2015年武汉外国语学校高中招生资格综合能力测试题(附答案)
2015-2016武汉外国语学校参考答案(理科) -
2015-2016学年湖北省武汉外国语学校高二（上）期中数学试卷（理科解析）参考答案与试题解析一、选择题（每题5分，共12题）1．（5分）抛物线y=4x2的焦点坐标是（）A．（0，1）B．（1，0） C．D．【解答】解：抛物线y=4x2的标准方程为x2=y，p=，开口向上，焦点在y 轴的正半轴上，故焦点坐标为（0，），故选：C．2．（5分）圆C1：（x﹣m）2+（y+2）2=9与圆C2：（x+1）2+（y﹣m）2=4内切，则m的值（）A．﹣2 B．﹣1 C．﹣2或﹣1 D．2或1【解答】解：由题意可得，两个圆的圆心分别为（m，﹣2）、（﹣1，m），半径分别为3、2，根据两个圆相内切，可得两个圆的圆心距等于它们的把半径之差，即=3﹣2，求得m=﹣2，或m=﹣1，故选：C．3．（5分）已知F1、F2为双曲线C：x2﹣y2=1的左、右焦点，点P在C上，∠F1PF2=60°，则|PF1|•|PF2|=（）A．2 B．4 C．6 D．8【解答】解：法1．由双曲线方程得a=1，b=1，c=，由余弦定理得cos∠F1PF2=∴|PF1|•|PF2|=4．法2；由焦点三角形面积公式得：∴|PF1|•|PF2|=4；故选：B．4．（5分）下列四个命题：①“若x≠1或y≠1，则xy≠1”的逆命题；②“相似三角形的周长相等”的否命题；③“若关于x的方程x2﹣2bx+b2+b=0无实根，则b＞﹣1”的逆否命题；④“若A∪B=B，则A⊇B”的逆否命题，其中真命题的个数为（）A．0 B．1 C．2 D．3【解答】解：①“若x≠1或y≠1，则xy≠1”的否命题为，若x=1且y=1，则xy=1为真命题，则命题的逆命题也为真命题；②“相似三角形的周长相等”的逆命题为，周长相等的三角形相似，为假命题，则命题的否命题为假命题；③“若关于x的方程x2﹣2bx+b2+b=0无实根，则△=4b2﹣4（b2+b）＜0，即﹣4b＜0，则b＞0，则b＞﹣1成立，即原命题为真命题，则命题的逆否命题为真命题；④“若A∪B=B，则A⊆B”，故原命题为假命题，则命题的逆否命题为假命题，故真命题的是①③，故选：C．5．（5分）设椭圆C：+=1（a＞b＞0）的左右焦点分别为F1，F2，过F2作x轴的垂线与C相交于A，B两点，F1B与y轴相交于点D．若AD⊥F1B，则椭圆C的离心率等于（）A．B．C．D．【解答】解：不妨假设椭圆中的a=1，则F1（﹣c，0），F2（c，0），当x=c时，由+=1得y==b2，即A（c，b2），B（c，﹣b2），设D（0，m），∵F1，D，B三点共线，∴=，解得m=﹣，即D（0，﹣），∴若AD⊥F1B，则k AD•k F1B=﹣1，即=﹣1，即3b4=4c2，则b2=2c=（1﹣c2）=2c，即c2+2c﹣=0，解得c==，则c==，∵a=1，∴离心率e==，故选：B．6．（5分）在如图所示的空间直角坐标系O﹣xyz中，一个四面体的顶点坐标分别为（0，0，2），（2，2，0），（1，2，1），（2，2，2），给出的编号为①，②，③，④的四个图，则该四面体的正视图和俯视图分别为（）A．①和②B．③和①C．④和③D．④和②【解答】解：在坐标系中，标出已知的四个点，根据三视图的画图规则，可得三棱锥的正视图和俯视图分别为④②，故选：D．7．（5分）过点（2，0）引直线l与曲线相交于A，B两点，O为坐标原点，当△AOB的面积取最大值时，直线l的斜率等于（）A．B．C．D．【解答】解：当△AOB面积取最大值时，OA⊥OB，∵曲线相交于A，B 两点，O为坐标原点，∴圆心O（0，0），半径r=，∴OA=OB=，AB=2，∴圆心O（0，0）到直线直线l的距离为1，当直线l的斜率不存在时，直线l的方程为x=2，不合题意；当直线l的斜率存在时，直线l的方程为y=k（x﹣2），圆心（0，0）到直线l的距离d==1，解得k=±，∵k＜0，∴k=﹣．故选：D．8．（5分）设a，b∈R，则“a＞b”是“a|a|＞b|b|”的（）A．充分不必要条件 B．必要不充分条件C．充要条件D．既不充分又不必要条件【解答】解：若a＞b，①a＞b≥0，不等式a|a|＞b|b|等价为a•a＞b•b，此时成立．②0＞a＞b，不等式a|a|＞b|b|等价为﹣a•a＞﹣b•b，即a2＜b2，此时成立．③a≥0＞b，不等式a|a|＞b|b|等价为a•a＞﹣b•b，即a2＞﹣b2，此时成立，即充分性成立．若a|a|＞b|b|，①当a＞0，b＞0时，a|a|＞b|b|去掉绝对值得，（a﹣b）（a+b）＞0，因为a+b＞0，所以a﹣b＞0，即a＞b．②当a＞0，b＜0时，a＞b．③当a＜0，b＜0时，a|a|＞b|b|去掉绝对值得，（a﹣b）（a+b）＜0，因为a+b＜0，所以a﹣b＞0，即a＞b．即必要性成立，综上“a＞b”是“a|a|＞b|b|”的充要条件，故选：C．9．（5分）已知双曲线=1（a＞0，b＞0）的左、右焦点分别为F1，F2，P为双曲线上任一点，且•最小值的取值范围是，则该双曲线的离心率的取值范围为（）A．B．C．（1，）D．[2，+∞）【解答】解：设P（m，n），则﹣=1，即有m2=a2（1+），又设F1（﹣c，0），F2（c，0），即有=（﹣m﹣c，﹣n），=（c﹣m，﹣n），则•=n2+m2﹣c2=n2+a2（1+）﹣c2=n2（1+）+a2﹣c2≥a2﹣c2．（当n=0时取得等号）．则有•最小值为a2﹣c2．由题意可得﹣c2≤a2﹣c2≤﹣c2，即有c2≤a2≤c2，即c，则有．故选：B．10．（5分）如图，一个底面半径为R的圆柱被与其底面所成角为θ（0°＜θ＜90°）的平面所截，截面是一个椭圆．当θ为30°时，这个椭圆的离心率为（）A．B．C．D．【解答】解：因为底面半径为R的圆柱被与底面成30°的平面所截，其截口是一个椭圆，则这个椭圆的短半轴为：R，长半轴为：=，∵a2=b2+c2，∴c=，∴椭圆的离心率为：e==．故选：A．11．（5分）已知A（x1，y1），B（x2，y2）是抛物线y2=x上相异的两点，且在x 轴同侧，点C（1，0）．若直线AC，BC的斜率互为相反数，则y1y2等于（）A．1 B．2 C．3 D．4【解答】解：由题意可得，y12=x1，y22=x2，k AC=，k BC=，若直线AC，BC的斜率互为相反数，则k AC+k BC=0，∴+=0，整理得（y1y2﹣1）（y1+y2）=0，由于y1y2＞0，即y1y2=1．故选：A．12．（5分）在正四面体ABCD中，平面ABC内动点P满足其到平面BCD距离与到A点距离相等，则动点P的轨迹是（）A．圆B．椭圆C．双曲线D．抛物线【解答】解：设二面角A﹣BC﹣D的平面角为θ，点P到平面BCD的距离为|PH|，点P到定直线CB的距离为d，则|PH|=dsinθ∵点P到平面BCD的距离与点P到点A的距离相等∴dsinθ=|PA|∴＜1即在平面ABC中，点P到定点A的距离与定直线BC的距离之比是一个小于1的常数sinθ，由椭圆定义知P点轨迹为椭圆在面ABC内的一部分．故选：B．二、填空题（每题5分，共4题）13．（5分）若向量=（1，λ，2），=（﹣2，1，1），，夹角的余弦值为，则λ=1．【解答】解：∵向量=（1，λ，2），=（﹣2，1，1），∴=﹣2+λ+2=λ，=，=．又，夹角的余弦值为，∴==，可知λ＞0．解得λ=1．故答案为：1．14．（5分）已知直线x+y=a与圆x2+y2=1交于A，B两点，O是原点，C是圆上一点，若，则a的值为．【解答】解：如图，设OC交AB于D，则OC⊥AB；∵，且；∴；设直线x+y=a交y轴于E，则△ODE为等腰直角三角形，OE=a；∴．故答案为：．15．（5分）直线与抛物线y2=4x相交于A、B两点，与x轴相交于点F，若，则=．【解答】解：直线过抛物线的焦点F（1，0），把直线方程代入抛物线的方程解得，或，不妨设A（3，2）、B （，﹣）．∵，∴（1，0）=（3λ，2λ）+（μ，﹣μ）=（3λ+μ，2λ﹣μ ）．∴3λ+μ=1，2λ﹣μ=0，λ≤μ．∴=，故答案为．16．（5分）已知椭圆，直线与以原点为圆心，以椭圆C的短半轴为半径的圆相切，F1，F2为椭圆C的左右焦点，P为椭圆C上异于顶点的任意一点，△F1PF2的重心为G，内心为I，且IG∥F1F2，则椭圆C的标准方程为．【解答】解：设P（x0，y0），I（x1，y1），则G（）．又IG∥F 1F2，y I=，|F1F2|=2c，∴=•|F1F2|•|y0|=（|F1F2|+|PF1|+|PF2|）•||，∴2c=，故a=2c．又直线与以原点为圆心，以椭圆C的短半轴为半径的圆相切，∴b==，∴，得a2=8．∴椭圆C的标准方程为．故答案为：．三、解答题（共70分，共6题）17．（10分）设命题p：∀x∈R，x2+x＞a，命题q：∃x∈R，使x2+2ax+2﹣a=0（1）写出两个命题的否定形式￢p和￢q；（2）若命题（￢p）∨q为假命题，求实数a的取值范围．【解答】解：（1）￢p：∃x0，使得≤a；￢q：∀x∈R，x2+2ax+2﹣a≠0．（2）命题p：∀x∈R，x2+x＞a，∵x2+x=≥，∴a＜﹣．命题q：∃x∈R，使x2+2ax+2﹣a=0，∴△=4a2﹣4（2﹣a）≥0，解得a≥1，或a≤﹣2．∴￢p：a；￢q：﹣2＜a＜1．∵命题（￢p）∨q为假命题，∴￢p与q都为假命题，∴p与￢q都为真命题．∴，解得．∴实数a的取值范围是．18．（10分）已知圆心为C的圆过点A（0，﹣6）和B（1，﹣5），且圆心在直线l：x﹣y+1=0上．（1）求圆心为C的圆的标准方程；（2）过点M（2，8）作圆的切线，求切线方程．【解答】（本小题12分）解：（1）设所求的圆的方程为（x﹣a）2+（y﹣b）2=r2依题意得：…（3分）解得：a=﹣3，b=﹣2，r2=25所以所求的圆的方程为：（x+3）2+（y+2）2=25…（6分）（2）设所求的切线方程的斜率为k，则切线方程为y﹣8=k（x﹣2），即kx﹣y﹣2k+8=0又圆心C（﹣3，﹣2）到切线的距离又由d=r，即，解得…（8分）∴所求的切线方程为3x﹣4y+26=0…（10分）若直线的斜率不存在时，即x=2也满足要求．∴综上所述，所求的切线方程为x=2或3x﹣4y+26=0…（12分）19．（12分）已知双曲线C：﹣y2=1，P是C上的任意点．（1）求证：点P到C的两条渐近线的距离之积是一个常数；（2）设点A的坐标为（5，0），求|PA|的最小值．【解答】解：（1）设P（x0，y0），P到两条渐近线的距离记为d1，d2∵两条渐近线为x﹣2y=0，x+2y=0…..2'∴…..4’又∵点P在曲线C上，∴=，得（常数）即点P到C的两条渐近线的距离之积是一个常数….6’（2）设P（x0，y0），由平面内两点距离公式得|PA|2==x02﹣10x0+25+﹣1…8’∵，可得=∴|PA|2==…..9’又∵点P在双曲线上，满足|x0|≥2，∴当x0=4时，|PA|有最小值，|PA|min=2….12’20．（12分）已知椭圆的离心率为，设其左右焦点为F1，F2，过F2的直线l交椭圆于A，B两点，三角形F1AB的周长为8．（Ⅰ）求椭圆的标准方程；（Ⅱ）设O为坐标原点，若OA⊥OB，求直线l的方程．【解答】解：（Ⅰ）由题意可得4a=8，a=2，又，得c=，∴b2=a2﹣c2=1，∴椭圆的标准方程为；（Ⅱ）当直线l的斜率不存在时，直线l的方程为x=，此时A（），B （），，不满足题意；当直线l的斜率存在时，设斜率为k，则直线方程为y=，联立，得．设A（x1，y1），B（x2，y2），则，，===，∵OA⊥OB，∴x1x2+y1y2==，解得：k=．∴直线l的方程为：．21．（13分）如图，已知抛物线C：y2=2px（p＞0）上有两个动点A，B，它们的横坐标分别为a，a+2，当a=1时，点A到x轴的距离为，M是y轴正半轴上的一点．（Ⅰ）求抛物线C的方程；（Ⅱ）若A，B在x轴上方，且|OA|=|OM|，直线MA交x轴于N，求证：直线BN的斜率为定值，并求出该定值．【解答】（Ⅰ）解：由题意得当a=1时，点A坐标为，由题有，∴p=1∴抛物线C的方程为：y2=2x（Ⅱ）证明：由题，，∵|OA|=|OM|，∴，∴∴直线MA的方程为：y=，∴∴===，∴直线BN的斜率为定值，该定值为﹣1．22．（13分）如图，以椭圆=1的右焦点F2为圆心，1﹣c为半径作圆F2（其中c为已知椭圆的半焦距），过椭圆上一点P作此圆的切线，切点为T．（Ⅰ）若a=，P为椭圆的右顶点，求切线长|PT|；（Ⅱ）设圆F2与x轴的右交点为Q，过点Q作斜率为k（k＞0）的直线l与椭圆相交于A，B两点，若OA⊥OB，且|PT|≥（a﹣c）恒成立，求直线l被圆F2所截得弦长的最大值．【解答】（本题满分15分）解：（I）由得，…（1分）则当P为椭圆的右顶点时，故此时的切线长…（5分）（Ⅱ）当|PF2|取得最小值时|PT|取得最小值，而|PF 2|min=a﹣c，由|PT|≥恒成立，得，则…（7分）由题意Q点的坐标为（1，0），则直线l的方程为y=k（x﹣1），代入得（a2k2+1）x2﹣2a2k2x+a2k2﹣a2=0，设A（x1，y1），B（x2，y2），则有，，…（9分）可得=，又OA⊥OB，则可得直线l的方程为ax﹣y﹣a=0，…（11分）圆心F2（c，0）到直线l的距离，半径r=1﹣c则直线l被圆F2所截得弦长，…（13分）设1﹣c=t，则，又则当时的最小值为，即当时s的最大值为…（15分）赠送初中数学几何模型【模型五】垂直弦模型：图形特征：运用举例：1.已知A、B、C、D是⊙O上的四个点.(1)如图1，若∠ADC＝∠BCD＝90°，AD＝CD，求证AC⊥BD；(2)如图2，若AC⊥BD，垂足为E，AB＝2，DC＝4，求⊙O的半径.第11页（共12页）2.如图，已知四边形ABCD 内接于⊙O ，对角线AC ⊥BD 于P ，设⊙O 的半径是2。
湖北省武汉外国语学校2015-2016学年高二英语上学期期末考试试题
武汉外国语学校2015—2016学年度上学期期末考试高二英语试题第一部分：听力（共两节，满分30分）做题时，先将答案划在试卷上。
录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节（共5小题；每小题1．5分，满分7．5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.What does the woman say about Peter?A.He is mad at modern art.B.He works in the art museum.C.He isn’t really interested in the exhibits.2.What does the man advise Ellen to do?A. To phone John.B. To have a walk.C. To be calm and patient.3.Where did corn grow at the earliest time?A. In Asia.B. In America.C. In Europe.4.Who is probably the man?A. A restaurant waiter.B. A hotel receptionist.C. A landlord.5.What do we know about Mr. Jensen?A. He is dead.B. He’s still in hospital.C. He is working hard.第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。
湖北省武汉外国语学校2015-2016学年高一地理上学期期末考试试题
武汉外国语学校2015—2016学年度上学期末考试高一地理试题一．选择题（每题2分，共50分）2015年7月24日，美国国家航空航天局(NASA)发布消息，称发现编号为Kepler-452b的行星是至今为止发现的最接近地球的“孪生星球”，有可能拥有大气层和流动水。
这颗类地行星与地球相似指数达到0．98，距离地球1400光年，绕着一颗与太阳非常相似的恒星运行。
其所在星系恒星的质量比太阳多4%，亮度则要多出10%。
NASA表示，Kepler-452b可以被称为地球2．0版本。
据此完成1. 编号为Kepler-452b的行星不可能属于A．总星系 B．银河系 C．河外星系D．太阳系读下表及相关材料，完成第2题：偏心率：是焦点到椭圆中心的距离与椭圆半长轴之比，如果为零，则椭圆为圆。
2. 由以上信息可知：A.行星绕日公转的方向具有同向性B.与地球公转轨道最接近共面的是天王星C.表中所示各行星中公转轨道最接近正圆的是水星D.距地球最近的行星是火星美国宇航局科学家对第一次银河系行星数量普查做出的估计，银河系内的行星数量是一个天文数字，至少达到500亿颗，其中大约有5亿颗坐落于所谓的“金发姑娘区”，也就是适居区。
据此回答3．对“金发姑娘区”描述不正确的是A．这一地区的温度既不太高，也不太低，适宜生命存在B．这一地区只有液态水的存在C．这一地区宇宙环境比较安全D．这一地区星球的表面可能存在大气层在交通的十字路口处，我们经常见到如图所示的太阳能交通信号灯，据此完成下题。
4．下列哪一城市大量设置这种交通信号灯效果会更好A．拉萨 B．重庆C．大庆 D．海口读“太阳黑子与温带乔木年轮相关性曲线图”，完成下列各题。
5 图中年轮宽度与太阳黑子相对数之间的关系A．正相关 B．负相关C．成反比D．没有相关性6．此图所反映的问题是A．太阳活动能影响地球气候B．太阳活动发射的电磁波能扰动地球的电离层C．太阳活动剧烈时，抛出的带电粒子流扰动地球磁场，产生“磁暴”现象D．太阳活动时，太阳风使两极地区出现极光，从而影响中、高纬度地区树木的生长7. 发射地球卫星与地球自转线速度有关。
湖北省武汉外国语学校2015-2016学年高二语文上学期期末考试试题
武汉外国语学校2015—2016学年度上学期期末考试高二语文试题本试卷分第Ⅰ卷（阅读题）和第Ⅱ卷（表达题）两部分。
满分150分，考试时间150分钟。
第Ⅰ卷（阅读题，共70分）一、现代文阅读（9分，每小题3分）阅读下面的文字，完成l～3题。
8月23日，刘慈欣凭借《三体》英文版第一部获得第73届“雨果奖”，这不仅是科幻文学界的盛事，也是当代中国文学的盛事。
科幻文学在中国虽然很早就得到提倡，梁启超曾撰写过《新中国未来记》，鲁迅也翻译过凡尔纳的《月界旅行》。
但“五四”以来，科幻文学在中国一直不甚发达，其原因或许在于，20世纪饱经忧患的中国，最切要的是民族的生存与发展，我们很难在现实的苦难中仰望星空，探寻宇宙的奥秘。
新世纪以来，科幻文学在中国崛起，以刘慈欣、韩松、王晋康、何夕等为代表的科幻作家创作了一大批优秀的科幻文学作品，从整体上提升了中国科幻文学的水平，尤其是刘慈欣的《三体》，有研究者称之为“凭一人之力将中国科幻提高到了世界水准”。
科幻文学崛起的背后是几代科幻人付出的心血与努力，也与中国在世界秩序中位置的提升有极大关系。
《三体》的获奖让我们看到中国科幻已经达到甚至开始引领世界水平，但意义不仅于此。
在阅读《三体》时，最令人兴奋的是，在那波澜壮阔的太空史诗中，中国人开始以主角的身份出现，作为人类的代表参与宇宙事务。
在此之前，我们看到的西方科幻文学与电影中，西方人是当然的主角，他们代表人类与外星人展开星球大战，最终拯救了地球。
在这些作品中，我们看不到中国人的身影。
《三体》的出现让我们看到中国人也可以参与宇宙事务，更让我们意识到，此前的中国人形象在科幻作品中的缺失，不仅是一个艺术想象的问题，也是一个国家实力与信心的问题。
《三体》塑造了一种新的中国人形象，以往我们熟悉的中国人是阿Q、朱老忠、陈奂生，在他们的身上，我们可以看到数千年来中国人“精神奴役的创伤”以及他们在20世纪改变命运的艰辛与努力。
而在《三体》中，我们看到的是具有东方智慧的现代中国人形象，他们在地球文明遭遇三体文明时承担着关键的使命，他们是人类文明的代表，在太空中挥洒着智慧与意志，探索着人类与宇宙的未来。
2015武汉外校初升高资格生考试有答案
2015武汉外国语学校初升高资格考试III 英语（总分60分）第一部分单项选择（共15小题，每小题1分，满分15分）1. ---_________! The door of the classroom has been left open all night.---Oh, I'm not the one to blame.A. Thank goodnessB. Come onC. All rightD. My goodness2. ---Can you show me ________way to the Jordan's ?---Sorry, I'm afraid I can't because there isn't______ Jordan in the community.A. the; theB. the; aC. a; theD. the; /3. ---Ten dollars a pair? I think it's a bit expensive.---If you take five pairs, the price for each will ____ to five dollars.A. take downB. put downC. break downD. come down4. ---It is many years _____ they ____married.---As I know, they just celebrated their 30th wedding anniversary last month.A. before; had gotB. when; gotC. since; gotD. that; had got5. ---The advertisement says this big store provides all kinds of refrigerators.---I think it wants to tell us we_____ go to any other store.A. needn'tB. can'tC. mustn'tD. may not6. _________all of them have done a good job, only one can be chosen for the position.A. IfB. AsC. WhileD. Since7. Attention please ! All passengers must have the luggage _____two hours before your planes take off.A. to checkB. checkedC. checkD. checking8. We have ___the TV sets and marked on each box "Look out", "Easily broken stuff".A. packedB. takenC. carriedD. delivered9. Teenagers who don't take exercise or ______diet is high in fat will be likely to gain weight.A. thatB. whichC. whatD. whose10. After thinking it over, he finally agreed with my suggestion that we _____ the date.A. changedB. had changed C change D. would change11. ---Do you know that she failed Physics in the final-term exam?---Yes, but I have no idea _____ she did it. She is always good at it.A. howB. whyC. thatD. what12. Lucy, _____for years to be a reporter, finally took a position at Wuhan Evening Daily.A. having struggledB. to struggleC. strugglingD. struggled13. It is known to all that it is Jim who broke the chair. Don't talk to me as if I ___it.A. have doneB. didC. had doneD. would do14. Only after they had negotiated for several months _____an agreement.A. they reachedB. did they reachC. they reachD. do they reach15. ---I tried my best but I still couldn't work out the meaning of the poem.---____________. Read more.A. I'm afraid notB. It's up to youC. I'm sorryD. You are not alone第二部分完形填空（共15小题，每小题1分，满分15分）I lived with my father on a small farm in Virginia. Farm days were happy but there were sometimes some things you didn’t expect. One day, I was sent by my father to buy some tools for our farm. As a 17-year-old boy, I liked 16 better than driving our truck, 17 this time I couldn’t cheer up. My father had told me I’d have to ask for credit(赊账) at the store.Seventeen is a/an 18 age, when a young man wants respect more than anything else. It was 1976, and the ugly 19 of racial discrimination(歧视) was still a fact of life. I had seen my friends ask for credit and then stand, head down, while the store owner 20 whether they were good for it. I knew black youths just like me who were 21 like thieves by the store clerk each time they went into a store.My family was honest. We paid our debts. But before harvest, cash was short. Would the store owner 22 us?Wall James, the store owner, stood behind the cash desk, talking to a farmer. I nodded as I passed him on my way to the shelves. When I brought my 23 to the cash desk, I said 24 , “I need to put this on credit.”The farmer gave me a 25 look. But Wall’s face didn’t change. “Sure,” he said quickly. “Your dad is 26 good for it.” He 27 to the other man. “This boy is one of John Tuck’s sons.”The farmer nodded in a neighborly way. I was filled with pride. “John Tuck’s son.” Those there words had opened a door to an adult’s respect and trust.That day I discovered that the good name my parents had 28 brought our whole family the respect of our neighbors. Everyone knew what to 29 from a Tuck: a decent person who kept his word and respected himself 30 much to do wrong.16. A. everything B. anything C. nothing D. something17. A. so B. yet C. and D. though18. A. prideful B. exciting C. respectful D. excellent19. A. object B. habit C. intention D. shadow20. A. suspected B. questioned C. found D. figured21. A. caught B. accused C. watched D. separated22. A. trust B. blame C. charge D. believe23. A. bargains B. orders C. sales D. purchases24. A. excitedly B. friendly C. carefully D. casually25. A. trustful B. distrustful C. proud D. confident26. A. always B. sometimes C. never D. frequently27. A. replied B. turned C. pointed D. introduced28. A. given B. deserved C. earned D. wasted29. A. give B. receive C. demand D. expect30. A. so B. enough C. too D. very三.阅读理解（共10小题，每小题2分，满分20分）第一节，（共5小题，每小题2分，满分10分）Humor can make the conversation more interesting. If you intend using humor in your talk to make people smile, you must know how to identify shared experiences and problems. Your humor must be relevant to the audience and should help to show them that you are one of them or that you understand their situation and are in sympathy with their point of view. Depending on whom you are addressing, the problems will be different. If you are talking to a group of managers, you may refer to the disorganized methods of their secretaries; if you are addressing secretaries, you may want to comment on their disorganized bosses.Here is an example, which I heard at a nurses' gathering, of a story which works well because the audience all shared the same view of doctors. A man arrives in heaven and is being shown around by an Angel. He sees wonderful accommodations, beautiful gardens, sunny weather and so on. Everyone is very peaceful, polite and friendly until, waiting in a line for lunch, the new arrival is suddenly pushed aside by a man in a white coat, who rushes to the head of the line, grabs his food and stomps over to a table by himself. "Who is that?" the new arrival asked the Angel. "Oh, that's God." came the reply, "but sometimes he thinks he's a doctor."If you feel awkward being humorous, you must practice so that it becomes more natural. Include a few casual and apparently off-the-cuff remarks which you can deliver in a relaxed and unforced manner. Often it's the delivery which causes the audience to smile, so speak slowly and remember that a raised eyebrow or an unbelieving look may help to show that you are making a light-hearted remark.Look for the humor. It often comes from the unexpected. A twist on a familiar quote "If at first you don't succeed, give up" or a play on words or on a situation. Look at your talk and pick out a few wordsor sentences which you can turn about and inject with humor.31:To make your humor work, you are supposed to ________.A. make fun of the disorganized people.B. address different problems to different people.C. show sympathy for your listeners.D. take advantage of different kinds of audience32: The joke about the doctors implies that, in the eyes of nurses, they are ________.A. very clear about their godlike roleB. very busy even during lunch hours.C. impolite to new arrivalsD. not fond of having lunch with the nurses33:What’s the possible meaning of the underlined word in paragraph3? ________.A. intentionalB. urgentC. unpreparedD. excellent34:To achieve the desired result, humorous stories should be delivered ________.A. as casually as possibleB. as awkwardly as possibleC. in well-worded languageD. as quickly as possible35: The best title for the text may be ________.A. Different Humor methodsB. Various kinds of humorC. Add humor to speechD. Use humor effectively第二节（共5小题，每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项，选项中有两处为多余选项。
武汉外校初升高资格生考试有答案
2015武汉外国语学校初升高资格考试III 英语（总分60分）第一部分单项选择（共15小题，每小题1分，满分15分）1. ---_________! The door of the classroom has been left open all night.---Oh, I'm not the one to blame.A. Thank goodnessB. Come onC. All rightD. My goodness2. ---Can you show me ________way to the Jordan's ?---Sorry, I'm afraid I can't because there isn't______ Jordan in the community.A. the; theB. the; aC. a; theD. the; /3. ---Ten dollars a pair? I think it's a bit expensive.---If you take five pairs, the price for each will ____ to five dollars.A. take downB. put downC. break downD. come down4. ---It is many years _____ they ____married.---As I know, they just celebrated their 30th wedding anniversary last month.A. before; had gotB. when; gotC. since; gotD. that; had got5. ---The advertisement says this big store provides all kinds of refrigerators.---I think it wants to tell us we_____ go to any other store.A. needn'tB. can'tC. mustn'tD. may not6. _________all of them have done a good job, only one can be chosen for the position.A. IfB. AsC. WhileD. Since7. Attention please ! All passengers must have the luggage _____two hours before your planes take off.A. to checkB. checkedC. checkD. checking8. We have ___the TV sets and marked on each box "Look out", "Easily broken stuff".A. packedB. takenC. carriedD. delivered9. Teenagers who don't take exercise or ______diet is high in fat will be likely to gain weight.A. thatB. whichC. whatD. whose10. After thinking it over, he finally agreed with my suggestion that we _____ the date.A. changedB. had changed C change D. would change11. ---Do you know that she failed Physics in the final-term exam?---Yes, but I have no idea _____ she did it. She is always good at it.A. howB. whyC. thatD. what12. Lucy, _____for years to be a reporter, finally took a position at Wuhan Evening Daily.A. having struggledB. to struggleC. strugglingD. struggled13. It is known to all that it is Jim who broke the chair. Don't talk to me as if I ___it.A. have doneB. didC. had doneD. would do14. Only after they had negotiated for several months _____an agreement.A. they reachedB. did they reachC. they reachD. do they reach15. ---I tried my best but I still couldn't work out the meaning of the poem.---____________. Read more.A. I'm afraid notB. It's up to youC. I'm sorryD. You are not alone第二部分完形填空（共15小题，每小题1分，满分15分）I lived with my father on a small farm in Virginia. Farm days were happy but there were sometimes some things you didn’t expect. One day, I was sent by my father to buy some tools for our farm. As a 17-year-old boy, I liked 16 better than driving our truck, 17 this time I couldn’t cheer up. My father had told me I’d have to ask for credit(赊账) at the store.Seventeen is a/an 18 age, when a young man wants respect more than anything else. It was 1976, and the ugly 19 of racial discrimination(歧视) was still a fact of life. I had seen my friends ask for credit and then stand, head down, while the store owner 20 whether they were good for it. I knew black youths just like me who were 21 like thieves by the store clerk each time they went into a store.My family was honest. We paid our debts. But before harvest, cash was short. Would the store owner 22 us?Wall James, the store owner, stood behind the cash desk, talking to a farmer. I nodded as I passed him on my way to the shelves. When I brought my 23 to the cash desk, I said 24 , “I need to put this on credit.”The farmer gave me a 25 look. But Wall’s face didn’t change. “Sure,” he said quickly. “Your dad is 26 good for it.” He 27 to the other man. “This boy is one of John Tuck’s sons.”The farmer nodded in a neighborly way. I was filled with pride. “John Tuck’s son.” Those there words had opened a door to an adult’s respect and trust.That day I discovered that the good name my parents had 28 brought our whole family the respect of our neighbors. Everyone knew what to 29 from a Tuck: a decent person who kept his word and respected himself 30 much to do wrong.16. A. everything B. anything C. nothing D. something17. A. so B. yet C. and D. though18. A. prideful B. exciting C. respectful D. excellent19. A. object B. habit C. intention D. shadow20. A. suspected B. questioned C. found D. figured21. A. caught B. accused C. watched D. separated22. A. trust B. blame C. charge D. believe23. A. bargains B. orders C. sales D. purchases24. A. excitedly B. friendly C. carefully D. casually25. A. trustful B. distrustful C. proud D. confident26. A. always B. sometimes C. never D. frequently27. A. replied B. turned C. pointed D. introduced28. A. given B. deserved C. earned D. wasted29. A. give B. receive C. demand D. expect30. A. so B. enough C. too D. very三.阅读理解（共10小题，每小题2分，满分20分）第一节，（共5小题，每小题2分，满分10分）Humor can make the conversation more interesting. If you intend using humor in your talk to make people smile, you must know how to identify shared experiences and problems. Your humor must be relevant to the audience and should help to show them that you are one of them or that you understand their situation and are in sympathy with their point of view. Depending on whom you are addressing, the problems will be different. If you are talking to a group of managers, you may refer to the disorganized methods of their secretaries; if you are addressing secretaries, you may want to comment on their disorganized bosses.Here is an example, which I heard at a nurses' gathering, of a story which works well because the audience all shared the same view of doctors. A man arrives in heaven and is being shown around by an Angel. He sees wonderful accommodations, beautiful gardens, sunny weather and so on. Everyone is very peaceful, polite and friendly until, waiting in a line for lunch, the new arrival is suddenly pushed aside by a man in a white coat, who rushes to the head of the line, grabs his food and stomps over to a table by himself. "Who is that?" the new arrival asked the Angel. "Oh, that's God." came the reply, "but sometimes he thinks he's a doctor."If you feel awkward being humorous, you must practice so that it becomes more natural. Include a few casual and apparently off-the-cuff remarks which you can deliver in a relaxed and unforced manner. Often it's the delivery which causes the audience to smile, so speak slowly and remember that a raised eyebrow or an unbelieving look may help to show that you are making a light-hearted remark.Look for the humor. It often comes from the unexpected. A twist on a familiar quote "If at first you don't succeed, give up" or a play on words or on a situation. Look at your talk and pick out a few wordsor sentences which you can turn about and inject with humor.31:To make your humor work, you are supposed to ________.A. make fun of the disorganized people.B. address different problems to different people.C. show sympathy for your listeners.D. take advantage of different kinds of audience32: The joke about the doctors implies that, in the eyes of nurses, they are ________.A. very clear about their godlike roleB. very busy even during lunch hours.C. impolite to new arrivalsD. not fond of having lunch with the nurses33:What’s the possible meaning of the underlined word in paragraph3? ________.A. intentionalB. urgentC. unpreparedD. excellent34:To achieve the desired result, humorous stories should be delivered ________.B. as awkwardly as possibleA. as casually as possibleC. in well-worded languageD. as quickly as possible35: The best title for the text may be ________.A. Different Humor methodsB. Various kinds of humorC. Add humor to speechD. Use humor effectively第二节（共5小题，每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项，选项中有两处为多余选项。
湖北省武汉外国语学校2015-2016学年高一下学期期末考试英语试题
武汉外国语学校2015—2016学年度下学期期末考试高一英语试题考试时间：6月30日试卷满分：140分第一部分听力（共两节，满分20分）第一节（共5小题；每小题1分，满分5分）听下面5段对话。
每段对话后有一个小题，从题中所给的A,B,C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.What time will the speakers leave home?A.At7:00.B.At7:10.C.At7:30.2.When will the woman discuss her class project with the man?A.During the man’s class.B.After today’s class.C.Tomorrow.3.What are the two speakers talking about?A.Foreign languages.B.A novel.C.A film.4.Why didn't Jim go home last weekend?A.He was ill.B.He was busy.C.He went to Beijing.5.Why didn’t the man come to the meeting？A.He didn’t know that there would be a meeting.B.He wasn’t interested in attending the meeting.C.He didn’t know he must attend the meeting.第二节（共15小题；每小题1分，满分15分）听下面5段对话。
每段对话或独白后有几个小题，从题中所给的、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听每段对话或独白前，将有时间阅读各个小题，每小题5秒钟；听完后，各小题给出5秒钟的作答时间。
湖北省武汉外国语学校2014-2015学年高一上学期期中考试物理试题 (部分)含答案
2014—2015学年度上学期高一物理答题卷
二、实验题。
(共15分)
12. (6分) _________________ _________________ _________________
13. (9分)
(1)_____________________
(2)_______________________________________________________________
(3)_______________________________________________________________
二、计算题。
(要求有严密的推理和简明的表述)
14.(13分)
初速为零的摩托车，要想在2min内沿直线追上它前方1000m处以15m/s匀速远去的汽车，且摩托车的最大速度为25m/s,则其加速度至少为多大？
15.(12分)
在粗糙的水平面上，有一个质量为4kg
物块在水平面上匀速滑动，需对物块加一个拉力。
求：
(1)物块所受摩擦力和支持力的合力的方向与竖直方向的夹角。
(2)施加的拉力的最小值。
16.(13分)
如图所示，物体从光滑斜面上的A点由静止开始下滑，经过B点后进入水平面(设经过B 点前后速度大小不变)，最后停在C点，每隔0.2s通过速度传感器测量物体的瞬时速度，下表给出了部分测量数据。
(重力加速度g=10m/s2)，求：
⑴
⑵物体在斜面上下滑的时间；
⑶t=0.6s时的瞬时速度v.
17．(13分)。
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武汉市外国语学校2015年高中招生资格考试数学试题
一、填空题（共13题，每小题5分，满分65分）
1．化简：)12)(12(2)12)(12(2)12)(12(2)12)(12(2)12)(12(2655
544
433
322
211
++++++++++++++＝____
2．对于任意的有理数a ，方程2x 2－(a ＋1)x －(3a 2－4a ＋b )＝0的根总是有理数，则b 的值为____
3．如图，矩形ABCD 中，AB ＝6，BC ＝4，在AB 、BC 、CD 和DA 上分别取点E 、F 、G 、H ，使得AE ＝AH ＝CF ＝CG ，则四边形EFGH 面积的最大值为_______
4．口袋A 中装有标号分别为1到10的10个红球，口袋B 中装有标号分别为1到8的8个黑球．现在从两个口袋中随机各取出一个球，则红球标号比黑球标号大的概率为__________
5．如图，直线三角形ABC 中，∠C ＝90°，BC ∶AC ＝4∶3，圆O 是三角形ABC 的内切圆，点D
是斜边AB 的中点，则sin ∠ODA ＝__________
6．已知a ＋b ＝2，4)1()1(22-=-+-a
b b a ，则ab ＝__________7．已知实数x 、y 满足：x 4＋x 2＝3，32424=+y y ，则444y
x +＝_______8．如图，在等边三角形内，三个半径相等的圆两两外切，并且每个圆
都和等边三角形的两条边相切．若三角形的边长为4，则图中夹在三个
圆之间的阴影部分的面积为__________（用含π的代数式表示）
9．已知A 、B 、C 、D 、E 是反比例函数x
y 16=（x ＞0）图象上的五个整点（即横纵坐标都是整数的点），分别以这些点向横轴或纵轴作垂线段，由垂线段所在的正方形边长为半径作四分之一圆周的两条弧，组成如图所示的五个橄榄形（阴影部分）．若取圆周率π为3.14，则这五个橄榄形的面积总和是__________
10．下列四张图中，只有一张图的曲线满足拿住曲线的两端拉直后不会打结，请将该图对应的序号填在横线上__________
11．如图，在三角形ABC 中，AB ＝AC ，∠ABD ＝∠CBE ，BE ＝DE ．若BC ＝1，则点C 到BD 所在直线的距离为__________
12．对于正整数n ，记n !＝1×2×3×……×(n －1)×n ，例如：4!＝24，5!＝120，则2015!的尾部（从个位往前计数）连续的0的个数是__________
13．1789年的发过巴黎，一位对后世有深重影响的伟大数学家在这里诞生，他的名字叫柯西，
柯西的一生对数学领域有着很高的建树和造诣，很多数学定理和公式都用他的名字来命名，如著名的柯西不等式：(ac ＋bd )2≤(a 2＋b 2)(c 2＋d 2)，在该式中a 、b 、c 、d 可以是任意实数，当且仅当ad ＝bc 时等号成立，根据该式，对于有意义的实数x ，则x x 221-++的最大值为__________
三、解答题（共2题，第14题10分，第15题15分，满分25分）
14．已知函数1312+-=x y ，当a ≤x ≤b 时，y 的最小值为2a ，最大值为2b ，求a 、b 的值15．平面直角坐标系中，点F 坐标为(0，1)，点A 是抛物线24
1x y =
上异于原点O 的任意一点(1)过A 作直线l ：y ＝－1的垂线，垂足为M ，求证：AF ＝AM (2)设直线AF 与抛物线的另一交点为B ，判断以AB 为直径的圆与直线l ：y ＝－1的位置关系并证明
(3)过B 作直线l ：y ＝－1的垂线，垂足为N ，求证：A 、O 、N 三点共线
(4)若AF ＝3BF ，求△AOB 的面积
求x x 221-++的最大值。