湖北省武汉市常青联合体2023-2024学年高二下学期期中考试数学试卷答案

3.0 envi 2024-12-16 4 4 2.01MB 4 页 3知币
侵权投诉
1
2024 学年度第二学期期中考试
数学试卷参考答案
一、单选题
1. B 2.D 3.C 4.C 5.B 6.C 7.D 8.B
二、选择题
9. ACD 10.ABD 11.ABD
三、填空题
12.9 13. 14.
四、解答题
15.(1) 由 ,得 ,········································································································································2 分
于是 ,
整理得 ,解得 ,················································································································5 分
所以 .······································································································································································································································6 分
(2)原方程变形为 ,即 ,显然 ,························9 分
因此 ,
化简整理,得 ,···········································································································································································12 分
而 ,解得 ,所以 .··························································································································································13 分
16. (1)二项式 展开式的通项公式为
( ).························2 分
因为第 项和第 项的系数比为 ,所以 ,
化简得 ,解得 ,················································································································································4 分
所以 ( ).
令 ,得 ,·············································································································································································6 分
{#{QQABBQQAgggoQIJAABhCUQHwCAGQkBACCKoGxBAEIAIBiANABAA=}#}
2
所以常数项为第 项.······························································································································································································7 分
(2)设展开式中系数最大的项是第 项,
则 ,·····························································11 分
解得 .·······················································································································································································································13 分
因为 ,所以 或 ,所以展开式中系数最大的项是第 项和第 项.·············15 分
17. (1)由 ,得 ,
令 ,则 ,解得 ;·······································································································································································1 分
当 时, ,
所以 ,所以 ,··········3 分
所以当 时, ,
有 ,········································6 分
又 满足上式,
所以 ,得 ,
所以数列 是首项为 0，公差为 1 的等差数列.·······················································································································8 分
(2)由(1)知 ,所以 ,····································································································9 分
所以 ,
故 ,
两式相减,得
{#{QQABBQQAgggoQIJAABhCUQHwCAGQkBACCKoGxBAEIAIBiANABAA=}#}
湖北省武汉市常青联合体2023-2024学年高二下学期期中考试数学试卷答案.pdf

共4页,预览2页

还剩页未读， 继续阅读

相关推荐

更多
立即下载
作者：envi 分类：分省 价格：3知币 属性：4 页 大小：2.01MB 格式：PDF 时间：2024-12-16

开通VIP享超值会员特权

  • 多端同步记录
  • 高速下载文档
  • 免费文档工具
  • 分享文档赚钱
  • 每日登录抽奖
  • 优质衍生服务

作者详情

相关内容

更多

推荐作者

热门标签

大联考 高考地理 英语真题 听力 语法填空 石家庄 数学竞赛 读后续写 英语阅读 深圳中学
/ 4
评分 收藏
分享
立即下载
客服
关注