高二数学答案第 1 页 共 4 页(数学是有生命的,题目是有经典的)2019-2020 学年度第一学期期中学业水平检测高二数学参考答案一、单项选择题:本大题共 10 小题,每小题 4 分,共 40 分。1 10:A C B D BC D AA B二、多项选择题:本大题共 3 小题,每小题 4 分,共 12 分。11.ABC;12.ACD;13.ABC;三、填空题:本大题共 4 个小题,每小题 4 分,共 16 分。14.28xy ;15. 5 ;16. 48;17. 3 51 ;四、解答题:共 82 分。解答应写出文字说明,证明过程或演算步骤。18.(12 分)解:(1)设等差数列{}na的公差为 d ,因为326aS,所以11126adaad,············································· 2 分所以12ad···························································································· 4 分所以数列{}na的通项公式为:2(1) 22nann*(N )n····························6 分(2)由(1)知:2211(1)(1)(21)(21)2121nnnbaannnn··············9 分所以11211121121...5131311nnnTn································ 12 分19.(14 分)解: (1)直线 PQ 的斜率133k , PQ 中点坐标为 13()22,,所以 PQ 中垂线方程为313()22yx,即3yx···································· 4 分由3yxyx得,圆心(0,0)C,所以|| 2rCP所以圆C 的标准方程为:224xy·······························································6 分(2)当该直线斜率不存在,即直线方程为2x 时,成立···································· 8 分当该直线斜率存在时,设其方程为:1(2)yk x ,即210kxyk ··········10 分因为该直线与圆C 恰有1个公共点,所以圆心到直线距离21 221kdk,得34k ·················...