7. What can be a suitable title for the text?A. Climb over BarriersB. Reach for the StarsC. Work the Hard WayD. Learn from Your PastCIf you think you’d like to live on Mars, you may have that possibility by 2023. A Dutch company called Mars One will soon advertise for people interested in colonizing (开拓) Mars. Ifyou have all the necessary skills, you could be one of the first colonists. Are you ready for the challenge?You won’t have to pay for the mission to Mars. Mars One has already received money from some donors and is hoping to get more from TV viewers who will become interested in the show where all applicants have a debate for the rare chances.The main responsibility of the first colonists is to create an artificial environment on Mars where there is no air to breathe and no land to farm. Scientists know it’s quite possible because something similar has already been done inAntarctica.Another problem is that space travel to Mars takes nearly a year to get to Mars and the colonists will live the rest of their lives there. When a human lives in an environment without gravity or with low gravity for a long time, the systems in the body weaken. Luckily, spinning (旋转) the spaceship can create artificial gravity, and artificialgravity can ease these problems. It will also be difficult for Mars colonists to be far from home, living in small spaces, and seeing the same people over and over. Colonists with depression could put the mission in danger. Fortunately, a few years ago, a joint Russian and European project called the Mars500 Mission studied people’s reactions in a Mars-like environment. It is viewed as a great success because scientists were able to see how people handle emotional and physical stresses.Recent studies show that seven percent of people would want to go on such an adventure.Mars One will soon start accepting its first colonists. Are you interested?8. What do we know about the applicants to Mars from the first two paragraphs?A. They will land on Mars in 2023.B. They can get money from donors.C. They will compete in a TV show.D. They do not need special skills.9. What will the first colonists do to solve the basic living problems on Mars?A. Create earth-like conditions.B. Build labs inAntarctica.C. Spin the spaceship.D. Start the Mars500Mission.10. What can the life of the first colonists be like according to the passage?A. Difficult and dangerous.B. Different but adaptable.C. Challenging and unbearable .D. Acceptable but depressing.11. What’s the best title for the text?A. Mars: our final destination?B. Ready to be Mars’ colonists?C. Space travel: a thrilling adventure?D. Are you a qualified Mars astronaut?DElizabeth Bishop is considered one of the best American poets of the 20th century. She was born in Worcester, Massachusetts in 1911. Her dad died when she was just a baby and her mom never recovered from the loss. Shewent to live with her grandparents in Nova Scotia, Canada when she was five. Eventually Bishop attended Vassar College, where she began to write poetry.At Vassar she discovered Marianne Moore's poetry and met Ms Moore and began their life-long friendship. She later met poet Robert Lowell. She wrote tons and tons of letters to both of them, which is good for us because we would otherwise know very little of her personal life.Bishop published her first book of poetry in 1946 and wrote until her death in 1979. She would spend years working on a single poem. Her poems are not the result of hasty scribbling (匆忙乱写) on paper while eating breakfast. She would look through drafts of poems again and again and improve them until they were as close to perfect as she could get them.Reading Elizabeth Bishop is like being transported to the very place, the very moment she's writing about. She leads us to a microscope so we can see every smallest part of the scene. It seems that she's always asking us to notice more, and more until the poem is so clear in our minds that it's almost painful—like a light that's too bright.12. What do we know about Bishop's early life?A. She was mainly brought up by her grandparents.B. She spent her childhood mainly in Worcester.C. She was always encouraged by her parents.D. She started to write poems at five.13. Why are Bishop's letters to Moore and Lowell important?A. They have a deep influence on other poets.B. They offer much information about her life.C. They help us study Moore and Lowell's poetry.D. They prove she had friendships with famous poets.14. What can we say about Bishop's poetic creation?A. She liked to write in the morning.B. She could write poems at high speed.C. She tried her best to achieve perfection.D. She published hundreds of books of poetry.15. Which word can be used to best describe the style of Bishop’s poems?A. Enthusiastic.B. Romantic.C. Humorous.D. Exact.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

2020届郑州市第四十七中学高三英语月考试卷及参考答案

2020届郑州市第四十七中学高三英语月考试卷及参考答案

2020届郑州市第四十七中学高三英语月考试卷及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项AFine art fairs（艺术博览会）are the trend of the 21st century, with new art and antique（古玩）fairs and festivals springing up in diverse parts of the world. Here is a list of four noteworthy art fairs.Art Basel, Basel, SwitzerlandThe granddaddy of art fairs, Art Basel, was established in 1970 by a group of local art gallerists and is the biggest contemporary art fair in the world. Art Basel takes place over a 5-day period each June in Basel, Switzerland. The high cost of renting space for gallery owners is offset（抵消）by the huge attendance at the fair. For example in 2010, about 60,000 visitors attended Art Basel.Frieze Art Fair, London“Frieze Art Fair was established in 2003 and is one of the few fairs to focus only on contemporary art and living artists.v"Thefair takes place every October in Regent's Park, London. It features over 170 of the most exciting contemporary art galleries in the world. ”In addition to the fair which began in 2003, the fair owners Matthew Slotover and Amanda Sharp publish Frieze, an international art magazine established in 1991 and devoted to contemporary art.TEFAF Maastricht, the NetherlandsEstablished in 1975 as The Pictura Fine Art Fair, and renamed The European Fine Art Foundation（TEFAF）, Maastricht in 1996, the fair includes 260 of the world's most famous art and antique dealers from 16 countries.The 24th edition of the TEFAF fair held March 18 — 27, 2011 featured 260 dealers exhibiting approximately 30, 000 artworks and antiques with an overall value of $ US 1. 4 billion.ARCO, MadridARCO Madrid was established in 1982 and is one of Europe's leading and popular art fairs. In addition to the exhibiting galleries（in 2011, 197 international art galleries participated）, a seriesof lectures and specially focused exhibitions take place.1.How does Art Basel cover the expense of renting space?A.By selling tickets.B.By selling expensive exhibits.C.By donation from dealers.D.By support from the government.2.The owners of Frieze Art Fair are also in charge of____.A.170 living artists.B.An international art magazine.C.30,000 artworks and antiques.D.A series of lectures.3.Which of the following has the longest history?A.Art BaselB.Frieze Art FairC.TEFAFD.ARCOBWhen I was seven my father gave me a Timex, my first watch. I loved it, wore it for years, and haven’t had another one since it stopped ticking a decade ago. Why? Because I don’t need one. I have a mobile phone and I’m always near someone with an iPod or something like that. All these devices (装置) tell the time — which is why, if you look around, you’ll see lots of empty wrists; sales of watches to young adults have been going down since 2007. This is ridiculous. Expensive cars go faster than cheap cars. Expensive clothes hang better than cheap clothes. But these days all watches tell the time as well as all other watches. Expensive watches come with extra functions — but who needs them? How often do you dive to 300 metres into the sea or need to find your direction in the area around the South Pole? So why pay that much of five years’ school fees for watches that allow you to do these things?If justice were done, the Swiss watch industry should have closed down when the Japanese discovered how to make accurate watches for a five-pound note. Instead the Swiss reinvented the watch, with the aid of millions of pounds’ worth of advertising, as a message about the man wearing it. Rolexes are for those who spend their weekends climbing icy mountains; a Patek Philippe is for one from a rich or noble family; a Breitling suggests you like to pilot planesacross the world.Watches are now classified as “investments” (投资). A 1994 Philippe recently sold for nearly £ 350,000, while 1960s Rolexes have gone from £ 15,000 to £ 30,000 plus in a year. But a watch is not an investment. It’s a toy for self-satisfaction, a matter of fashion. Prices may keep going up — they’ve been rising for 15 years. But when of fashion. Prices may keep going up — they’ve been rising for 15 years. But when fashion moves on, the owner of that £ 350,000 beauty will suddenly find his pride and joy is no more a good investment than my childhood Times.4. The author don’t need another watch because ________.A. he don’t like wearing a watchB. he has mobile phone and can ask someone for helpC. he has no sense of timeD. he thinks watches too expensive5. It seems ridiculous to the writer that________.A. expensive watches with unnecessary functions still sellB. expensive clothes sell better than cheap onesC. cheap cars don’t run as fast as expensive onesD. people dive 300 metres into the sea6. What can be learnt about Swiss watch industry from the passage?A. It wastes a huge amount of money in advertising.B. It’s hard for the industry to beat its competitors.C. It targets rich people as its potential customers.D. It’s easy for theindustry to reinvent cheap watches.7. Which would be the best title for the passage?A. Timex or Rolex?B. My Childhood TimexC. Watches? Not for Me!D. Watches----a Valuable CollectionCIt’s a big change from homeless teen to Yale (耶鲁)medical school student, butperseverancepaid off for Chelesa Fearce of Clayton County, Georgia.Fearce was a fourth grader when her mom was diagnosed (诊断) with Lymphoma (淋巴瘤).That began a hard time for the family. They had to move in and out of shelters,hotels and even the family car.“I know I have been made stronger. I was homeless. My family slept on the floor and we were lucky if we got more than one full meal a day. Getting a shower, food and clean clothes was an everyday struggle,” Fearce said in a speech she gave at her high school graduation ceremony. Fearce overcame her day-to-day struggles by focusing on a better day. “I just told myself to keep working, because the future will not be like this anymore. And that helped me get through,” she told WSBTV.Fearce was determined to be a good role model for her younger sister. She found inspiration in her late grandmother, struggling with deadly diseases, who gave Fearce emotional support. In her junior and senior year, Fearce took both high school and college courses, missing out on the free meals she depended on so she could get to her college classes. Despite having to use her cellphone to study after the shelter lights were turned off at night, she not only graduated as valedictorian (毕业生代表) of her 2013 class with a 4.5 grade average, but was also given a ride scholarship—including a meal plan to Spelman College in Atlanta.After graduation, she worked full time for two years at the National Institutes for HealthinBethesda,Maryland,doing research on drugs. Last fall, she entered Yale and set a course to earn both a PhD and medical degree.8. What does the underlined word “perseverance” in paragraph 1 refer to?A. instant passion.B. continuous efforts.C. great patience.D. selfless ambitions.9. How did Fearce feel facing the sufferings?A. Sad and disappointed.B. Stressed and defeated.C. Determined and confident.D. Joyous and contented.10. What can we know about Fearce’s learning experience?A. Her grandma encouraged her to study medicine.B. Her high school offered her free meals and courses.C. She failed to study late due to frequent power cut.D. She gained remarkable high school achievement.11. What can be a suitable title for the text?A. From Homeless to YaleB. Meet American’s Top GirlC. Disabled but not DefeatedD. Chelesa Fearce: A Girl of Many TalentsDIn the northern part ofAustin there once lived an honest family by the name of Smothers. The family had John Smothers, his wife and their five-year-old daughter.One night after supper the little girl was ill with a serious stomachache, and John Smothers hurried downtown to get some medicine. He never came back. The mother was very sad over her husband's disappearance, and it was nearly three months before she married again, and moved to San Antonio. The little girl recovered and in time grew up to womanhood. After a few years had rolled around, the little girl also married in time, and she also had a little girl of five years. She still lived in the same house where theydweltwhen her father had left and never returned.By an unbelievable coincidence her little girl was taken with the same stomachache on the same night of the disappearance of John Smothers, who would now have been her grandfather if he had been alive. “I will go downtown and get some medicine for her,” said John Smith(for it was he whom she had married). “No, no, dearJohn,” cried his wife. “You, too, might disappear forever, and then forget to come back.” So John Smith did not go, and together they sat by the bedside of little Pansy. After a little while Pansy seemed to grow worse, and John Smith again wanted to go for medicine, but his wife would not let him.Just then, the door suddenly opened and an old man with long white hair entered the room. “Hello, here is grandpa,” said Pansy. She had recognized him before any of the others. The old man drew a bottle of medicine from his pocket and gave Pansy a spoonful. She got well immediately. “I was a little late,” said John Smothers, “as I waited for a street car.”12. What happened after John Smothers disappeared?A. His daughter took some medicine.B. His wife left for San Antonio.C. Pansy immediately had a stomachache.D. John Smith went for medicine.13. What does the underlined word “dwelt” in paragraph 2 probably mean?A. Lived.B. Left.C. Returned.D. Married.14. What is the relationship between John Smothersand Pansy?A. Husband and wife.B. Father and daughter.C. Grandfather and granddaughter.D. Father and son.15. How could Pansy's mother feel when she saw John Smothers?A. Worried.B. Sad.C. Uninterested.D. Surprised.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

2019-2020学年郑州第四十七中学高三英语模拟试卷及参考答案

2019-2020学年郑州第四十七中学高三英语模拟试卷及参考答案

2019-2020学年郑州第四十七中学高三英语模拟试卷及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项ADo you want to get home from work knowing you have made a real difference in someone’s life? If yes, don’t care about sex or age! Come and join us, then you’ll make it!Position:Volunteer Social Care Assistant (No Pay with Free Meals)Place:ManchesterHours:Part TimeWe are now looking for volunteers to support people with learning disabilities to live active lives! Only 4 days left. Don’t miss the chance of lending your warm hands to help others!Role:You will provide people with learning disabilities with all aspects of their daily lives. You will help them to develop new skills. You will help them to protect their rights and their safety. But your primary concern is to let them know they are valued.Skills and Experience Required:You will have the right values and great listening skills. You will be honest and patient. You will have the ability to drive a car and to communicate in fluent written and spoken English since you’ll have to help those people with different learning disabilities. Previous care-related experience will be a great advantage for you.1.The text is meant to_________.A.carry an adB.send an invitationC.present a documentD.leave a note2.The volunteers’ primary responsibility is to help people with learning disabilities__________.A.to learn new living skillsB.to get some financial supportC.to properly protect themselvesD.to realize their own importance3.Which of the following can first be chosen as a volunteer?A.The one who can drive a car.B.The one who can speak English fluently.C.The one who has relevant work experience.D.The one who has the patience to listen to others.BTwo years ago, I decided to study at theUniversityofSt. Edwardsin the city ofAustin,Texas. When I was on my research to find the perfect place to study in, I considered many aspects: a safe place, a city where there were companies devoted to marketing or technology, a place where speaking Spanish and English was an advantage and a school where I could learn about digital strategies (数字策略). After comparing and evaluating many cities and universities. I finally decided onAustin.Since I arrived inAustin,Texas. I had been living inside the university where I had a private room and shared common areas with more students. University life was not very different from the life inMexicoand classes weresemblableand the way of socializing too. However, in theUnited States, the classes were more practical and teachers encouraged you to be self-responsible and complete your tasks.The classes that I was taking were related to social media, digital marketing and advertising. I was very excited to be able to study technology-related courses.What I liked most about the experience was being able to live with students from many places, which allowed me to learn from other cultures and to share mine with other students. Also, international student services usually organized events and tours that helped me to get to know the city and the school.I certainly think that studying abroad is a beneficial experience. It makes us capable of understanding cultural differences and accepting diversity. Personally, I would suggest that you first determine what your goals are by going abroad, research the opportunities and lifestyle, evaluate your universities,and finally decide on the one where you feel more comfortable, connecting with your values and way of seeing life.4. Which of the following can best describe the author according to paragraph 1？A. Casual.B. Cautious.C. Changeable.D. Adventurous.5.What does the underlined word “semblable” in paragraph 2 probably mean?A. Worthwhile.B. Practical.C. Same.D. Similar.6. What made the author most pleased?A. Speaking Spanish and English inAustin,Texas.B. Working as a designer in a technology company.C. Having a chance to learn about different cultures.D. Organizing many events and tours independently.7. What are the students who intend to study abroad advised to do?A. Be careful to choose the university to study in.B. Set no limits on theiracademic performances.C. Study where they're familiar with everything.D. Adjust personal lifestyles for the university.CHundreds of millions of people watched on television on July 20, 1969, when American astronauts Neil Armstrong and Buzz Aldrin became the first humans to land on the moon. Back then, businesses sold many products connected to the event and many such products are now on sales again — in celebration of the moon landing’s 50th anniversary.A limited number of Omega’s gold Speedmaster watches — the same kind that Buzz Aldrin wore on the moon — will be sold at $34,600. Omega Speedmaster watches have been an important part of space travel since NASA chose them for its moon landing in 1965. Other watches had failed required tests. Omega gave its gold Speedmasters to the astronauts at a dinner in 1969 before the landing. Another less costly type of silver Speedmasters will be sold at $ 9,650. It carries a picture of Aldrin stepping down from the moon lander.Something for children-as well as adults — is the NASA Apollo 11 moon lander set. Made by Lego, it is a group of small pieces to put together to make a model of the moon lander.Other things for sale include the anti-gravity Fisher Space Pens,developed just for the Apollo 11 mission. They work even when writing upside down. Now Fisher Space Pen Company has a limited-edition pen for sale at anout-of this-worldprice: $700, with real material from the Apollo 11 spacecraft.Back in 1969, companies were quick to show their Apollo 11 connections with media and advertisements. The food company Stouffer’s made sure consumers knew it provided food for Apollo 11 astronauts once they returned to Earth. It started the ad campaign “Everybody who’s been to the moon is eating Stouffer’s”. Fifty years later, the company is celebrating with a media campaign to share some recipes from 1969.Marketing experts David Meerman Scott says, “Since 1972,we’ve gone around and around the earth many times, and it is not interesting to people any more. I’m not sure whether they can accept such crazy prices. Now NASA has had plans to go to Mars in the 2030s and marketing efforts for a NASA Mars mission should be in development.”8. What can we learn about the gold Speedmaster watch?A. It will be sold at $34,600.B. NASA bought itats9,650.C. It has Aldrin’s picture inside.D. It was chosen by NASA in 1969.9. What does the underlined word “out-of-this-world” in paragraph 4 mean?A. Extremely fair.B. Surprisingly high.C. Really low.D. Truly worthwhile.10. What does David Meerman Scott mean?A. It is a waste of money to go around and around the moon.B. People will be interested in the products connected to Apollo.C. Since 1972,governments have lost interest in moon explorations.D. The event of going to Mars will be another good chance to advertise.11. What is the author’s main purpose in writing the text?A. To show how to design the best advertisement.B. To forecast the sales of the products in the text.C. To introduce some of the products connected to Apollo 11.D. To celebrate the 50th anniversary of the first moon landing.DThere is an old Chinese proverb that states “One generation plants the trees; another gets the shade,” and this is how it should be with mothers and daughters. The relationship between a mother and a daughter is sometimes confusing. The relationship can be similar to friendship. However, the mother and daughter relationship has unique characteristics that distinguish it from a friendship. These characteristics include responsibilities and unconditional love, whichprecludemothers and daughters from being best friends.Marina, 27 years old, said, “I love spending time with my mom, but I wouldn’t consider her my best friend. Best friends don’t pay for your wedding. Best friends don’t remind you how they carried you in their body and gave you life! Best friends don’t tell you how wise they are because they have been alive at least 20 years longer than you.” This doesn’t mean that the mother and daughter relationship can’t be very close and satisfying. This generation of mothers and adult daughters has a lot in common, which increases the likelihood of shared companionship. Mothers and daughters have always shared the common experience of being homemakers, responsible for maintaining(保持) and passing on family values and traditions. Today contemporary mothers and daughters also share the experience of work and technology, which may bring them even closer together.Best friends may ormay not continue to be best friends, but for better or worse; the mother and daughter relationship is permanent, even if for some unfortunate reason they aren’t speaking. Sometimes this is not anequal relationship. Daughters don’t always feel responsible for their mother’s emotional well-being. But mothers never stop being mothers, which includes frequently wanting to protect their daughters and often feeling responsible for their happiness. The mother and daughter relationship is a relationship that is not replaceable by any other. Mothers always “trump(胜过)” friends.12. What does the underlined word “preclude” in paragraph 1 probably mean?A. differ.B. benefit.C. prevent.D. change.13. What can we learn from what Marina said?A. Best friends will not spend money on her wedding.B. Best friends will not remind her of important issues in life.C. Her mother is wiser on account of her age.D. Her mother is definitely not her best friend.14. Why can a mother and a daughter build a even closer relationship today?A. Because they share advanced technology with each other.B. Because they work together to support the whole family.C. Because they experience the same values and traditions.D. Because they have common experience in life and work.15. What is the text mainly about?A. How to build a good mother and daughter relationship.B. A mother-daughter relationship is irreplaceable.C. Mothers want to be daughters’ friends.D. A daughter is a mother’s best friend.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

2020-2021学年郑州第四十七中学高三英语月考试题及答案

2020-2021学年郑州第四十七中学高三英语月考试题及答案

2020-2021学年郑州第四十七中学高三英语月考试题及答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项AThis is a list of places to spend the 2020 Olympics if you aren't going to Japan.AustraliaThe fact that the summer Olympics fall during Australia's winter season is worth keeping in mind for two reasons: it makes traveling there cheaper, and it's still not too cold. As far as the Olympics are concerned, there will be no shortage of opportunities to watch the Games in between your various explorations of the country and its limitless activities.ThailandThailand is a breathtaking place 10 spend some time during any summer, and provides a perfect setting for Olympie viewing: You can go scuba diving one morning before watching sports all afternoon, or simply duck out for world-famous street food in between events. But Thai sports fans may also be taking extra interest in the Olympics these days.United StatesThe U.S. is likely to be as interested in the Olympics as any other nation, given is collection of athletes who will be taking center stage. You can rest assured it won't be difficult to watch the Games no matter where you're visiting specifically. This leaves you with all sorts of fun options. You can visit a luxury ski resort town like Aspen, which turns into a gorgeous hiking destination in the summer.Great BritainNot unlike the U, s. Britain will make for a fun place to spend the 2020 Olympics because there's a great deal of national interest in a number of different sports, and the local athletes are expected to be competitive. Summer can also be a good time to be in Britain in general," with ly mild temperatures allowing for full exploration of the country. That means you can stay in the beautiful Lake District if you like, hiking or kayaking when you're not watching the Games.1.What is special about Australia as a destination in an Olympic summer?A.Its season.B.Its activities.C.Its sports.D.Its scenery,2.Which country can you go to if you are a street food lover?A.Australia.B.Thailand.C.United States.D.Great Britain.3.What do the U. S. and Britain have in common as fun places to spend the 2020 Olympics?A.They both have a pleasant temperature.B.They are both interested in the Games.CThey both own lots of sports centers. D.They are both English-speaking countries.BLight pollution is a significant but overlooked driver of the rapid decline of insect populations, according to the most comprehensive review of the scientific evidence to date.Artificial light at night can affect every aspect of insects' lives, the researchers said. "We strongly believe artificial light at night — in combination with habitat loss, chemical pollution.invasive (入侵的) species, and climate change — is driving insect declines, " the scientists concluded after assessing more than 150 studies.Insect population collapses have been reported around the world, and the first global scientific review published in February,said widespread declines threatened to cause a "catastrophic collapse of nature's ecosystems".There are thought to be millions of insect species, most still unknown to science, and about half are active at night. Those active in the day may also be disturbed by light at night when they are at rest.The most familiar impact of light pollution is moths (飞蛾) flapping around a bulb, mistaking it for the moon. Some insects use the polarisation of light to find the water they need to breed, as light waves line up after reflecting from a smooth surface. But artificial light can scupper (使泡汤) this. Insects areimportant prey (猎物) for many species, but light pollution can tip the balance in favour of the predator if it traps insects around lights. Such increases in predation risk were likely to cause the rapid extinction of affected species, the researchers said.The researchers said most human-caused threats to insects have analogues in nature, such as climate change and invasive species. But light pollution is particularly hard for insects to deal with.However, unlike other drivers of decline, light pollution is ly easy to prevent. Simply turning off lights that are not needed is the most obvious action, he said, while making lights motion-activated also cuts light pollution. Shading lights so only the area needed is lit up is important. It is the same with avoiding blue-white lights, which interfere with daily rhythms. LED lights also offer hope as they can be easily tuned to avoid harmful colours and flicker rates.4. What is discussed in the passage?A. Causes of declining insect populations.B. Consequences of insect population collapses.C. Light pollution: the key bringer of insect declines.D. Insect declines: the driver of the collapsed ecosystem.5. What is the 5th paragraph mainly about?A. How light travels in space.B. How light helps insects find food.C. How the food chain is interrelated.D. How light pollution affects insects.6. What does the underlined word"analogues"in Paragraph 6probably mean?A. Selective things.B. Similar things.C. Variations.D. Limitations.7. What is the purpose of the last paragraph?A. To offer solutions.B. To give examples.C. To make comparisons.D. To present arguments.CWe interviewed two people, one who went from the country to the city and one who did the opposite.Janet Lincoln is a salesgirl who moved to St. Louisfive years ago. Here’s what Janet told us:“Five years ago I used to live in a small town called Lemon Falls. I grew up and went to high school there. After I graduated I worked in a supermarket. Lemon Falls had a population of about 800 people, and I knew every single one of them. They all knew everything about me, too. You couldn’t do anything without everyone in town knowing about it. The first chance I got I moved to St. Louis and I love it. I don’t know as many people now as I used to, but that’s OK. I have a few good friends, and I see them when I want to. I kind of like beinganonymous. I’d never go back to Lemon Falls.”Troy Henson had the opposite experience. He and his wife, Darla, and their two children moved from St. Louis to Bloomfield three years ago. Here’s what Troy told us:“The best thing we ever did was get out of St. Louis. Don’t get me wrong; St. Louis is as good a place as any other city, I suppose — if you like cities, that is. We don’t. Both Darla and I grew up in St. Louis. We met at college and got married. Then the kids came along and life got difficult. We didn’t know any of our neighbors. We bothhad good jobs, but it always seemed like there was never enough money. That all changed when we moved to Bloomfield. I don’t make as much money as I used to, but then we don’t have as many expenses as we did. We know our neighbors. Life is good. We’d never leave Bloomfield.”8. What troubled Janet when she was in Lemon Falls?A. She had no friends.B. There was no privacy.C. There was a lot of competition.D. She couldn’t find a well-paid job.9. What does the underlined word “anonymous” in Paragraph 3 mean?A. Alone.B. Prepared.C. Sociable.D. Unknown.10. Different from Janet, Troy ________.A. prefers country lifeB. moved to a bigger cityC. grew up in a smaller townD. knows little about his new neighbors11. What is Troy’s opinion on living in Bloomfield?A. It is a little boring.B. It is quite comfortable.C. It costs a lot of money.D. It creates a safe environment.DGuangzhououtbreak linked to strains inIndiaThe gene sequencing of the COVID-19 outbreak inGuangzhou.Guangdongprovince, indicates it is very similar in structure to the mutatedstrains detected inIndia, a senior health official from the city said on Sunday.“And it has the characteristic of quick spread.” Chen Bin, deputy director of the city's health commission, said at a news conference inGuangzhouon Sunday.She urged relevant departments and medical staff to act quickly to block the chain of infection and control the spread of the coronavirus in the southern metropolis.Zhang Zhoubin, deputy director of theGuangzhoucenter for disease control and prevention, said the strain of coronavirus spreads easily.“The virus can be spread through a meal or through a short period of indirect contact,” he said.The city reported five confirmed eases and 21 asymptomatic carriers as of 2 pm Sunday after the first con finned case was detected in the city's Liwan district on May 21, Chen said.To prevent the virus from spreading, the city government tightened its disease control and prevention measures over the weekend. Six communities and housing estates previously designated as low-risk areas were raised to medium-risk ones, Chen said.In addition to asking local residents to get vaccinated, the city has organized nucleic acid testing in Haizhu and Yuexiu districts starting from Sunday. Residents in specific areas of Tianhe, Baiyun and Panyu districts have also been required to take nucleic acid tests to expand the screening of suspected patients and asymptomatic carriers.Liwan previously required all its residents to take nucleic acid tests.As of Saturday, more than 2-25 million residents of the city have had samples collected for nucleic acid tests, Chen said. More than 10,000 medical workers from the entire city have been sent to Liwan to help vaccinate locals against COVID-19 and collect samples for nucleic acid testing.Deng Wenjun, director of circulation section with Guangzhou Supply and Marketing Cooperative, said there are sufficient supplies of food and daily necessities in the medium-risk areas.12. What is the characteristic of the COVID-19 which broke out inGuangzhou?A. It disappears quickly.B. It spreads fast.C. It has a lot to do with temperature.D. It has the same nature as the seasonal flu.13. Which district have residents who have not been required to take nucleic acid tests?A. Tianhe.B. Haizhu.C. Panyu.D. Zengcheng.14. Which of the following statements is TRUE?A. The virus can hardly be spread through a short period of indirect contact.B. There are 21 symptomatic carriers in the Liwan district as of 2 pm Sunday.C. All the people living in Liwan district arc previously asked to take nucleic acid tests.D. Supplies of food and daily necessities in the medium-risk areas arc still not enough.15. Where can you probably find this article?A. On a news website.B. In a fashion magazine.C. In a history book.D. In a travel journal.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

2019-2020学年郑州第四十七中学高三英语月考试卷及参考答案

2019-2020学年郑州第四十七中学高三英语月考试卷及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项AIt’s a tempting habit for them to look at their smartphone rather than make eye contact with someone. There is so much to look at: photographs, social media feeds, messages and emails. No wonder they are glued to their screens. But is it good for them?There have been many claims about the damage looking at screens does to our eyesight. Some people feared staring at a small bright box could make us short-sighted. This is a particular concern for children and young people, who spend a higher percentage of time using electronic devices. BBC reporter, Rory Jones, says, “There is enough evidence that no matter how long teenagers are spending looking at screens, they come across information about issues such as anorexia and self-harm that could prove damaging to their mental health.”But a new study says time in front of computers and phones might not be as bad for young people as many think. Research by the Oxford Internet Institute examined data from more than 17,000 teenagers in theUK,Irelandand theUnited States. Their study concluded that most links between life satisfaction and social media use were tiny, accounting for less than 1% of a teenager’s wellbeing. Professor Przybylski, director of research, said, “99.75% of a person’s life satisfaction has nothing to do with their use of social media.” The research found that family, friends and school life all had a greater impact on wellbeing.So, does this mean young people can spend longer looking at social media? TheOxfordresearchers are confident about its findings and that any connection between screen time and mental health is very small. Dr. Max Davie, officer for health improvement at theRoyalCollege, calls the study a “small first step”, but he says there are other issues to explore, such as screen time’s interference(干预) with other important activities like sleep, exercise and time with family or friends. Perhaps for now, the “right” amount of screen time is only a matter of personal judgement.1. What is people’s common belief concerning screen time?A. Looking at screens does harm to young people.B. Screen time provides a chance for teenagers to learn.C. Most teenagers get near-sighted due to looking at screens.D. A small amount of time online does little harm to teenagers.2. What can we learn from the new study by the Oxford Internet Institute?A. Screen time has a great influence on people’s daily activities.B. The right amount of the screen time is related to its content.C. There is a close link between social media and self-satisfaction.D. Social bonds play a more significant role in people’s wellbeing than social media.3. Where is the passage most probably taken from?A. A science fiction.B. A science magazine.C. A research paper.D. An economics book.BIf there is no difference in general intelligence between boys and girls, what can explain girls’ poor performance in science and math?It hasbeen suggested that girls do not take math courses, not because they are difficult, but for social reasons. Girls do not want to be in open competition with boys because they are afraid to appear less feminine (女性的) and attractive (有魅力的).However, there are still more high-achieving boys than girls when taking math exams. This difference appears to be worldwide. Biological explanations have been offered for this, but there are other explanations too.Perhaps the difference which comes out during the teenage years has its roots in much earlier experiences. From their first days in kindergarten, boys are encouraged to work on their own and to complete tasks. Facts show that outstanding mathematicians and scientists have not had teachers who gave answers.Besides, there can be little doubt that teachers of math and science expect their boy students to do better at these subjects than their girl students. They even appear to encourage the difference between boys and girls. They spend more time with the boy students, giving them more time to answer questions and working harder to get correct answers from them. They are more likely to call on boys for answers and to allow them to take the lead in classroom discussion. They also praise boys more frequently. All of this seems to encourage boys to work harder in science and math and to give them confidence that they are able to succeed.Such a way of teaching is not likely to encourage girls to take many math and science courses, nor is it likely to support girls who do. When it comes to these subjects it seems certain that school widens the difference between boys and girls.4. Why does the author raise a question in paragraph 1?A. To find differences between boys and girls.B. To explain the poor performance of girls.C. To ask readers a question.D. To introduce the topic.5. The text mainly discusses ________ reasons for the difference between boys and girls in scientific achievements.A. biologicalB. personalC. socialD. historical6. What does the text say about great mathematicians?A. Their teachers did not offer answers to them.B. They started learning math at an earlier age.C. They showed mathematical abilities in their teenage years.D. Their success resulted from their strong interest in math.7. The author would probably agree that ________.A. boys and girls learn in the same wayB. boys and girls are equal in general intelligenceC. girls are more confident in themselves than beforeD. girls should take fewer science courses than boysC"Long time no see." is a very interesting sentence. When I first read this sentence from an American friend's e-mail, I laughed. I thought it was a perfect example of Chinglish.Obviously, it is a word-by-word literal translation of the Chinese greeting with wrong English grammar and structure! Later on, my friend told me that it is a standard American greeting. I was too surprised to believe her. Her words were unbelievable at all. So I did research onGoogle. com. To my surprise, there are over 60 thousand web pages containing "Long time no see." Though it is sort of informal, it is part of the language that Americans use daily. Interestingly, if you type this phrase in Microsoft Word, the software will tell you that the grammar needs to be corrected.Nobody knows the origin of this Chinglish sentence. Some people believe that it came from Charlie Chan's movies. In the 1930s, Hollywood moviemakers successfully created a worldwide famous Chinese detective named "Charlie Chan" on wide screens. Detective Chan liked to teach Americans some Chinese wisdom by quoting Confucius. "Long time no see." was his symbol. Soon after Charlie Chan, "Long time no see." became a popular expression in America thanks to the popularity of these movies.Some scholars compare America to a hugemelting pot. All kinds of cultures are mixed in the pot together, and they change the colour and taste of each other. Language is usually the first thing to be influenced in the mixed pot.You can have some examples from other countries such as pizza from Italian, sushi from Japanese, and déjà vu from French etc. There is a long list! Since Americans admire Chinese culture more and more nowadays, I believe more Chinese words will become American English in the future. In this way, the American's melting pot keeps adding richness and flavour.8. What did the writer himself feel surprised at?A. The Chinglish expression "Long time no see."B. So many literal translations of the expressions used in America.C. "Long time no see." is used as a standard American English greeting.D. Finding out Americans use the expression every day.9. What do the underlined words "melting pot" in Paragraph 4 probably mean?A. Confucius's words.B. Culture mixture.C. A kind of cooked dish.D. American changing cultures.10. According to the passage, what can be inferred?A. Detectives translated the phrase "Long time no see."B. Cultures cannot be changed in the huge melting pot.C. The huge melting pot greatly affects all kinds of languages.D. Hollywood made "Long time no see." popular.11. What is the main idea of the passage?A. Some Chinese expressions are introduced into English.B. You'll not be surprised at a tofu and peanut butter hamburger in a restaurant in America.C. Some American expressions can be used in China.D. American English keeps being enriched by different cultures.DBill Gates on how to fight future pandemicsWHEN HISTORIANS write the book on the covid-19 pandemic, what we've lived through so far will probably take up only the first third or so.The bulk of the story will be what happens next.I believe that humanity will beat this pandemic, but only when most of the population is vaccinated(接种疫苗）.Until then, life will not return to normal.As the pandemic slows in developed nations,itwill accelerate in developing ones.Their experience,however,will be worse.In poorer countries,where fewer jobs can be done remotely,distancing measures won't work as well.The virus will spread quickly,and health systems won't be able to care for the infected.Wealthy nations can help.But people in rich and poor places alike will be safe only once we have an effective medical solution for this virus,which means a vaccine.My hope is that,by the second half of 2021,facilities around the world will be manufacturing a vaccine.If that's the case,it will be a history-making achievement: the fastest humankind has ever gone from recognizing a new disease to immunizing（免疫）against it.Apart from this progress in vaccines,two other big medical breakthroughs will emerge from the pandemic.One will be in the field of diagnostics.The next time a novel virus crops up,people will probably be able to test for it at home.Researchers could have such a test ready within a few months of identifying a new disease.The third breakthrough will be in antiviral drugs.We haven't been as effective at developing drugs to fight viruses as we have those to fight bacteria.But that will Researchers will develop large diverse libraries of antivirals,which they'll be able to scan trough and quickly find effective treatments for novel viruses.All three technologies will prepare us for the next pandemic by allowing us to intervene(干预）early when the number of cases is still very low.Our progress won't be in science alone.It will also be in our ability to make sure everyone benefits from that science.In the years after 2021,I think we'll learn from the years after 1945. With the end of the Second World War, leaders built international institutions like the UN to prevent more conflicts.After covid-19, leaders will prepare institutions to prevent the next pandemic.These will be a mix of national,regional and global organizations.I expect they will participate in regular"germ games”in the same way as armed forces take part in War games.These will keep us ready for the next time a novel virus jumps from bats or birds to humans.I hope wealthy nations include poorer ones in these preparations,especially by devoting more foreign aid to building up their primary health-care systems.This pandemic has shown us that viruses don't obey border laws and that we are all connected biologically by a network of microscopic germs,whether we like it or not.The best analogy(类比）for today might be November 10th 1942.Britainhad just won its first land victory of the war,and Winston Churchill declared in a speech: “This is not the end.It is not even the beginning of theend.But it is,perhaps,the end of the beginning.”12. What are the three technologies that will prepare us for the next pandemic?①manufacturing a vaccine fast②diagnosing a virus at home③developing antiviral drugs④allowing us to intervene earlyA. ①②③B. ①②④C. ①③④D. ②③④13. As far as poorer countries areconcerned,which of the following is TRUE according to this passage?A. pandemic disease is more likely to begin in poorer countriesB. Working from home can work well in poorer countries.C. Health systems are sufficient to care for the infected in poorer countries.D. Virus will cross borders if poorer countries fail to contain it.14. Why is the Second World War mentioned in Para.8?A. The fight against the COVID-19 is similar to the Second World War.B. People are suffering just as they were in the Second World War.C. We should cooperate globally just as we did after the Second World War.D. Countries are fighting each other like in the Second World War.15. What is the tone of this passage?A. pessimisticB. optimisticC. neutralD. indifferent第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

第12章 概率与统计

第12章 概率与统计题组一一、选择题1．（北京四中2011届高三上学期开学测试理科试题）已知随机变量服从正态分布，，则（ ） A ． B ．C ．D.答案 D.2．（北京四中2011届高三上学期开学测试理科试题）一组抛物线，其中为2,4,6,8中任取的一个数，为1,3,5,7中任取的一个数，从这些抛物线中任意抽取两条，它们在与直线交点处的切线相互平行的概率是（ ） A ． B ．C ．D ．答案 B.3. （湖南省长沙市第一中学2011届高三第五次月考理）形如45132这样的数称为“波浪数”，即十位数字，千位数字均比它们各自相邻的数字大，则由1、2、3、4、5可构成的数字不重复的五位“波浪数”的概率为( )A.16B.320C.11120D.215 答案 D.解：当十位与千位是4或5时，共有波浪数为A 22A 33＝12个.当千位是5，十位是3时，万位只能是4，此时共有2个波浪数.当千位是3，十位是5时，末位只能是4.此时共有2个波浪数.故所求概率P ＝12＋2＋2A 55＝215. 4．（浙江省嘉兴一中2011届高三12月月考题文）国庆阅兵中，某兵种A ，B ，C 三个方阵按一定次序通过主席台，若先后顺序是随机排定的，则B 先于A ，C 通过的概率为61)(A 31)(B 21)(c 32)(D （ ）答案 B.5．（浙江省温州市啸秋中学2010学年第一学期高三会考模拟试卷）抛掷两个骰子,则两个骰子点数之和大于4的概率为A．1318B．89C．712D．56答案 D.6．（浙江省温州市啸秋中学2010学年第一学期高三会考模拟试卷）某人射击一次击中的概率为35，经过3次射击，此人至少有两次击中目标的概率为A．81125B．54125C．36125D．27125答案A.二、填空题7.（河南省郑州市四十七中2011届高三第三次月考文）200辆汽车经过某一雷达地区，时速频率分布直方图如图所示，则时速超过60 km/h的汽车数量为_____ __ _。

2020-2021学年郑州市第四十七中学高三英语月考试卷及答案

2020-2021学年郑州市第四十七中学高三英语月考试卷及答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项ATry one of these amazing destinations on your next vacation.MallorcaOn the popular Spanish island of Mallorca, farmhouse inns focus more on providing isolation and quietness than offering hands-on farming experiences. With millions of visitors staying on the beaches of Mallorca and the other Balearic Islands each summer, a little bit of isolation is a good thing for aloneness-seeking travelers. Mainly located in the hills of inland Mallorca, these inns range from rustic century-old farmhouses to luxury(奢侈的) villas with spas and swimming pools.HawaiiPeople who don't want to dig out their passport but still want their farm adventure can head to the island of Hawaii. The 50th state talks much about the well-developed farm tourism industry that can hold people with different interests. Agritourism choices range from visiting coffee plantations(种植园) in the Big Island's Kona region to exploring the plantations on Maui to staying on farms on the easily reachable island of Oahu. CaliforniaCalifornia is one ofthe best places in the U. S. to enjoy a farm-stay, thanks to the diversity of crops and farms. Small family farms and large farms offer a more hands-on approach to agritourism. Many of them teach small-scale farming techniques and even offer strategies for organic growing. The University of California system, one of the largest state-run higher education systems in the U.S., has a small-farm program that helps growers create agritourism businesses.Philippine IslandsWith diverse conditions on different islands, the Philippine Islands are ideal places for visiting multiple agritourism sites or focusing on one product. Tourists can visit a huge pineapple plantation for a taste of large-scale agriculture, or they could focus on smaller operations such as bee farms, and even small plantations that specialize in growing tropical produce such as dragon fruit.1. What kind of people will choose to go to Mallorca?A. Those who prefer peace of mind.B. Those who like lying on the beach.C. Those who enjoy the luxury of tourism.D. Those who want to experience farming.2. What can people do on the Philippine Islands?A. Live in farmhouses.B. Visit plantations.C. Learn farming techniques.D Take part in a farm program.3. What are the four places in the text famous for?A. Locations.B. Environments.C. Local products.D. Tourism features.BOne billion people in the world are short of water. How can this problem be solved. Some suggestions have been to desalinate ocean water or to build enormous water pipelines from areas where water is abundant. (Suggestions such as these prove extremely expensive when they are actually used.) One possibility that scientists are considering is pulling icebergs from either the North Pole or the South Pole to parts of the world with a water shortage. Although many questions must be answered before such a project could be tried, moving icebergs seems a reasonable possibility in the future.Engineers, mathematicians, and glaciologists from a dozen countries have been considering the iceberg as a future source of water. Saudi Arabia is particularly interested in this project because it has a great water shortage. Scientists estimate that it would take 128 days to transport a large iceberg (about 1/2 square mile) to Saudi Arabia. Yet the iceberg would be completely melted by the 104th day. Therefore, insulation would be essential, but how to insulate the iceberg remains an unsolved problem.The problems in transporting an iceberg are numerous. The first problem is choosing the iceberg to pull. The icebergs that form in the North Pole are quite difficult to handle because of their shape. Only a small portion extends above the water — most of the iceberg is below the surface, which would make it difficult to pull. South Pole icebergs, on the other hand, are flat and float like table tops. Thus they would be much easier to move.How can a 200-million-ton iceberg be moved. No ship is strong enough to pull such enormous weight throughthe water. Perhaps several ships could be used. Attaching ropes to an iceberg this size is also an enormous problem. Engineers think that large nails or long metal rods could be driven into the ice. What would happen if the iceberg splits into several pieces during the pulling. Even if an iceberg with very few cracks were chosen, how could it be pulled through stormy waters. Furthermore, once the iceberg reached its destination, very few ports would be deep enough to store it.All of these problems must be solved before icebergs can become a reasonable source of water. Yet scientists estimate that it will be possible to transport them in the near future. Each year, enough icebergs form to supply the whole world with fresh water for a full year. In addition, icebergs are free and nonpolluting. As a solution to the world’s water problems, icebergs may be a workable possibility.4. What is a problem in transporting iceberg?A. The size of the iceberg.B. The colour of the iceberg.C. The salt in the iceberg.D. The movement of air and water.5. What is the author’ attitude towards transporting iceberg?A. Pessimistic.B. Objective.C. Optimistic.D. Unconcerned.6. What does the last paragraph mainly tell us?A. It is hard to use iceberg.B. Iceberg are a good choice.C. There are problems with iceberg.D. Man finds no other ways to solve water shortage.7. What can be a suitable title for the text?A. Shortage of water.B. Icebergs for water.C. Scientists and icebergs.D. Iceberg—scientists headache.CSleep problems in early childhood may be linked to the development of certain mental health disorders in adolescence, according to a new research.A study of 7,155 children in theUnited Kingdomfound that waking up frequently during the night and irregular sleep routines as babies and toddlers was linked to psychotic experiences in children aged 12 and 13. Also, children who slept for shorter periods at night were more likely to be associated with borderline personality disorder at ages 11 and 12.The research, published in the journalJAMA Psychiatry, was the first time possible links between early childhood sleep problems and adolescent psychotic experiences and borderline personality disorder (BPD) symptoms have been examined.“We know from previous research that persistent nightmares in children have been associated with both psychosis and borderline personality disorder,” said lead author Isabel at theInstituteofMental Healthat theUniversityofBirmingham.“But nightmares don’t tell the whole story. We’ve found that, in fact, a number of behavioral sleep problems in childhood can point towards these problems in adolescence,” she said.Adolescence, typically defined as the ages between 10 and 19, is a key period in human development because of brain and hormonal changes, anditis now thought to be when many mental health problems start.Prior research inAustraliafound that babies with persistent severe sleep problems in their first year were at greater risk for anxiety and emotional issues in later childhood. Sleep problems in children and adolescents have been shown to predict the development of various emotional and behavioral problems, including depression, anxiety, attention-deficit hyperactivity disorder, risk-taking and aggression. However, findings have been inconsistent, especially when based on objective measurements of sleep, rather than parental reports.Sleep and mental health are closely connected in adults, with sleep problems increasing the risk for developing particular mental illnesses as well as resulting in mental health issues.8. What can we know from paragraph 3?A. Childhood sleep problems probably cause youth mental health problems.B. Severe sleep problems in childhood lead to emotional issues.C. Persistent nightmares in children are closely related to psychosis.D. The research has not been known to the public.9. What does “it” refer to in paragraph 6?A. Adolescence.B. Key period.C. Human developmentD. Hormonal change.10. According to the Australian research, older children who had long-term serious sleep issues at one year old are more likely to ________.A. grow slowlyB. develop attention-deficit hyperactivity disorderC. do badly in lessonsD. suffer from anxiety11. Which of the following can be the best title for the text?A. A Study About Childhood Sleep Problems Is Under ProgressB. Pay Attention to Children Who Lack SleepC. Childhood Sleep Issues Linked to Adolescent Mental Health ProblemsD. How to Help Children Develop a Good Sleep HabitDImagine that youare a superhero. Your superpowers are activated by a special suit. The suit communicates with your brain. It allows you to do amazing things with only a thought. By concentrating on strength, for example, you can kick a soccer ball across a field. By focusing on swift actions, you can jump to the top of a tree.Such a connection between mind and machine may sound like a fantasy. To scientists, though, it is a very real goal. They are creating machines that let disabled monkeys walk. These machines may soon help disabled humans do the same. Unlike other bionic devices, these robotic “super suits” do not communicate with muscles and nerves. Instead, they have a direct line to the brain.In 2005, doctors drilled a hole in the skull of Hutchinson, who had lost her right arm in an accident. Then they inserted a sensor onto her motor cortex (大脑皮层运动区). Wires connected the sensor to a receiver on her head. After she recovered, researchers pluggedHutchinson’s receiver into a cable that relayed signals from her brain to computers. Then they connected a robotic arm to the computers. The computerscould interpretHutchinson’s brain signals to move the arm.Soon,Hutchinson, the computer, and the robotic arm became a team.Hutchinsonwas even able to lift her hand and drink from a cup. “She smiled when she put down that drink—that’s everything.” says Donoghue, a brain scientist.Today other scientists are building on that success. One of those scientists is Dr. Miguel Nicolelis, who designed a whole-body bionic equipment. In 2014, a disabled former athlete kicked the first ball of the World Cup Games wearing one of Miguel’s full-body exoskeletons.The exoskeleton was connected to brain signal sensors in the man’s cap. By thinking about kicking, he sent signals to a computer on his back. The computer then translated the signal into an exoskeleton-aided kick. Such designs may become common as scientists keep merging mind and machine.12.Which can best describe the tone of paragraph 1?A. Narrative and serious.B. Persuasive and critical.C. Informative and objective.D. Descriptive and imaginative.13. What is paragraph 3 mainly about?A. Reason of the experiment.B. Results of the experiment.C. Process of the experiment.D. Significance of the experiment.14. Why is Dr. Miguel’s exoskeleton special?A. It can be used on animals.B. It can move the whole body.C. It was supported by computers.D. It was connected directly to the brain.15. What can be inferred from the last paragraph?A. Robotic suits may be widely used to help disabled people.B. Exoskeleton is more common thanHutchinson’s bionic arm.C.Scientific experiments are commonly carried out in football fields.D. Disabled athletes can now play football again with the help of computer.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

河南省郑州市第四十七中学高三地理10月月考试题(含解析)

马拉开波湖，水深平均达20多米，该湖有美洲聚宝盆的美誉，渔业资源丰富，同时有石油湖之称。为开采石油，湖底遍布石油管线，50多年前人们开始将连接外海的水道拓宽，挖深，并定期清淤，以便大吨位的货轮和油轮驶入湖区装载石油及产品。20世纪90年代中国石油与当地政府合作，开始在马拉开波湖开采石油。
（1）简要分析马拉开波湖渔业资源丰富的自然原因。
【3题详解】
本题考查区域气候类型的特点以及读图分析能力。据图可知，亚历山大港地处地中海沿岸，属于地中海气候。据上题分析可知，该季节为北半球冬季，地中海气候冬季受西风带影响，温和多雨。故选D。
读某区域图，回答下列各题：
4. 图中河流
A. 以雨水补给为主 B. 1月径流量最大 C. 径流量季年际变化大 D. 下游径流量最大
5. 图示区域铜矿资源丰富，其原因主要是
A. 位于板块边界，岩浆活动频换 B. 气候干旱，风力强盛
C. 地势起伏大，流水侵蚀作用强 D. 山脉高大，冰川作用强
【答案】4. B 5. A
【解析】
【4题详解】
A、根据经纬度，该区域位于南美洲秘鲁。位于东南信风背风一侧，并受沿岸寒流影响，降水稀少，冰雪融水为该地区河流的主要补给水源。A错误。
故选：D。
下图为某区域图，图中右侧分别表示乙河流局部河谷剖面示意图和Q湖不同季节的蓄水面积分布图，读图回答下列各题。
8. 关于该图的说法，正确的是（）
A. 位于北半球
B. 图中河谷横剖面从中心向两侧岩石年龄不断变老
C.Q湖北侧深度变化大于南部
D. 沿岸大部分地段海域有暖流经过
9. 关于甲河流域的说法，正确的是（）
（2）试分析图示地区吸引中国石油开采石油的优势条件。
（3）对于该湖区未来经济发展，有人主张在湖区继续开采石油，发展石化工业，也有人主张应该取缔石油开采及相关产业而发展渔业。你支持哪种观点？请说明理由。
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河南郑州市第四十七中学高三第三次月考 高三 2010-12-14 19:11

郑州市第四十七中学高三第三次月考 语文试题 说明：1.时间：150分钟，满分：150分

第Ⅰ卷 阅读题 甲 必考题 一、现代文阅读。（每小题3分，共9分） 围棋、象棋与中国传统文化 在中国的 棋林之中，影响最为深远者当属围棋和象棋。俗语有云：棋局小世界，世界大棋局。作为典型的中国文化载体，二者以棋盘和棋子折 射出中国传统社会的缩影。相通之处在于棋盘都是阡陌纵横，呈格状分布；棋子以颜色不同构成两方以对垒拼杀。但再加考察，则大有区别。

先说围棋。围棋棋子除按颜色区别为黑白二方之外，所有棋子在功能上无任何区别，性能相同，地位相等。其胜负的标志就是所占地盘之大小。而欲想占领地盘，就必须至少有两口各自独立的“气眼”。“气眼”就是自己的活动空间，对方不得侵入，象征着中国古代的城池。要想生存发展，就必须拥有根据地；而要有根据地，就必须有回旋的空间。这与我国传统农业社会的思维方式如出一辙：想要保有地盘，就要使地盘联成一片；要想地盘不失，就必须以所有城池作为依托。孤立棋子“人”单势薄，作用有限，极易被吃，但联合在一起则所向披靡，势不可挡。群体力量大于个体，占得空间则取得胜利，体现的是人类早期的追求目标和较为平等的价值观念。

象棋则不然。它将棋子分为将、士、象、马、车、炮、兵等七种。胜负只取决于将帅之存亡。只要将帅仍存，全军覆没亦不为输；而将帅若遭不测(被将死)，未失一子亦算失败。车可横冲直撞，所向披靡；马可腾越出击，纵横驰骋；炮可隔子发威，火力凶猛；士、象拱卫城池，以身护帅；兵、卒则亦步亦趋，只进不退。就本领与杀伤力而言，将帅属于最为无能之辈，不仅行动迟缓，杀伤力差，且不能越孤城半步，却要所有棋子拼死护卫。其余各子等级森严，贵贱分明。车乃棋中至宝，万不可轻弃。马、炮地位大抵相等，开局时炮似乎稍胜于马，而残局中则马胜于炮。最为惨烈者当属兵卒，数量众多，因而弃之不惜；本领有限，因而作用不彰；只许前进，不能后退，因而前景黯然，结局惨烈；拱到底则成“老卒”，几同无用。这是等级社会最为生动、最为集中的具体体现，是中国封建社会的典型和缩影。

围棋早于象棋。《博物志》云：“尧造围棋，丹朱善棋。”虽不可信，但产生于严格的等级制度形成之前，应无异议。其各子平等，机遇相同的构思设计，就是中华先秦文化中“民本思想”的具体体现。而象棋各子之间与生俱来．无从更改身份差异和为保统帅而不惜耗尽生灵的僵化理念，是秦代以后专制制度的最佳诠释，加上“楚河、汉界”作为佐证，其生辰八字则大抵可定矣。

弈围棋者主观能动性大，自主性强。不必为保全先行设定之统帅而煞费苦心，只需以全局形势为依据进行判断。象棋弈者必须经受折马损炮甚至丢掉爱车的痛苦，而只是为了那位无能 的统帅存活。将一人存亡凌驾于群体安危之上，甚至要牵制作为局外人身份的弈者，这种游戏规则乃中国传统社会结构和规则的缩影，是典型的中国专制思维的折射。

从游戏法则角度看，围棋是在用加法，开始时空无一人，好生寂寞，而随着双方落子，棋子越来越多，最终往往拥挤不堪，几无落脚之处；而象棋则用减法，开始时战阵严整，兵将齐全，而随着双方厮杀，棋子越来越少，到残局时诸子凋零殆尽，一片狼藉，最后往往仅剩孤家寡人，困守老城。真是两种感受，两种意境。

围棋和象棋反映出中国文化在不同角度、不同阶段逐渐形成的两种不同的思维方式和价值观念。围棋的存在表明中华文化体系中存在着民主的精神、平等的理念。考虑到中国古代的爱国情操向以忠君行动来体现，象棋所表现出来的便可视为先人为保江山社稷而不惜一切代价的群体理念和誓死如归、杀身成仁的牺牲精神。这两种精神和理念相辅相成，共同支撑着中华民族的精神大厦。

（选自《阅读与作文》2008年第七期，有删改） 1．下列有关“象棋”的说 法，不正确的一项是( ) A．象棋的胜负只取决于将帅的存亡。只要将帅仍存，全军覆没亦不为输；下象棋的首要任务就是将死对方的将帅。

B．在象棋中，将帅行动迟缓，杀伤力差，最为无能；车乃棋中至宝，地位最高，本领最大，万不可轻弃。

C．本领有限，作用不彰，前景黯然，结局惨烈的当属兵卒，是等级社会中处于最底层的生动具体的体现。 D．下象棋要经受折马损炮甚至丢掉爱车的痛苦，一切只为保老帅，这种游戏规则是典型的中国专制思维的折射。

2．下列表述完全符合原文意思的一项是( ) A．围棋中孤立棋子“人”单势薄，作用有限，极易被吃，但联合在一起则所向披靡，势不可挡，体现出人类的终极目标和平等价值观念。

B．象棋中马、炮地位相等，开局时炮胜于马，而残局中则马胜于炮。马可纵横驰骋；炮可隔子发威，二者各具威力。

C．弈围棋者主观能动性大，自主性强，以全局形势为依据进行判断胜负。而下象棋只考虑统帅的存活，受限制多，没有主观能动性。

D．围棋和象棋的思维方式和价值观念虽不同，但围棋体现的平等理念、民主精神与象棋体现的群体理念和牺牲精神相辅相成，共同支撑着中华民族的精神大厦。

3．根据原文提供的信息，下列推断正确的一项是( ) A． 围棋必须要有自己的根据地，要有一个气眼，否则没有回旋的空间。因而下围棋就是要多造气眼多占地盘，地盘多者为胜。

B．围棋的产生比象棋早很多，在尧的时代就产生了围棋，而象棋则是在秦以后才出现，“楚河、汉界”可以佐证，围棋更能体现中国早期文化的特征。

C．从棋子地位来看，围棋各子平等，机遇相同，体现中华先秦文化中“民本思想”。象棋各子地位不同，本领不同，体现出中国封建专制思想。二者的价值观念不一样。

D．下围棋就如用加法，棋子下得越多越好，最后要填满全部棋盘，不留一空；而象棋则用减法，棋子不断减少，直到将死对方为止，因而吃对方的子越多越好。

二．古诗文阅读 （一）文言文阅读（共19分） 阅读下面的文言文，完成4～7题。 杜诗，字君公，河内汲人也。少有才能，仕郡功曹，有公平称。更使时，辟大司马府。建武元年，岁中三迁为侍御史，安集洛阳。时将军萧广放纵士兵，暴横民间，百姓惶扰，诗敕晓不改，遂格杀广，还以状闻。世祖召见，赐以棨戟，复使之河东，诛降逆贼杨异等。诗到大阳，闻贼规欲北渡，乃于长史急焚其船，部勒郡兵，将突骑趁击，斩异等，贼遂翦灭。再迁为沛郡都尉，转汝南都尉，所在称治。 七年，迁南阳太守。性节俭而政治清平，以诛暴立威，善于计略，省爱民役。造作水排，铸为农器，用力少，见功多，百姓便之。又修治陂池，广拓土田，郡内比室殷足。时人方于召信臣，故南阳为之语曰：“前有召父，后有杜母。”

诗自以无劳，不安久居大郡，求欲降避功臣，乃上疏。帝惜其能，遂不许之。 诗雅好推贤，数进知名士清河刘统及鲁阳长董崇等。初，禁网尚简，但以玺书发兵，未有虎符之信，诗上书曰：“臣闻兵者国之凶器，圣人所慎。旧制发兵，皆以虎符，其余征调，竹使而已。府符合会，取为大信，所以明著国令，敛持威重也。间者发兵，但用玺书，或以诏令；如有奸人诈伪，无由知觉。愚以为军旅尚兴，贼虏未殄，征兵郡国，宜有重慎，可立虎符，以绝奸端。昔魏公子，威 倾邻国，犹假兵府以解赵围，若无如姬之仇，则其功不显。事有烦而不可省，费而不得已；盖谓此也。”书奏，从之。

诗身虽在外，尽心朝廷，谠言善策，随事献纳。视事七年，正化大行。十四年，坐遣客为弟报仇被征，会病卒。司隶校尉鲍永上书言诗贫困无田宅，丧无所归。诏使治丧郡邸，赙绢千匹。

——选自《后汉书·杜诗传》 4．对下列句子中加点词的解释，不正确的一项是 A．诛降逆贼杨异等 降：使„„投降 B．闻贼规欲北度 规：谋划 C．诗雅好推贤，数进知名士清河刘统及鲁阳长董崇等 雅：儒雅 D．视事七年，正化大行 视事:任职 5．下列句均能表现杜诗尽心朝廷，直方善策的一项是（ ） (1)遂格杀广，还以状闻 (2)诗雅好推贤 (3)善于计略，省爱民役 (4)十四年，坐遣客为弟报仇被征

(5)帝惜其能，遂不许之 (6)求欲降避功臣，乃上疏 A．(1)(2)(3) B．(4)(5)(6) C．(2)(3)(4) D．(1)(3)(6) 6．下列叙述不符合原文意思的一项是（ ） A．杜诗抵达大阳，听说贼人企图北渡，于是与长史迅速烧毁船只，部署军队，带领冲锋陷阵的骑兵，消灭了敌人。 B．当时萧广放纵士兵不法，百姓惶恐不安。杜诗立即向萧广晓喻利害，但他仍旧我行我素，于是杜诗上报朝廷而击杀了萧广。

C．任南阳太守期间，杜诗生活节 俭，廉洁公正，诛杀强暴，树立威信，并且还擅长计划 谋略，爱惜民力，为民造福，因而百姓热情地讴歌他。

D．杜诗虽身为地方官，但一心为朝廷着想，忠直的言论、好的建议都随时上奏。

7．把文言文中划线的句子翻译出来。 （1）诗自以无劳，不安久居大郡，求欲降避功臣

（2）坐遣客为弟报仇被征，会病卒

（二）古代诗歌阅读（11分） 阅读下面这首宋词，完成8～9题。 相 见 欢 朱敦儒① 金陵城上西楼，倚清秋。万里夕阳垂地大江流。 中原乱，簪缨散，几时收？试倩悲风吹泪过扬州②。

【注】①朱敦儒，洛阳人，南宋词人。本词写于词人因“靖康之难”南逃客居金陵之时。

②扬州：当时为抗金前线。 8．上片中“万里夕阳垂地大江流”一句描绘了怎样的景象?在全词中有什么作用？（5分）

答： 9．“中原乱，簪缨散，几时收”一句中“簪缨”用了什么修辞手法？指什么？此句抒发了作者什么样的思想感情？（5分）

答：

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