重庆市巴蜀中学2019届高三英语上学期适应性月考试题(二)(扫描版)
专题6.导数与函数零点问题【原卷版】
学霸养成.2020高考数学热点难点必杀技系列—导数 函数零点问题是高考中的热点,内容主要包括函数零点个数的确定、根据函数零点个数求参数范围、隐零点问题及零点存在性赋值理论.
1.【2019全国Ⅰ理20】已知函数()sinln(1)fxxx,()fx为()fx的导数．证明： （1）()fx在区间(1,)2存在唯一极大值点； （2）()fx有且仅有2个零点．
一、函数零点个数问题 用导数研究函数的零点,一方面用导数判断函数的单调性,借助零点存在性定理判断；另一方面,也可将零点问题转化为函数图象的交点问题,利用数形结合来解决．对于函数零点个数问题,可利用函数的值域或最值,结合函数的单调性、草图确定其中参数范围．从图象的最高点、最低点,分析函数的最值、极值；从图象的对称性,分析函数的奇偶性；从图象的走向趋势,分析函数的单调性、周期性等．但需注意探求与论证之间区别,论证是充要关系,要充分利用零点存在定理及函数单调性严格说明函数零点个数． 【例1】若函数f(x)＝x3－3x＋a有三个不同的零点,则实数a的取值范围是________．
【对点训练】【天津市河北区2019届高三一模】已知函数2()ln(21)fxaxxax,其中aR.
（1）当a=1时,求函数fx的单调区间： （2）求函数fx的极值； （3）若函数fx有两个不同的零点,求a的取值范围. 二、零点存在性赋值理论 确定零点是否存在或函数有几个零点,作为客观题常转化为图象交点问题,作为解答题一般不提倡利用图象求解,而是利用函数单调性及零点赋值理论.函数赋值是近年高考的一个热点, 赋值之所以“热”, 是因为它涉及到函数领域的方方面面：讨论函数零点的个数(包括零点的存在性, 唯一性)； 求含参函数的极值或最值； 证明一类超越不等式； 求解某些特殊的超越方程或超越不等式以及各种题型中的参数取值范围等,零点赋值基本模式是已知 f (a) 的符号,探求赋值点 m (假定 m a )使得 f (m) 与 f (a) 异号,则在 (m,a) 上存在零点．赋值点遴选要领：遴选赋值点须做到三个确保：确保参数能取到它的一切值；（2） 确保赋值点 x0
专题03 复数-备战2022年高考数学(文)母题题源解密(全国甲卷)(解析版)
专题03 复数1．已知2(1)32i z i -=+，则z = A ．312i --B ．312i -+C ．32i -+D ．32i --【试题来源】2021年全国高考甲卷（文） 【答案】B【分析】由已知得322iz i+=-，根据复数除法运算法则，即可求解． 【解析】2(1)232i z iz i -=-=+，32(32)23312222i i i i z i i i i ++⋅-+====-+--⋅．故选B ．1．【2020年高考全国Ⅰ卷文数】若312i i z =++，则||=zA ．0B ．1C ．2D ．2【答案】C【解析】因为31+21+21z i i i i i =+=-=+，所以22112z =+=．故选C ．【点睛】本题主要考查向量的模的计算公式的应用，属于容易题． 2．【2020年高考全国Ⅱ卷文数】（1–i ）4= A ．–4 B ．4C ．–4iD ．4i【答案】A【解析】422222(1)[(1)](12)(2)4i i i i i -=-=-+=-=-. 故选A.【点睛】本题考查了复数的乘方运算性质，考查了数学运算能力，属于基础题.3．【2020年高考全国Ⅲ卷文数】若)(1i 1i z +=-，则z = A ．1–iB ．1+iC ．–iD ．i【答案】D【解析】因为21(1)21(1)(1)2i i iz i i i i ---====-++-，所以z i . 故选：D【点晴】本题主要考查复数的除法运算，涉及到共轭复数的概念，是一道基础题. 4．【2020年新高考全国Ⅰ卷】2i12i-=+ A ．1 B ．−1 C ．iD ．−i【答案】D【解析】2(2)(12)512(12)(i i i ii i 12)i i 5----===-++- 故选：D【点睛】本题考查复数除法，考查基本分析求解能力，属基础题. 5．【2019年高考全国Ⅰ卷文数】设3i12iz -=+，则||z = A ．2B ．3C ．2D ．1【答案】C【分析】先由复数的除法运算（分母实数化）求得z ，再求||z 即可． 【解析】方法1：由题可得(3i)(12i)17i (12i)(12i)55z --==-+-，所以2217()()||255z =+-=，故选C ．方法2：由题可得2222|3i |10||2|12i 3(1|5)12z +-+-====+，故选C ．【名师点睛】本题主要考查复数的乘法、除法运算、复数模的计算，是基础题．本题也可以运用复数模的运算性质直接求解．6．【2019年高考全国Ⅱ卷文数】设)i i (2z =+，则z =A ．12i +B ．12i -+C ．12i -D ．12i --【答案】 D【分析】根据复数的乘法运算法则先求得z ，然后根据共轭复数的概念写出z 即可． 【解析】由题可得2i(2i)2i i 12i z =+=+=-+，所以12i z =--，故选D ．【名师点睛】本题主要考查复数的乘法运算及共轭复数，是容易题，注重对基础知识、基本计算能力的考查．其中，正确理解概念、准确计算是解答此类问题的关键，部分考生易出现理解性错误． 7．【2019年高考全国Ⅲ卷文数】若(1i)2i z +=，则z = A ．1i -- B ．1i -+ C ．1i-D ．1i +【答案】D【解析】由题可得()(2i 2i 1i 1i 1i 1i 1i )()z -===+++-．故选D ． 【名师点睛】本题考查复数的除法的运算，渗透了数学运算素养．采取运算法则法，利用方程思想解题．复数问题每年必考，多以选择题的形式出现，而且是必拿分题，高考试题对该部分内容考查的主要角度有两种：①考查单纯的复数运算求解题；②考查复数的几何意义以及有关概念．熟练掌握复数的加、减、乘、除运算法则是关键：设z 1＝a ＋b i ，z 2＝c ＋d i(a ，b ，c ，d ∈R )，则 ①加法：z 1＋z 2＝(a ＋b i)＋(c ＋d i)＝(a ＋c )＋(b ＋d )i ； ②减法：z 1－z 2＝(a ＋b i)－(c ＋d i)＝(a －c )＋(b －d )i ； ③乘法：z 1·z 2＝(a ＋b i)·(c ＋d i)＝(ac －bd )＋(ad ＋bc )i ； ④除法：12i (i)(i)i (i)(i)z a b a b c d z c d c d c d ++-==++-22()i ac bd bc ad c d ++-+=2222i(i 0)ac bd bc adc d c d c d+-=++≠++． 注意：复数除法与作根式除法时的处理类似．在作根式除法时，分子、分母都乘以分母的“有理化因式”，从而使分母“有理化”；复数的除法是分子、分母都乘以分母的“实数化因式”（共轭复数），从而使分母“实数化”．虚数单位i 具有周期性，且最小正周期为4，有如下性质： （1）41424344ii,i 1,i i,i 1()n n n n n ++++==-=-=∈N ；（2）41424344ii i )i 0(n n n n n +++++++=∈N ．1．已知复数1i z a =-，22+i z =（i 为虚数单位），若12z z 是纯虚数．则实数a = A ．12-B ．12 C ．2-D ．3【试题来源】湖南省长沙市第一中学2021-2022学年高三上学期月考（一） 【答案】A【分析】结合复数的乘法运算求出12z z ，进而结合纯虚数的概念即可求出结果．【解析】由已()()()()12i 2i 212i z z a a a =-+=++-是纯虚数，所以210a +=且20a -≠，可得12a =-，故选A ．2．已知i 是虚数单位，若复数z 满足()()21i 1i z -=+，则z = A ．1 B ．2 C ．2D ．3【试题来源】湖北省黄石市有色一中2021届高三下学期5月模拟考试 【答案】B【分析】根据复数的乘除法运算求出复数z ，然后根据复数的模的公式即可得出答案． 【解析】因为()()21i 1i z -=+，所以()()()()21i 1i 1i 1ii 2i 1i 1z ++===-+--+，所以112z =+=．故选B ．3．设i 为虚数单位，若复数()()i 2i x +-的实部与虚部相等，则实数x 的值为 A ．3 B ．13C ．12D ．1【试题来源】湖南省永州市第四中学2021届高三下学期高考冲刺（二） 【答案】B【分析】由复数乘法运算展开()()i 2i x +-，再由实部、虚部相等列方程求x 的值．【解析】由()()()i 2i 212i x x x +-=++-的实部与虚部相等， 所以212x x +=-，解得13x =．故选B4．若复数z 满足()1i 22i z -=-，则z = A ．13 B ．13 C ．5D ．5【试题来源】江苏省南京市第二十九中学2021-2022学年高三上学期8月第二次学情调研 【答案】D【分析】根据条件求出复数z ，进而可求得z ． 【解析】由(1)i 22i z -=-得i i 22i z -=-，则2i12i iz -==--，所以()()22125z =-+-=．故选D ．5．i 是虚数单位，复数z 满足：1i iz=-，则z =A ．1i -B ．1i +C ．1i -+D ．1i --【试题来源】河南省洛阳市孟津县第一高级中学2021届高三下学期4月（文）调研试题 【答案】A【分析】先求z ，再求z ． 【解析】1i,1i izz =-∴=+，1z i ∴=-．故选A ． 6．设复数z 满足()12i 5z +=，则z = A ．5 B ．5 C ．3D ．1【试题来源】云南省曲靖市2021届高三二模（文） 【答案】B【分析】由()12i 5z +=用复数的除法求出z ，再求z ． 【解析】由()12i 5z +=，得()()()()512i 512i 12i 12i 12i 5z --===-+-，所以12z i =+，5z B ．7．25i3i+-的虚部为 A ．110B ．1310C ．1710D ．1310-【试题来源】河北省唐山市第十一中学2021届高三下学期3月调研 【答案】C【分析】利用复数的除法化简25i3i+-，即可知虚部． 【解析】25i (25i)(3i)117i 3i (3i)(3i)10++++==--+，故虚部为1710．故选C 8．已知i 是虚数单位，若复数z 满足2i 1iz=+，则z =． A ．2 B ．2 C ．22D ．4【试题来源】广东省江门市蓬江区培英高中2021届高三5月份数学冲刺试题 【答案】C【分析】先求出z ，然后根据复数的模求解即可 【解析】2i 1iz=+， ()2i 1i 22i z =+=-+，则4422z =+=，故选C 9．若复数1i z =-，则2|2|z z -= A ．0 B ．2 C ．4D ．6【试题来源】山东省菏泽市2021届高三二模 【答案】B【分析】根据复数的乘方运算以及减法运算求出22z z -，然后利用模长公式即可求出结果． 【解析】由题意可得()221i 2i z =-=-，则()()2221i 21i 2i 22i 2z z -=---=--+=-，所以2222z z -=-=．故选B ．10．设z C ∈，则“0z z +=”是“z 是纯虛数”的A ．充分但非必覂条件B ．必要但非充分条件C ．充要条件D ．既非充分也非必要条件【试题来源】重庆市巴蜀中学2022届高三上学期适应性月考（一） 【答案】B【分析】先证明“0z z +="是“z 是纯虛数”的非充分条件；再证明“0z z +="是“z 是纯虛数”的必要条件．即得解．【解析】设()i ,z a b a b =+∈R ，则i z a b =-， 若0z z +=，则0,a z =不一定是纯虛数， 所以“0z z +="是“z 是纯虛数”的非充分条件；若z 是纯虛数，则()i 0,i z b b z b =≠=-，一定有0z z +=成立． 所以“0z z +="是“z 是纯虛数”的必要条件；所以“0z z +="是“z 是纯虛数”的必要非充分条件．故选B11．已知i 是虛数单位，z 为复数，2+1i=z (3+i)，则在复平面内z 对应的点位于A ．第一象限B ．第二象限C ．第三象限D ．第四象限【试题来源】重庆市巴蜀中学2022届高三上学期适应性月考（一） 【答案】D【分析】先求出复数，即得解． 【解析】2i 11i 3i 22z -==-+，复平面内z 对应的点为11,22⎛⎫- ⎪⎝⎭，故选D ． 12．若复数i1iz -=+，则z = A ．14B ．12 C ．22D ．2【试题来源】重庆市第八中学2021届高三下学期高考适应性考试（一） 【答案】C【分析】利用复数的除法运算求出i 12z --=，结合复数的几何意义求出复数的模即可． 【解析】因为i(1i)i 1(1i)(1i)2z ----==+-，所以2||z =C13．若()1i 2i z +=，则z = A ．1i - B ．1i -- C ．1i +D ．1i -+【试题来源】贵州省贵阳市第一中学2021届高三下学期高考适应性月考卷（六）（文） 【答案】A【分析】先求出1i z =+，再由共轭复数的概念即可求解 【解析】()()()2i 1i 2i1i 1i 1i 1i z -===+++-， 所以1i z =-，故选A ． 14．若复数z 满足1i31iz z -+=+，则||z = A ．116B ．18C ．14D ．12【试题来源】重庆市第一中学2021届高三下学期第二次月考 【答案】D【分析】令i z x y =+(,)x y R ∈，由题设易得42i i x y -=-求x 、y ，进而可求||z ． 【解析】若i z x y =+(,)x y R ∈，则1i342i i 1iz z x y -+=-==-+， 所以0x =，12y =，即i 2z =， 所以1||2z =．故选D 15．i 是虚数单位，复数z 满足i 13i z ⋅=+，则||z = A ．10 B ．10 C ．8D ．22【试题来源】福建省莆田市2021届高三高中毕业班3月第二次教学质量检测 【答案】B【分析】根据复数的除法运算求出复数z ，然后利用复数模的公式求||z ． 【解析】因为i 13i z ⋅=+，所以()13i i13i 3i i i iz ++===-⋅， 所以()22||3110z =+-=．故选B ．16．在复平面内，平行四边形ABCD 的三个顶点，A ，B ，C 对应的复数分别为12i -+，3i -，12i +(i 为虚数单位)，则点D 对应的复数为 A ．35i -+ B ．1i - C ．13i +D ．3i -+【试题来源】江西省景德镇一中2022届高三7月月考（理） 【答案】A【分析】先利用复数的几何意义写出各点的坐标，再利用平行四边形构造相等向量列方程组求解． 【解析】由题知，()1,2A -，()3,1B -，()1,2C ，设(),D x y ． 则()4,3AB =-，()1,2DC x y =--． 因为ABCD 为平行四边形，所以AB DC =．由14,23x y -=⎧⎨-=-⎩，解得3,5x y =-⎧⎨=⎩， 所以点()3,5D -对应的复数为35i -+．故选A ． 17．复数2i2i-+的共轭复数是 A ．34i 55-- B ．34i 55-+ C ．34i 55-D ．34i 55+【试题来源】四川省绵阳中学2022届高三上学期第一次质量检测 【答案】D【分析】利用复数的除法化简复数2i2i-+，结合共轭复数的定义可得出结果． 【解析】因为()()()22i 2i 34i 2i 2i 2i 55--==-+-+，因此，复数2i2i -+的共轭复数是34i 55+．故选D ．18．已知复数i1iz =+，则它的共轭复数z = A ．1i2+ B ．1i2- C ．1i +D ．1i -【试题来源】贵州省贵阳市第一中学2021届高三下学期高考适应性月考卷（五）（文） 【答案】B【分析】利用复数的除法运算化简复数z ，再由共轭复数的定义即可求解．【解析】因为i i(1i)1i =1i (1i)(1i)2z -+==++-，所以1i 2z -=，故选B ． 19．已知i 为虚数单位，复数1z 、2z 满足122z z ==，1248i2iz z +-=-，则12z z = A ．4- B ．4i - C ．4iD ．4【试题来源】重庆市第八中学2021届高三下学期高考适应性考试（二） 【答案】D【分析】设12i,i z a b z c d =+=+，根据题设有22224,0,4a b c d a c b d +=+=-=-=，进而求12z z 即可． 【解析】()()()()1248i 2i 20i 4i2i 2i 5z z ++-===-+，设12i,i z a b z c d =+=+，则有22224,0,4a b c d a c b d +=+=-=-=，解得2,2,0b d a c ==-==， 所以122i,2i z z ==-，则124z z =，故选D ．20．已知方程210(,)ax bx a b ++=∈R 在复数范围内有一根为1i +，则复数z a bi =+在复平面上对应的点在 A ．第一象限 B ．第二象限 C ．第三象限D ．第四象限【试题来源】重庆市南开中学2021届高三下学期第七次质量检测 【答案】D【分析】把1i +代入已知方程，结合复数的运算及复数相等条件求得a ，b ，再由复数的几何意义可得选项． 【解析】因为方程210(,)ax bx a b ++=∈R 在复数范围内有一根为1i +，所以()()21110i a b i ++++=， 整理得()2+10a b i b ++=，所以112a b ==-，，所以12z a bi i =+=-，所以复数z a bi =+在复平面上对应的点在第四象限，故选D ． 21．已知复数1121i,1z z z =-⋅=，则复数2z 的虚部为 A ．12 B ．12-C ．1D ．1-【试题来源】贵州省贵阳市第一中学2021届高三下学期高考适应性月考卷（五）（理） 【答案】B【分析】根据条件可知211z z =，化简复数后求2z 的虚部．【解析】因为1121i,1z z z =+⋅=，所以211i 1i 1i (1i)(1i)2z --===++-，所以其虚部为12-．故选B ． 22．已知复数()()2i 2i z m =+-为纯虚数，则m =A ．1-B ．1C ．4-D ．4【试题来源】重庆市第八中学2021届高三下学期适应性月考卷（七）【答案】C【分析】根据导数的乘法运算化简复数z ，再根据纯虚数的定义即可求解．【解析】()422i z m m =++-为纯虚数，则4m =-．故选C ．23．若复数z 满足i i z z ⋅=-，则|i |z -=A ．22B ．2C ．1D ．22 【试题来源】湖南省新高考2021届高三下学期考前押题《最后一卷》【答案】A【分析】先根据复数的除法运算化简复数z ，再由模长公式计算即可求解．【解析】因为i i z z ⋅=-，所以()()()i 1i i 1i 1i 1i 1i 2z +-+===--+， 所以1i 11i i 222z ---==--， 故22112|i |222z ⎛⎫⎛⎫-=-+-= ⎪ ⎪⎝⎭⎝⎭，故选A ． 24．设若1z 、2z 、3z 为复数，则下列命题中正确的是A ．若23z z =，则23z z =±B ．若1213z z z z =，则23z z =C ．若23z z =，则1213z z z z =D ．若2121z z z =，则21z z = 【试题来源】预测05 算法、复数、推理与证明-【临门一脚】2021年高考数学（理）三轮冲刺过关【答案】C【分析】取特殊值法可判断AD 错误，根据复数的运算及复数模的性质可判断BC ．【解析】由复数模的概念可知，23z z =不能得到23z z =±，例如23,11i i z z =+=-，A 错误；由1213z z z z =可得123()0z z z -=，若10z =，则230z z -=不一定成立，即23z z =不一定成立，B 错误； 因为2121||||z z z z =，1313||||z z z z =，而23z z =，所以232||||||z z z ==，所以1213z z z z =，C 正确；取121,1z i z i =+=-，显然满足2121z z z =，但12z z ≠，D 错误．故选C25．已知复数z 的共轭复数是z ，若312i z z -=+，则z =A ．22B ．12C ．52D ．52 【试题来源】重庆市巴蜀中学2021届高三适应性（九）【答案】A【分析】设i,,z a b a b R =+∈，则i z a b =-，代入原式，利用复数相等求出,a b ，进而可得答案．【解析】设i,,z a b a b R =+∈，则i z a b =-，由312i z z -=+可得24i 12i a b -+=+，则12a =-，12b =， 所以2222z a b =+=，故选A ． 26．复数()2i i +的虚部是A ．2iB ．i -C ．2D ．1-【试题来源】广东省七校联合体2021届高三下学期第三次联考（5月）【答案】C【分析】利用复数的乘法运算化简复数()2i i +，再根据复数虚部的定义求解即可．【解析】因为()2+i i 12i =-+，所以虚部为2．故选C ．27．已知复数1z i =+，设复数22z w z =，则w 的虚部是 A ．1- B ．1C ．iD ．i -【试题来源】陕西省2021届高三下学期教学质量检测测评（六）（理）【答案】A【分析】根据复数的运算法则，求得1w i =--，结合复数的基本概念，即可求解．【解析】由题意，复数1z i =+， 根据复数的运算法则，可得2222(1)2(1)(1)1(1)2z i i i i w i z i i i i----=====--+-⋅， 所以复数w 的虚部是1-．故选A ． 28．复数45i z =-（其中i 为虚数单位），则2i z +=A ．7B ．5C ．7D ．25【试题来源】内蒙古赤峰二中2021届高三三模（理）【答案】B【分析】由复数加法求得2i z +，然后由复数模的运算求解．【解析】因为45i z =-，所以i 23i 4z +=-，所以()222435i z +=+-=，故选B ．29．已知i 为虚数单位，复数21i +的共轭复数为z ，则z 的虚部为 A ．1-B ．1C ．i -D ．i【试题来源】（理）-学科网2021年高三5月大联考考后强化卷（新课标Ⅰ卷）【答案】B【分析】先对21i+化简，求出复数z ，从而可求出其共轭复数z ，进而可求出z 的虚部 【解析】由题可得22(1i)1i 1i (1i)(1i)-==-++-，所以1i z =+，其虚部为1，故选B ．30．设复数z 满足()1i i z m -=+()m R ∈，若z 为纯虚数，则实数m =A ．1B ．-1C ．2D ．-2【试题来源】江苏省跨地区职业学校单招2020届高三下学期一轮联考【答案】A【分析】将i 1i m z +=-利用复数的除法运算化简，再令实部等于0，虚部不等于0即可求解 【解析】由()1i i z m -=+可得()()()()()i 1i 11i i 11i 1i 1i 1i 222m m m m m m z ++-+++-+====+--+， 所以1010m m -=⎧⎨+≠⎩，可得1m =，故选A ． 31．已知i 为虚数单位，若复数2i i ia z =-+ (a R ∈)为实数，则a = A ．2-B ．1-C ．1D ．2【试题来源】广东省揭阳市2021届高考数学模拟考精选题试题（一）【答案】D【分析】先对2i i ia z =-+化简，然后由虚部为零可求出a 的值 【解析】因为()222i i i 12i i 12i iz a a a -=+=--+=-+-为实数， 所以2a =；故选D32．法国数学家棣莫弗（1667-1754）发现的公式()cos isin cos isin nx x nx nx +=+推动了复数领域的研究．根据该公式，可得4ππcos isin 88⎛⎫+= ⎪⎝⎭． A ．1B ．iC ．1-D ．i -【试题来源】福建省2021届高三高考考前适应性练习卷（二）【答案】B【分析】根据已知条件将4ππcos sin 8i 8⎛⎫+ ⎪⎝⎭化成i ππcos sin 22+，根据复数的运算即可． 【解析】根据公式得4i i i ππππcos sin cos sin 8822⎛⎫+=+= ⎪⎝⎭，故选B ． 33．已知复数z 满足121z i i =+-(其中i 为虚数单位)，则z = A ．3B ．22C ．2D ．10【试题来源】全国Ⅰ卷2021届高三高考数学（文）押题试题（二）【答案】D【分析】把已知等式变形，再由复数代数形式的乘法运算化简求得z ，然后利用复数模的公式计算．【解析】因为()()1i 12i 3i z =-+=+， 所以22||=3110z +=．故选D ． 34．若复数z 满足()23i 1i z ⋅-=-，复数z 的虚部是A ．5i 13 B ．513 C ．113D ．1i 13 【试题来源】全国Ⅰ卷2021届高三高考数学（文）押题试题（一）【答案】C【分析】利用复数代数形式的乘除运算化简可得．【解析】由()23i 1i z ⋅-=-，得()()()()1i 23i 1i 5i 51i 23i 23i 23i 131313z -+-+====+--+ 所以复数z 的虚部是113故选C 35．若复数1=-i z i ，则|z |= A ．2B ．1C ．2D ．22【试题来源】四川绵阳南山中学2021届高三高考适应性考试（理）【答案】D【分析】首先化简复数z ，再求复数的模．【解析】()()()1111111222i i i i z i i i i +-+====-+--+， 所以22112222z ⎛⎫⎛⎫=-+= ⎪ ⎪⎝⎭⎝⎭．故选D 36．若复数1=-i z i ，则z = A ．14 B 2C ．12D ．2 【试题来源】四川绵阳南山中学2021届高三高考考适应性考试（文） 【答案】B 【分析】化简122i z =-+，再求||z 得解． 【解析】由题得(1)111(1)(1)222i i i i i z i i i +-+====-+--+， 所以22112()()222z =-+=．故选B 37．已知复数z 满足()()1i 2i i z -=+，则z =A ．1B ．2C ．52D ．102【试题来源】湖南省长沙市雅礼中学2021-2022学年高三上学期入学考试【答案】D【分析】()2i i 1iz +=-，利用复数的运算求出复数z ，从而求出z ． 【解析】()()()()()2i i 12i 1i 3i 1i 1i 1i 2z +-++-+===--+， 所以223110222z ⎛⎫⎛⎫=-+= ⎪ ⎪⎝⎭⎝⎭．故选D ． 38．已知复数z 满足z (1﹣i )=2+i 2021，则zi 在复平面内对应的点位于A ．第一象限B ．第二象限C ．第三象限D ．第四象限【试题来源】全国2021届高三高考数学（文）演练试卷（一）【答案】B【分析】利用复数的乘法、除法运算即可求解．【解析】由z (1﹣i )=2+i 2021，则()()()()2020212213131111222i i i i i i z i i i i i +++⋅++=====+---+， 3122zi i =-+，所以zi 在复平面内对应的点为31,22⎛⎫- ⎪⎝⎭，点位于第二象限．故选B 39．若复数z 满足23i 13z z -=，则z = A ．23i -B ．23i +C ．32i -D ．32i +【试题来源】全国100所普通高等学校招生全国统一考试2021届高三 数学（理）冲刺卷试题【答案】A【分析】由题意得1323iz =-，根据复数代数形式的除法运算和共轭复数的概念即可求出答案． 【解析】因为23i 13z z -=，所以()()()1323i 1323i 23i 23i z +==--+()1323i 23i 13+==+， 所以23i z =-，故选A ．40．已知复数12i z =-，21i z b =+(其中i 是虚数单位，b ∈R )，若12z z ⋅为实数，则b = A ．2-B ．12 C ．1 D ．2 【试题来源】贵州省凯里市第一中学2021届高三三模《黄金三卷》（文）【答案】B【分析】利用复数代数形式的乘法运算法则化简12z z ⋅，再根据复数为实数的充要条件即可得出．【解析】因为12i z =-，21i z b =+()()()2122i 1i 22i i i 221i z z b b b b b ⋅=-⋅+=+--=++-，因为12z z ⋅为实数，210b ∴-=，解得12b =．故选B.。
重庆市渝高中学2019届高三上学期第一次月考理科综合生物试卷 含答案
高2019级高三上期第一次月考试题理科综合生物能力测试一、选择题：本题共13个小题，每小题6分，共78分。
在每小题给出的四个选项中，只有一项是符合题目要求的。
1.以下关于元素与化合物的描述正确的是A.在DNA分子中相邻碱基通过磷酸二酯键相连B.组成细胞的微量元素只有Fe、Mn、Zn、Cu、B、MoC.在氨基酸脱水缩合形成多肽的过程中，每个氨基酸都只脱去中心碳上的氨基或羧基D.叶绿体组成的化学元素中含有C、H、N、Mg2.下列关于细胞核的叙述，正确的是A．真核细胞的核膜上有多种酶，有利于多种化学反应的顺利进行B．原核细胞的拟核除没有核膜外，其他方面与真核细胞的细胞核没有差别C．真核细胞的核膜上有核孔，脱氧核糖核酸等大分子物质通过核孔进入细胞质D．电镜下观察分裂间期的真核细胞核，可看到的结构有核膜、核仁和染色体3.盐碱地中生活的某种植物，其液泡膜上有一种载体蛋白，能将细胞质基质中的Na＋逆浓度梯度运入液泡，降低Na＋对细胞质基质中酶的伤害。
下列有关叙述不正确的是A. Na＋进入液泡的方式属于主动运输B. Na＋进入液泡的过程体现液泡膜的选择透过性C. 该载体蛋白作用的结果降低了细胞的吸水能力D. 该载体蛋白作用的结果提高了植物的耐盐性4.如图是某课外活动小组探究酶活性影响因素时绘制的实验结果图。
下列有关叙述正确的是A. pH为3时酶的活性小于pH为9时酶的活性B. pH为1时有淀粉水解，则过酸条件下酶没有失活C.实验的自变量是1h后淀粉剩余量，因变量是pHD.与盐酸相比，淀粉酶降低反应活化能的作用要弱5.关于人的肝细胞分裂的叙述，正确的是A.在细胞周期中，分裂间期的持续时间通常比分裂期的短B.分裂后期着丝点分裂时，染色体数目加倍C.分裂前期中心体复制并发出星射线形成纺锤体D.人的肝细胞在分裂过程中不会同时存在两个细胞核6.夏季某晴朗的一天对一密闭蔬菜大棚中的某种气体的含量进行24小时的检测，结果如图1。
巴蜀中学2023届高考适应性月考卷(十)英语-答案
巴蜀中学2023届高考适应性月考卷（十）英语参考答案第一部分听力（共两节，满分30分）1~5 BABCC 6~10 BBAAC 11~15 CACAB 16~20 BACAB第二部分阅读（共两节，满分50分）第一节（共15小题；每小题2.5分，满分37.5分）21~25 CADDC 26~30 BACBA 31~35 ADBCD第二节（共5小题；每小题2.5分，满分12.5分）36~40 GECFB第三部分语言运用（共两节，满分30分）第一节（共15小题；每小题1分，满分15分）41~45 BCACB 46~50 DABDA 51~55 CDBAC第二节（共10小题；每小题1.5分，满分15分）56．to learn 57．a 58．to 59．are driven 60．technologies 61．devoted 62．financial 63．presentation 64．launched 65．which第四部分写作（共两节，满分40分）第一节（满分15分）【参考范文】I can’t wait to explore real-world society through a summer social practice project! Could we incorporate community service activities into our experience?Community service not only allows us to learn about the world beyond the classroom first hand，but also offers us a unique opportunity to develop essential skills like teamwork，leadership，and communication through interacting with different people in diverse settings．We could engage in activities that address issues such as environmental conservation，children’s education，and healthcare．As for the assignment，I suggest that we submit a written report on our experiences and reflections or create an engaging video diary that captures our journey．I hope my suggestions will be taken into consideration．Thank you for offering this remarkable opportunity!—Li Hua英语参考答案·第1页（共9页）第二节（满分25分）【参考范文】It was then that my moment of courage arrived，inspiring me to act．With trembling hands and a pounding heart，I rose to my feet and recounted the story of the boy in my class．I described the cruel teasing he endured and our unawareness of his pain．Overwhelmed by emotion，I urged my classmates to put an end to the cruelty．As I finished speaking，a deafening silence enveloped the room．After what seemed like an eternity，soft clapping started in the front of the room，spreading throughout the entire audience．I knew I had touched something deep within us all．Later that day，the boy I had been talking about came up to me privately．With lowered eyes and flushed cheeks，he expressed his gratitude in a quivering voice．I gave him a bear hug，offering my delayed but heartfelt apologies．From that day on，I noticed that people began to treat him a lot better．The teasing stopped，and people greeted him in the halls with a friendly，“Hi!”It was those little，everyday things that I noticed．And I reckoned it was the speaker’s words of wisdom as well as our courage to change that made a huge difference to the boy and us as well．【解析】第二部分阅读第一节A【语篇导读】本篇为应用文。
重庆市巴蜀中学校2023届高三上学期适应性月考(五)数学试题
重庆市巴蜀中学校2023届高三上学期适应性月考（五）数学试题学校:___________姓名：___________班级：___________考号：___________一、单选题1．已知全集是实数集R ，集合{}{}2|2,|4120A x x B x x x =>=-->，则图中阴影部分所表示的集合为（）A ．{2}x x >∣B ．{22}xx -≤≤∣C ．{2}xx ≤∣D ．{2xx <-∣或2}x >2．已知复数12,z z 是方程210z z -+=的两个虚数根，则12,z z 在夏平面内对应的点关于（）A ．原点对称B ．直线y x =对称C ．y 轴对称D ．x 轴对称3．已知定义在R 上的函数()f x 满足(3)2f =-，且2()(3)=-+h x x f x 为奇函数，则(3)f -=（）A ．4B ．2-C ．0D ．24．圆台上､下底面圆的圆周都在一个半径为5的球面上，其上､下底面圆的周长分别为8π和10π，则该圆台的侧面积为（）A ．B ．C ．D ．5．已知{}n a 为递增等差数列，等比数列{}n b 以12,a a 为前两项且公比为3，若5m b a =，则m =（）A ．13B ．41C ．57D ．866．化简4sin160tan 20︒︒+=（）AB ．C ．D ．37．如图，已知直线:20l x y m ++=与圆22:2O x y +=相离，点P 在直线l 上运动且位于第一象限，过P 作圆O 的两条切线，切点分别是,M N ，直线MN 与x 轴､y 轴分别交于,R T 两点，且 ORT 面积的最小值为1625，则m 的值为（）A ．4-B ．9-C ．6-D ．5-8．已知实数,,(0,1)m n p ∈，且ln 2,ln 3,ln 3223=+=+=+m n pm n p ，则（）A ．p n m <<B ．n m p <<C ．m p n<<D ．n p m<<二、多选题9．已知双曲线2221y x b-=，若过点(2,2)作该双曲线的切线有且仅有一条，则该双曲线离心率e 可能为（）AB ．2C D 10．重庆的解放碑是重庆的地标性建筑，吸引众多游客来此打卡拍照．如图所示，现某中学数学兴趣小组对解放碑的高度进行测量，并绘制出测量方案示意图，A 为解放碑的最顶端，B 为基座（即B 在A 的正下方），在步行街上（与B 在同一水平面内）选取,C D 两点，测得CD 的长为100m ．小组成员利用测角仪已测得6ACB π∠=，则根据下列各组中的测量数据，能确定计算出解放碑高度AB 的是（）A ．∠∠BCD BDC 、B ．∠∠ACD ADC 、C ．∠∠BCD ACD、D ．∠∠BCD ADC、11．在分层随机抽样中，已知总体划分为两层，抽取的样本量分别为m 和n ，第一层的样本数据为1x ，2x ，, n x ，第二层的样本数据为12,,,n y y y ，各层的样本平均数和样本方差分别为2212,;,x s y s ．记总的样本平均数为ω，总的样本方差为2s ，则下列说法正确的是（）A ．ω=+++m nx y m n m nB ．()()()()()()222222212121⎡⎤=-+-++-+-+-++-⎣⎦+ m n s x x x x x x y y y y y y m n C ．()()()()()()222222212121ωωωωωω⎡⎤=-+-++-+-+-++-⎣⎦+ m n s x x x y y y m n D ．2222212()()ωω⎡⎤⎡⎤=+-++-⎣⎦⎣⎦++m n s s x s y m n m n12．如图甲，在矩形ABCD 中，22AB AD ==，E 为DC 的中点．将CBE △沿直线BE 翻折至1C BE △的位置，F 为1AC 的中点，如图乙所示，则（）A ．翻折过程中，四棱雉1C ABED -必存在外接球，不一定存在内切球B ．翻折过程中，不存在任何位置的1C ，使得1BE AC ⊥C ．当二面角1C BE A --为120︒时，点F 到平面1C BE的距离为4D ．当四棱雉1C ABED -的体积最大时，以1AC 为直径的球面被平面1C BE 截得的交线长为π三、填空题13．已知平面向量,a b 满足2a =，b =a b += ，则a 与b的夹角为_____．14．做出如下统计，3位志愿者随机选择到三个不同的核酸检测点进行服务，每个检测点可接纳多位志愿者，则三个核酸检测点都有志愿者到位的概率是______．（结果用最简分数表示）15．已知函数()()223,log 1,1xx af x x x a ⎧->⎪=⎨+-<≤⎪⎩且*a ∈N ，记()()g x f x t =+，若存在实数t 使得()g x 有两个不同的零点，则正整数a 的最大值为_______．四、双空题16．已知抛物线22(0)y px p =>的焦点为F ，该抛物线上存在两点M ，N ，M 在第一象限且||||OM ON =，其中O 为坐标原点．若OMN 的重心为F ，则直线OM 的斜率为________；若OMN 的内心为F ，则直线MN 的方程为__________（用p 表示）．五、解答题17．已知,,a b c 分别为ABC 内角,,A B C 的对边，若ABC 同时满足下列四个条件中的三个：①a =2b =；③sin sin sin ++=-B C a c A b c ；④21cos sin sin 24-⎛⎫-= ⎪⎝⎭B C B C ．(1)满足有解三角形的序号组合有哪些？(2)请在（1）所有组合中任选一组，求对应ABC 的面积．18．随着对新能源汽车的大力推广，其使用量逐年增加，加大了对新能源汽车充电基础设施的建设，统计该市近5年新能源汽车充电桩的数量（单位：千个），得到如下表格：年份20172018201920202021年份代号t12345新能源汽车充电桩数址y（千个）1719232630(1)若y 与t 成线性相关关系，求y 关于t 的线性回归方程ˆˆˆybt a =+；(2)预测2024年该新能源汽车充电桩的数量．参考公式：()()()121ˆˆˆ,ni i i nii tt y y ba y bt tt==--==--∑∑．19．如图，在四棱锥P ABCD -中，底面ABCD 是平行四边形，60,1∠== BCD AB ，4,BC =PA M ，N 分别为,BC PC 的中点，,PD DC PM MD ⊥⊥．(1)证明：PM ⊥平面ABCD ；(2)求直线AN 与平面PCD 所成角的正弦值．20．已知数列{}n a 满足22113,2221++==+-++n n n a a a n n ．(1)求证：22⎧⎫-⎨⎬⎩⎭n na n 是等差数列；(2)令2⎡⎤=⎢⎣⎦n n n a b （[]x 表示不超过x 的最大整数．提示：当a ∈Z 时，[][]a x a x +=+），求使得12100n b b b ++≤+L 成立的最大正整数n 的值．21．设双曲线2222:1(0,0)x y C a b a b-=>>的左､右焦点分别为12,F F P 是双曲线C 上的一点，且1212,⊥ F P F P PF F 的面积为4．(1)求双曲线C 的方程；(2)12,A A 分别是双曲线C 的左､右顶点，T 是双曲线C 上异于12,A A 的一个动点，直线12,TA TA 分别与直线12x =交于12,Q Q 两点，问以12Q Q 为直径的圆是否过定点？若是，求出此定点；若不是，请说明理由．22．若函数()(1)ln ,=--∈R f x x x ax a 有两个零点．(1)求证：0a <；(2)设0x 为函数()f x 的极大值点，1x 为函数()f x 的零点，且10x x <，求证：012+>x x ．。
2022-2023学年重庆市巴蜀中学校高考适应性月考卷(十)英语试题
2022-2023学年重庆市巴蜀中学校高考适应性月考卷（十）英语试题1. Frequently Asked Questions about AssessmentDoes it matter if my coursework is too long or too short?The word count for each piece of coursework should be provided on the title page. IOE allows a 10% margin(差额)on the word limit set for the coursework. For example, if the word limit is 5, 000 words, you can submit an assessment of between 4, 500 and 5, 500 words. Note that if your work exceeds (超出)the 10% margin, it will automatically fail.When is the deadline for coursework assignments?Final deadlines for coursework submissions are normally 2 calendar moths after the end of term in which the module runs. Coursework deadlines will be published on your programme webpage at the start of the academic year. The deadline for reports is normally the first working day in September. Note that you MUST submit your coursework by the deadline and that failure to do so in automatic fail.When will I receive the grade and feedback for my coursework?Your coursework and report are independently marked by two members of staff. Once the markers have agreed a grade, you will be informed of your results by the programme administrator. We aimto complete this process within 4 weeks of the submission deadline. Feedback and grades are not guaranteed within 4 weeks for extended, delayed, or resubmitted coursework. In special circumstances, you may apply for additional time to complete your coursework but must submit the evidence proving you are impacted by unforeseen factors. The time should be not later than two weeks before the original deadline.If you are in any doubt about the assessment, please contact the programme administrator.1. What results in an automatic fail?A．Exceeding the word limit.B．Not providing the word count.C．Missing the coursework deadline.D．Not publishing the coursework.2. What can you do if you have doubts about the feedback you received?A．Consult the programme administrator.B．Submit evidence to support your case.C．Revise your coursework based on the feedback.D．Contact the markers who provided the feedback.3. Where is this text probably taken from?A．A textbook. B．An exam paper.C．An academic article. D．A programme handbook.2. About15 years ago, Andrew McLindon, a business owner and passionate eyelist, was riding his bike in Austin, Texas, when he thought about a friend’s 12-year-old son. The boy had never known the joy of biking because he suffered from a brain condition that often caused balance disturbances.When he got home, McLindon, now 60, went online and found a three-wheel recumbent (侧卧的) bike with a seat belt, perfect for a child with balance issues. Soon the boy was cycling around the street with his peers, having fun and getting exercise. But there was more, as McLindon learned from his friend’s reaction. “To see his son interacting with other kids,” McLindon says. “I’ll never forget the smile on his face.”That smile launched the McLindon Family Foundation. Funded by donations, the group works with pediatric rehab (小儿康复) clinics to find children who can benefit from owning bike and to help craft each bike to the particular needs of the child. A bike may include a headrest, a shoulder band, a seat belt, and a careg iver’s steering and braking system in the back. The bikes are expensive — $3, 000 to $4, 000, and that’s with the foundation’s large discount. For kids lucky enough to get one, they’re a life changer.“We worked with a 14-year-old who had a back problem,” says McLindon. She spent most days on the couch watching TV. Soon after she got her bike, she was training for special-needs triathlons (铁人三项). In a magazine interview, she said, “I always knew there was an athlete me.”So far, the foundation has given a way 450 bikes, and that’s just a start. “I do a lot of things. I run a lot of companies.” McLindon says. “But getting these kids their bikes most important thing that I do.”1. What inspired Andrew McLindon to search for a special bike online?A．His enthusiasm for cycling.B．His ambition to start a new business.C．His goal to invent a new type of bike.D．His desire to help a boy with balance issues.2. Why was McLindon Family Foundation established?A．To sponsor special-needs triathlons.B．To raise money for pediatric rehab clinics.C．To provide adaptive bikes for disabled children.D．To offer a social network to children with special needs.3. What benefit can adaptive bikes bring?A．They can offer medical treatment.B．They can provide exercise and fun.C．They can relieve physical suffering.D．They can improve academic performance.4. What does McLindon think of his work with the McLindon Family Foundation?A．It is a worthwhile effort.B．It is a temporary solution.C．It is financially rewarding.D．It is technically challenging.3. Have you ever been in a situation where you couldn’t understand why someone failed to grasp what you were trying to explain? You thought the concept was so simple, and yet they didn’t seemto get it.You are influenced by “the curse of knowledge”. It’s a cognitive bias (认知偏差): once we learn something, we kind of lose the memory of not knowing it and the empathy (共鸣) for people who don’t know it.When we assume that others know what we’re talking about, communication breaks down. We become frustrated and angry at each other, which can lead to misunderstandings and arguments. The curse of knowledge can also make us feel superior to others, which damages our relationships and can create a negative atmosphere in our homes.Think of a time when you were only 4 and your parents were trying to teach you how to do single digit addition. You kept getting the answers wrong however much they guided. Finally, they shouted, “How come you can’t even solve such a simple question!” Your parents had forgotten what it was like not to know how to do addition, and couldn’t explain it to you in a way that you may have become frustrated or irritated with each other, which only added to the family conflicts.So, how can we avoid the curse of knowledge? One way is to empathize with others. Try to see things from their perspective and remember what it was like not to know that concept. Use everyday language and simple examples to explain complex ideas. This will help the other person understand and prevent miscommunication. Another is to ask questions. Ask the other person what they understand and what they are confused about. This can help you tailor your explanation to their needs and avoid assumptions that can lead to frustration.1. What does “the curse of knowledge” refer to?A．A memory problem that occurs while grasping ideas.B．A personal quality that makes people mean to others.C．A thinking error that results in a communication gap.D．A mental condition that prevents people from learning.2. What does the third paragraph talk about concerning the curse of knowledge?A．Its roots. B．Its effects. C．Its benefits. D．Its definition. 3. How does the author illustrate the curse of knowledge in paragraph 4?A．By giving a relevant example.B．By raising a personal question.C．By comparing it to a similar concept.D．By distinguishing it from a general theory.4. In which situation is the curse of knowledge most likely to be avoided?A．A teacher asks students for their feedback in class.B．A parent blames a child for failing to do a simple task.C．A doctor uses medical terms when speaking with a patient.D．A chef gets impatient when teaching a beginner how to cook.4. Sheep, camels, goats and other hoofed (有蹄类) animals are better at figuring out solutions to puzzles when they are less integrated into social groups.These individuals might be forced to find food, shelter and other needs on their own without group help, thus fuelling innovation, says Federica Amici at the University of Lipzig in Germany.“If you’re not well integrated into your social group, you can’t count on friends providing you with support or sharing resources with you, and you have to count on yourself much more,” says Amici. “It’s interesting that p roblem-solving skills appear to be quite an alternative social skills.”Amici and her colleagues wanted to consider how social groups affect individual animals’ capacity for innovation. They decided to concentrate on hoofed animals which live in widely varied social group structures and include both wild and domesticated species.The team worked with 1111 hoofed animals from 13 species, all living in zoos in Spain, France and Germany. The researchers observed each animal every 15 minutes for several days to determine how well it was integrated into the group. Then, the team placed a set of covered cups, filled with whatever food each species particularly liked, in the enclosure (围场) with the animals. Video cameras recorded their behaviour without humans present.Regardless of species, it was the less socially integrated individuals that were most successful at figuring out how to open the lids to get to the food inside the cups. It is possible that because these animals get left out of the group, they are motivated to find other ways to get food and other resources on their own, says Amici. Another possibility is that these individuals aren’t necessarily rejected by their social group. Rather, they choose to be alone because they figure things out on their own.Whether the findings apply to humans and other species is unclear. “It’s tempting to see a parallel with humans,” says Amici. “Individuals with high problem-solving skills may not be the most socially skilled people.”1. What can we learn about the less integrated hoofed animals?A．They can find shelter effortlessly. B．They possess alternative social skills.C．They rely on friends to solve problems. D．They have to find resourcesindependently.2. How did the researchers assess the social integration of hoofed animals?A．By measuring their intelligence. B．By monitoring their interactions.C．By analyzing their food preferences. D．By observing their hunting strategies.3. What does the underlined phrase “see a parallel with” in the last paragraph proba bly mean?A．Keep an eye on. B．Lend a hand to.C．Discover a similarity with. D．Form a partnership with.4. What is a suitable title for this text?A．The Puzzle-Solving Abilities of Hoofed AnimalsB．The Innovation of Social Skills in Hoofed AnimalsC．Solving Puzzles: The Key to Social Success in Hoofed AnimalsD．The Unsociable Advantage: Problem Solving in Hoofed Animals5. Awe (敬畏) is that feeling we get when something is so vast that it stops us in our tracks. Often, it expands our thinking, increases positive emotions and brings overall satisfaction in life. 1Most of us associate awe with something rare and beautiful: nature, music or a spiritual experience. But people can trigger awe too, and not just famous people, such as athletes or astronauts. 2 Psychologists call this interpersonal awe.Often, this interpersonal awe is a response to life’s big, sweeping charges, such as witnessing a baby’s first steps. For Lynn Heady, a retired educator, it’s watching a friend fight cancer and still embrace life. 3 John Bargh, a psychologist and professor, said he was truly awestruck by his then-5-year-old daughter. When she heard another child crying, she grabbed her toy, walked over toyer toy, walked over to the boy and handed it to him.4 But we can prepare ourselves to notice it when they do and take steps to boost the emotion’s positive effects. Here’s how:Blurting (脱口而出) out “Wow, that was awesome!” is a simple way to help you identify and remember a special experience. 5 Another way is to thank the person who awed you. This makes the other person feel good and can give your relationship a boost. And it helps you too: Studies show that people who practice gratitude have significantly higher levels of happiness than those who don’t.6. It was a dream born in fire. Andrea Peterson was 5 when she and her mother were _________on the balcony of a burning building.“Throw the kid down!” said one of the _________ below, and little Andrea _________ into lifesaving arms and a life-long _________:She wanted to fight fires.She told that to the firemen who had saved her, and they _________ good-naturedly, the way grownups do when a kid says he wants to be an astronaut or a sports star. “You’ll be a good teacher or maybe nurse, ” the firemen told her. “but you can never be a fireman.”And then, the obstacles life presented _________ her dream. Her husband, Dennis, was diagnosed with cancer. Peterson spent 31 years_________ Dennis. In 2007. when they both realized Dennis was coming to the _________ of his struggle. he was _________ but worried about her: “But what are you going to do?”“I’ll be fine, ” she told him. At 6l, she went on an ambulance ride-along and Peterson felt that__________ childhood calling. She __________her emergency medical technician license and responded to fire calls with the ambulance. She found that her years of caring for Dennis had__________ her for that.The fact that everyone else in her training unit was between 18 and 21 didn’t __________ her. She passed the tests and her dream became a reality.Peterson was __________. She knew that the window on her physical abilities wouldn’t stay open forever. __________ , “I did get my dream,”she said.1.A．hidden B．trapped C．relaxed D．seated2.A．residents B．onlookers C．firemen D．children3.A．leaped B．broke C．stole D．turned4.A．bond B．hobby C．ambition D．career5.A．escaped B．laughed C．refused D．nodded6.A．realized B．found C．revealed D．postponed 7.C．thinking of D．living with A．tending to B．complainingabout8.A．peak B．end C．glory D．aim9.A．at a loss B．at risk C．at a disadvantage D．at peace 10.A．long-ago B．newly-born C．down-to-earth D．heart-broken 11.A．presented B．suspended C．earned D．viewed12.A．educated B．involved C．pressed D．prepared 13.A．excite B．discourage C．shock D．interest14.A．realistic B．responsible C．curious D．talented15.A．Thus B．Instead C．Still D．Soon7. 阅读下面短文, 在空白处填入1个适当的单词或括号内单词的正确形式。
语法综合3(动词的时态和语态、非谓语动词)(测试3)(原卷版)
语法综合测试03（动词的时态和语态、非谓语动词）（考试时间：60分钟试卷满分：90分）一、单句语法填空(每题1分，共25小题，总分25分)1.（2024•山东省济宁市曲阜市第一中学高三上学期11月期中）The most standout element is the wide use of shadow plays (皮影戏) through the entire series. Shadow theater started to enjoy broad popularity as early as the Song Dynasty (960-1279), when holidays _________(mark) by the presentation of many shadow plays adapted from folk stories.2.（2024·海南省高三上学期11月学业水平诊断（一））Michael Heng Yee Boon is a second-generation Malaysian. When he was young, chicken rice (serve) only during Spring Festival, and his mother would make it into rice balls, which stand for “reunion” in Chinese. Having tasted Hainanese chicken rice in both Hainan and Malaysia, Heng says the dish is different in the two places because of different ways the dish is cooked.3.（2024届河北省石家庄市部分名校高三上学期三调）People (carry) on traditional festivals and customs here for hundreds of years up to now. During Chinese Lunar New Year, over 20 traditional performances (hold), including the dragon dance and suona horn show.4.（2024届江西省萍乡市高三上学期一模）The video (post) by the researchers on social media platforms on Oct 7 and immediately became a trending topic online. Zhang was even given the name of “the most powerful cleaning monk” by netizens, one of the characters in Louis Cha’s (金庸) novel Tianlong Babu.5.（2024·四川省攀枝花市高三第一次统一考试）Ancient Chinese people (believe) that, among all the virtues, only humility could bring them good fortune.6.（2024·四川省攀枝花市高三第一次统一考试）And the mulberry leaves should (choose) strictly as silkworms prefer fresh ones.7.（2024·河北省沧州市三县联考高三上学期11月月考）In the past few years, mobile phones (play) an irreplaceable part in our daily life. Without them, normal life was at a standstill.8.（2024·江西省景德镇市高三上学期第一次质量检测一模）One of the most impressive cultural activities is the Asian Games Aesthetics. It covers six categories: visual arts, literature, music, dance, drama, and film. The works of the Asian Games Aesthetics (display) in different venues and platforms, such as museums, galleries, theaters, cinemas, and online media.9.（2024届吉林省吉林市高三上学期一模）First-time visitors to Chengdu may find it to be a city with rich cultural heritage. The emblem(标志) of a gold leaf, featuring four flying birds surrounding the sun, can be seen everywhere in the city. The emblem, which represents Chengdu, (choose) as the symbol of China Cultural Heritage by the State Administration of Cultural Heritage in 2005.10.（四川省遂宁市2023-2024学年高三上学期11月期中）The salt-making process of the Song Dynasty(include)well-drilling, acquiring brine(卤水), drying brine, and frying salt. The deep drilling technique emerged as the development of the salt-making industry prospered.11.（四川省遂宁市2023-2024学年高三上学期11月期中）So far people in Daying (produce) salt for almost 1000 years.12.（2024届湖南省永州市高三上学期第一次模拟）The introduction into China of Central Asian-style flatbreads, like the kind used in roujiamo, in general, (owe) to Ban Chao, a Chinese general who spent over 30 years battling a union of nomadic(游牧的)tribes to regain control of the farthest western reaches of China.13.（2024届湖南省永州市高三上学期第一次模拟）Tongguan roujiamo, (name) after a town that, in days long past, gu arded a strategic pass roughly 120km east of Xi’an.14.（广东省六校2023-2024学年高三上学期第二次联考）In recent decades, people across China 42 (participate) in a wide range of mass fitness activities to celebrate National Fitness Day.15.（2024·重庆市高三上学期10月第二次质量检测）The earliest piece of guqin in China, unearthed in Hubei province, (date)back to the Zhou Dynasty. The body of a guqin is made of wood and the strings of silk. 16.（2024·山东省潍坊市（安丘、高密、诸城）高三上学期10月过程性检测）Born into a family of stone carvers, stone and alloy steel needles (be) Li’s best friends since childhood and the sound of chisel knocking on the slate is the soundtrack to her life.17.（2024·重庆市巴蜀中学校高考适应性月考（三））Fall marks cricket fighting season in China, a sport (believe) to date back more than a millennium. In recent years, it’s gained popularity with new generations.18.（2024·重庆市巴蜀中学校高考适应性月考（三））Two crickets ——always males are weighed to the closest hundredth of a gram and then paired off by weight class. They are placed in a clear plastic ring nearly the size of a dinner plate, with a dividing wall (separate) the two insects. A referee signals go time, then slides out the ring divider to let the bugs face off.19.（2024·重庆市月考）They demonstrated the ancient art form through a short performance. One of the actresses received a note from an audience member after the show, (tell) her how beautiful she was onstage andhow beautiful Kunqu Opera was.20.（2024·云南省名校第一次月考）To make air travel more accessible, Delta has developed a new convertible (可转换的) seat that allows individuals (remain) in their own wheelchairs while on board flights.21.（2024·陕西省安康市重点名校联考）The history of classical gardens of Suzhou can date back to the 6th century BC when the city was founded as the capital of the Wu Kingdom. Inspired by the royal hunting gardens (build) by the King of the State of Wu, private gardens began emerging around the 4th century and finally reached the top in the 18th century.22.（2024·山东省曲阜师范大学附属中学）There are 1, 209 artesian (自然流淌的)springs in Jinan,according toa list (publish) in September last year.23.（2024·江西省部分高中联考）(divide) into five sections, the long-running show is aimed(offer) art collectors and the general public alike an o pportunity to learn about China’s modern, contemporary print art and further explore the market value of prints, according to Liu Zehui, the person in charge of the show.24.（2024·黑龙江省齐齐哈尔地区普高联谊校月考）Wild pigs have been removed from a list of protected animals in China following economic losses (cause) by the animals in agricultural areas, along with increasing conflicts with residents. Experts said the decision to exclude wild pigs from the list was based on careful investigations, growing concerns about their rising numbers and the bad impact on agricultural production.25.（2024·黑龙江省齐齐哈尔地区普高联谊校月考）Villagers, (fear) that the wild pigs may unexpectedly enter their yards and cause harm, took radical (极端的) action. Documents made public by China Judgements Online showed that in 2019, a villager named Han from Zunyi, Guizhou province, used a high-voltage (高压) trapping device to capture a wild pig in an area where hunting was forbidden. He then sold the animal to another villager for 2,000 yuan. Han was caught by police while placing the trapping device in another location a few days later.26.（2024·黑龙江省齐齐哈尔期中）Statistics (release) by China’s Ministry of Education show that by 2021, the total number of full-time teachers in China exceeded 18.4 million.27.（2024·河南省新未来联考）As the door is pushed open, the sound floods the air and is suddenly overpowering, while a group of young people (dress) in multicoloured lion-shaped costumes jump into view.28.（2024·河南省新未来联考）They quickly move on the carefully arranged iron piles, fixed to the ground, of varying heights, while completing complex flips (空翻) and twists (旋转) (show) an extraordinaryperformance that shows the charm of local folk culture.29.（2024·山东省潍坊市（安丘、高密、诸城）高三上学期10月过程性检测）“On an A4-paper-size black slate, we need to chisel about 100 million dots (create) an image,” she continued, adding it would take 7 to 20 days to complete the work depending on its level of complexity.30.（2024届河北省石家庄市部分名校高三上学期三调）(cover) an area of 3.6 square kilometers, Huangyao has a history of nearly 1,000 years with its origins dating back to the Song Dynasty.二、阅读下面短文, 在空白处填入1个适当的单词或括号内单词的正确形式。
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巴蜀中学2019届高考适应性月考卷（二）英语参考答案第一部分听力（共两节，满分30分）1~5CACBA6~10CBCAB11~15ACACB16~20BBCBA第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）21~25ADCBA26~30CBDBD31~35CBAAD第二节（共5小题；每小题2分，满分10分）36~40AEBDF第三部分语言知识运用（共两节，满分45分）第一节（共20小题；每小题1.5分，满分30分）41~45BDCAC46~50CABAD51~55CDABD56~60ABCBD第二节（共10小题；每小题1.5分，满分15分）61．effective62．where63．identified64．named65．a 66．laboratories67．becoming68．constantly69．for70．is preserved第四部分写作（共两节，满分35分）第一节短文改错（共10小题；每小题1分，满分10分）Dear teachers and classmates，It’s∧great pleasure for me to be here today and shared my experience of learning English with①a②shareyou．Natural，it’s very important for us student to learn English well．As everybody knows it，③Naturally④students⑤vocabulary was an important part of a language，just like bricks in a building．So memorize words⑥is⑦memorizingshould be attached great importance to．However，it is strongly advisable to take part in some activities⑧Besides/Moreoverwhat English is used．Of course，you can also benefit to the resources in the library made available to⑨where⑩fromevery student．Thank you for your listening．第二节书面表达（满分25分）【参考范文】Dear Todd，I am Li Hua，chairman of the Students Union.Our school is going to host the First Chinese and Foreign Food Contest．Therefore，I am writing to invite you to be one of the judges on behalf of the school．As scheduled，the contest will be held next Friday starting at3：00pm on the second floor of the school canteen．There will be20contestants who are required to demonstrate Chinese or foreign cooking skills with a wide variety of raw materials provided by the school．Of course，the flavor should be the priority when a dish is judged．However，the meaning which the cook conveys in the dish shouldn’t be ignored．And the detailed rules for grading are elaborated in the form which will be given to you on your arrival．I am really appreciative of your presence．Yours sincerely，Li Hua【解析】第二部分阅读理解第一节A21．A事实细节题。
比较四处旅游目的地，只有A项讲述Hawaii因为火山喷发可能让旅客遭受危险，属于自然灾害。
其他选项都是社会问题如murder，robbery和terrorist attacks。
22．D事实细节题。
根据最后一段对Yemen的叙述，可直接选出D选项，文章并未交代不允许美国公民进入Yemen。
23．C推理判断题。
根据第一段的信息和每段的叙述，可以判定作者旨在给游客提出有用的建议，让游客能够避免潜在的危险，进而保护家人的安全。
B24．B细节判断题。
从文章最后一段最后两句“He’s not leash（皮带）trained in the sense that he’s going…”看出，Buddy并没有像其它猫那样，被拴了绳子，而是作为猫被平等对待。
25．A细节判断题。
从第三段第三行“We saw it as a way to rebrand cats and cat people…”看出，发起“Adventure Cats”这一活动是为了重新树立猫与主人的形象，改变人们对猫的刻板印象。
26．C细节判断题。
从第四段看出adventure cats可以在野外给予我们意想不到的帮助。
27．B主旨大意题。
文章主要围绕“Adventure Cats”这一活动，鼓励人们多让自家的猫出去活动。
C28．D事实细节题。
根据第一段和第三段的“The few wasp colonies that managed to survive this combination were then presented with ideal conditions formaximum growth rate：high temperatures，little or no rain and enough foodover an extended period．”可知long hot summer对黄蜂的大量繁殖起了关键作用。
【难句理解】It’s proving to be a good year for wasps（黄蜂）but numbers wouldhave been considerably below average were it not for the long hot summer．加粗部分为省略if的虚拟语气，相当于if it were not for the long hot summer，若表示对过去的虚拟，应为had it not been for…．翻译：今年对黄蜂来讲是一个好年头，但要不是夏天的炎热和持续时间长，黄蜂的数目可能会远低于近年的平均值。
29．B推理判断题。
根据倒数第二段“Like bees，they need sweet carbohydrates as their energy source…”可知B项正确。
30．D事实细节题。
根据最后一段“…so wasps will take the easy option whenever possible．What is better，then，than a picnic to provide a wasp with fast food？”可知黄蜂宁愿选择人们的picnic作为食物。
31．C推理判断题。
根据第四段“So with wasps in large numbers，how can you ensure they don’t ruin your picnic？”和最后一段内容可知，文章接下来最有可能讲述人们在野炊的时候怎样避免黄蜂。
故C项正确。
D32．B细节判断题。
从倒数第二段看出，人们喜欢犯罪小说原因之一就是“it places ‘puzzle-solving—making sense of what’s going on—at the centerof everything’．”。
33．A细节判断题。
从第三段第一句“it isn’t crime novels themselves that have taken off，but a particular type of crime novel：the psychological thriller．”看出，Wisdom认为不是所有的犯罪小说都流行而是犯罪心理小说才受人们的喜爱。
34．A词义推断题。
从后面对于“Murder on the Orient Express”这部作品的描述看出，应该是一部侦探小说。
35．D主旨大意题。
文章主要介绍了几位专家对于英国犯罪小说流行原因的分析。
第二节36．A考查过渡句。
A项中的“In addition to signaling a strong economy”表明了失业率下降所引发的一个结果，并联系后文“紧俏的劳动力市场改善了相关人群的工作前景”可知。
37．E考查主题句。
该段讲述了美国青少年就业率下降的原因：工作被其他活动所取代；进入劳动力市场的方式减少。
故E项正确。
38．B考查过渡句。
上一句讲述要去上大学的青年人的工作机会被其他活动所取代，此句讲述对于不去上大学的青年人来讲，工作机会更少，两者形成对比，用连接词but连接。
39．D考查解释性句。
上句中讲述“summer jobs play a big role”。
而D项“summer jobs for teens are important to their future prospects”就是对上句的进一步解释。
40．F考查过渡句。
上文讲述summer jobs对于改善青年人就业的作用，F项继续讲述summer jobs的作用，注意also的提示作用。
第三部分语言知识运用第一节41．B下句提到“我”亲身经历了这个事件，所以“我”对于上句提到的东西非常了解。
42．D得了重病之后，之前觉得很糟糕的人生现在看来还好，证明作者对于人生的看法发生了转变。
43．C rough艰难的。
44．A相比癌症而言以前觉得艰难的情况现在却是微不足道，宛如天堂。
45．C表转折，虽然癌症很痛苦，但是有家人和“我”一起共渡难关。
46．C fight做及物动词“与……相抗争”。