【全国百强校首发】湖北省武汉二中2016-2017学年高一下学期期中考试数学(文)试题
试卷第1页，共5页
绝密★启用前
【全国百强校首发】湖北省武汉二中、麻城一中2016-2017
学年高一下学期期中考试数学（文）试题
试卷副标题
考试范围：xxx ；考试时间：66分钟；命题人：xxx
学校:___________姓名：___________班级：___________考号：___________
注意事项．
1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上
第I 卷（选择题）
一、选择题（题型注释）
1、已知等差数列{a n }的前n 项和为S n ，a 5=5，S 5=15，则数列
的前100项和为
A ．
B ．
C ．
D ．
2、在各项均为正数的等比数列｛a n ｝中，a m+1a m-1=2a m (m ≥2)，数列｛a n ｝的前n 项之积为T n ，若T 2m-1=512，则m 的值为（ ） A ．4 B ．5 C ．6 D ．7
3、如图在ABC 中，B =45，D 是BC 边上一点D ，AD =5，AC =7，DC =3，则AB =（ ）
试卷第2页，共5页
A ．
B ．
C ．
D ．
4、设
，
=
,C U A =
,则m 的取值范围是（ ）
A ．[0， )
B ．{0} (，+)
C ．(-，0]
D ．( -，0] (，+
)
5、对
ABC 有下面结论：①满足sinA=sinB 的
ABC 一定是等腰三角形②满足
sinA=cosB 的三角形一定是直角三角形③满足 ==c 的ABC 一定是直角三
角形，则正确命题的序号是（ ）
A ．①②③
B ．①②
C ．②③
D ．①③
6、正项等比数列｛a n ｝中，存在两项a m ，a n （m ，n
）使得a m a n =16a 12，且a 7=a 6+2a 5，
则+
的最小值为（ ）
A ．5
B ．6
C ．7
D ．8
7、设等差数列｛a n ｝的前n 项和为S n ，且满足S 17>0，S 18<0，则取最大值时，的
值为（ ）
A ．7
B ．8
C ．9
D ．10
8、已知x>y>z ，x +y +z =0，则下列不等式成立的是（ ） A ．xy>yz B ．xz>yz C ．x|y|>z|y| D ．xy>xz
9、关于x 的不等式ax-b>0的解集是（1，+），则关于x 的不等式（ax+b ）（x-2）>0
的解集是（ ）
A ．（1，2）
B ．（-1，2）
C ．（-，-1）
（2，+
） D ．（-，1）（2，+
）
20162017学年湖北省武汉二中高一(上)期末数学试卷
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A．0 B．﹣2 C．1 D．﹣4 9．（5分）已知函数f（x）=asinx﹣bcosx（a，b为常数，a≠0，x∈R）在x=处取得最大值，则函数y=f（x+）是（） A．奇函数且它的图象关于点（π，0）对称 B．偶函数且它的图象关于点（，0）对称 C．奇函数且它的图象关于点（，0）对称 D．偶函数且它的图象关于点（π，0）对称 10．（5分）将函数y=sin（x﹣）的图象上所有点的横坐标伸长到原来的2倍（纵坐标不变），再将所得图象向左平移个单位，则所得函数图象对应的解析式为（） A．y=sin（x﹣）B．y=sin（2x﹣）C．y=sin x D．y=sin（x﹣）11．（5分）函数f（x）=2sin（2x+），g（x）=mcos（2x﹣）﹣2m+3（m＞0），若对任意x1∈[0，]，存在x2∈[0，]，使得g（x1）=f（x2）成立，则实数m的取值范围是（） A． B． C． D． 12．（5分）已知函数f（x）=e x﹣e﹣x+4sin3x+1，x∈（﹣1，1），若f（1﹣a）+f （1﹣a2）＞2成立，则实数a的取值范围是（） A．（﹣2，1）B．（0，1） C．D．（﹣∞，﹣2）∪（1，+∞） 二、填空题 13．（5分）若α+β=则（1﹣tanα）（1﹣tanβ）的值为． 14．（5分）已知函数f（x）是定义在R上的奇函数，且当x＞0时，，则f（﹣2+log35）=． 15．（5分）一个匀速旋转的摩天轮每12分钟转一周，最低点距地面2米，最高点距地面18米，P是摩天轮轮周上一定点，从P在最低点时开始计时，则14分钟后P点距地面的高度是米．
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武汉二中高一年级下学期期末考试数学试卷(理科)及答案
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武汉二中高一实验班数学周练(十八） 一、选择题: 1. 函数y=cos(x －32π)·sin(x －6 5π )是( ) A. 周期为π的非奇非偶函数 B. 周期为2π的非奇非偶函数 C. 周期为π的奇函数 D 。 周期为π的偶函数 2。 当－2π≤x ≤2 π 时, 函数f （x ）＝sinx+ 3cosx 的（ ） A 。 最大值是2, 最小值是－2 B 。 最大值是2, 最小值是－1 C 。 最大值是1, 最小值是－1 D 。 最大值是1， 最小值－ 2 1 3。 在△ABC 中， cos2A ＞cos2B 是B ＞A 的（ ） A. 充分非必要条件 B 。 必要非充分条件 C 。 充要条件 D. 既非充分又非必要条件 4. 下列命题中真命题的个数为（ ) ①若｜a |=|b |， 则a =b ②若A 、B 、C 、D 是不共线的四点, 则＝是ABCD 为平行四边形的充要条件 ③若a =b ， b =c , 则a =c ④两向量a ， b 相等的充要条件是｜a |=｜b ｜且a ∥b ⑤|a |=｜b |是向量a =b 的必要非充分条件 ⑥的充要条件是A 与C 重合, B 与D 重合 A 。 1 B 。 2 C. 3 D 。 4 5。 已知一点O 到平行四边形ABCD 的三个顶点A 、B 、C 的向量分别a ， b , c ， 则向量 OD 等于（ ) A. a －b +c B. a +b +c C 。 a +b －c D. a －b －c 6。 已知向量a ， b , 且AB ＝a +2b , BC =－5a +6b , CD =7a －2b , 则一定共线的三点是( ） A. A ， B ， D B. A, B, C C. B ， C ， D D 。 A ， C, D 7. 已知向量集合M ＝{a |a =(1， 2）+λ(3， 4)， λ∈R ｝, N={a |a =(－2， －2）+λ（4， 5）， λ∈R ｝, 则M ∩N ＝（ ) A. {（1， 1）} B 。 {(1, 2）， (－2， －2）} C. Φ D. {(－2， －2)｝ 8。 设点P 分有向线段21P P 所成的比为λ, 且｜21P P ｜＝3｜P P 2|， 则λ的值为（ ) A 。 4或－2 B 。 －3或1 C. 3或1 D 。 －4或2 9. 若向量a 与b 的夹角为60°， |b |＝4， (a +2b ）·(a －3b )＝－72， 则向量a 的模为 A. 2 B. 4 C. 6 D 。 12 10. 已知向量OP ＝(2， 1）， OA =(1, 7）， OB =(5, 1)， 设X 是直线OP 上的一点， (O 为坐标原点）, 那么XA ·XB 的最小值是 A 。 －16 B. －8 C. 0 D. 4 二、填空题：
2019年湖北省武汉市中考英语真题卷及答案
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