河南省驻马店市2019-2020学年高一下学期期末考试数学（理+文）试题（PDF版）

高一数学（文）第 1 页 共 4 页 驻马店市 2019～2020 学年度第二学期期终考试 高一（文科）数学试题参考答案 一、选择题：1-12：ABCBC DDAAB CC 二、填空题：13. 1 14. 396  15. 36 11 16. 3 三、解答题： 17. 解： （Ⅰ） 11 1,// 21 teeba 由不共线且 ,····················································································2 分 1: t解得 ;·······························································································································4 分 （Ⅱ）依题：令 ) 2 3, 2 1(),0,1( 21  ee ， 若 2t ，则 3,3), 2 3, 2 3(), 2 3, 2 3(  baba ，·············································6 分 设 ba, 的夹角为 ),0(   ，可得： 2 1 3 4 3 4 9 cos      ba ba ，解得： 3 2  ，······························································9 分 故所求 ba, 的夹角为 3 2 .········································································································10 分 18.解： （Ⅰ） （Ⅱ） 分63 60sin2 10cos 10cos60sin2 10cos )1060sin()1060sin( 10cos 50sin70sin           分123 40cos )3010cos(3 40cos 10sin 2 310cos 2 3 40cos )1030sin(10cos2 40cos 40sin80sin2 40cos 40sin40cos50cos4 40tan50cos4                  高一数学（文）第 2 页 共 4 页 19.解： （Ⅰ）由已知数据得： 414.2 7 9.16,4  yx ，·······························································2 分   354.0 9410149 414.2475.77 7 7 1 2 7 1            i i i ii xx yxyx b ,··················································5 分 998.04354.0414.2  xbya ，············································································7 分 所以， y关于 x的回归方程为： 135.0  xy ;···································································9 分 （Ⅱ）把 16x 代入回归方程得： 6.611635.0 y ,····················································10 分 所以预测 2月 16 日全国累计报告确诊病例数为 6.6 万人.················································12 分 20.解： （Ⅰ）由所给图像知； 2 312 5 2 3 4 3,2         TA ， )2cos(2)(  xxf ，把点 )2, 12 5(  代入得： 1) 6 5cos(  ， 即 Zkk  ,2 6 5  ，又 6 5,   ， ) 6 52cos(2)(  xxf