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高二第二学期期中考试数学试题（理科） 一、选择题（每小题5分，共60分） 1、复数1i i -的共轭复数的虚部为（ ） A .1 B .1- C .12 D .12 - 2、若2133a dx a a =-+?，则实数a =（ ） A .2 B .2- C .1 D .1- 3、化简()()()()()()6 5 4 3 2 16115120115161x x x x x x -+-+-+-+-+-的结果 为（ ） 6.6A x 6.B x 6.1C x - 6.1D x + 4、函数()f x 的定义域为开区间(),a b ，导函数()f x '在 (),a b 内的图象如图所示，则函数()f x 在开区间(),a b 内有极小值点（ ） A .1个 B .2个 C .3个 D .4个 5、曲线21ln 3y x x =- 在点1ln 32? -?? 处切线的倾斜角的大小为（ ） .0A o .45B o .30C o .135D o 6、如图，某人需从A 地到达B 地,图中的实线部分为可行路线， 则路程最短的走法有（ ） A .15种 B .20种 C .25种 D .30种 7、已知()3f x x ax =-在[)1,+∞上是增函数，则实数a 最大值 是（ ） A .0 B .1 C .2 D .3 8、4位同学从甲、乙、丙3门课程中选修一门，则恰有2人选修课程甲的的不同选法共有（ ） A .12种 B .24种 C .30种 D .36种 9、已知33y x x c =-+的图象与x 轴恰有两个公共点，则c =（ ） A .2-或2 B .9-或3 C .1-或1 D .3-或1 10、学校计划在5天里安排三节不同的选修课，且在同一天安排的选修课不超过2节，则不同的选修课安排方案有（ ）. A.60 种 B.110种 C.40 种 D.120种 11、已知函数()f x 是定义在R 上的奇函数，且当(],0x ∈-∞时 ， A B