广东省东莞市2021-2022学年高一上学期期末考试数学试题答案

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2021－2022 学年度第一学期教学质量检查
高一数学 参考答案
一、单项选择题
题号 1 2 3 4 5 6 7 8
答案 C C A B B A B D
二、多项选择题（全部选对的得 5分，选对但不全的得 2分，有选错的得 0分）
题号 9 10 11 12
答案 BC AC AD BD
三、填空题
13. 14. 1000 15. 示例： （答案不止一个） 16.
四、解答题
17．解：（1）方法一：令 ，得 ，故 ；······························2 分
令 ，得 ，故 .··························································3 分
同理，令 ，得 ，故 ；············································4 分
令 ，得 ，故 .··················································5 分
方法二：由题意得 ， ···························2 分
又 ，故 ， ；··································································3 分
，.···········································································5 分
（2）方法一：由（1）得 ， ，故 ；··········································6 分
又 ， ，
由 ，得 ，故 ，·································································8 分
所以 ，都有 ，即 ，····································································9 分
又 ，
所以 .·····································································································10 分
方法二：由题意得 ，··································7 分
,······················································8 分
因为奇数集是整数集的真子集，···········································································9 分
所以集合 B是集合 A的真子集，即 .·····························································10 分
18. 解：（1）方法一： ····················································3 分
.························································································5 分
方法二： ，且 ，····························································2 分
解得 ， ，···········································································4 分
所以 .············································································5 分
（2）方法一：因为 ， ，所以 ，··································6 分
所以 ，·······························································7 分
所以 ·····································8 分
.···············································································9 分
方法二：因为 ，·············6 分
即 ，·······················································································7 分
又 ，且 ，·····································································8 分
解得 .··································································································9 分
因为 ， ，所以 ， ，··········································10 分
所以 ·························································11 分
.························································································12 分
19. 解：（1）①当 即 时， ，则 ，·············2 分
②当 即 时， ，则 ，························3 分
故 ··········································································4 分
图象如下：
·····················································································································6 分
（2）方法一：由（1）得，当 时， ，

标签： #数学

摘要：

2021－2022学年度第一学期教学质量检查高一数学参考答案一、单项选择题题号12345678答案CCABBABD二、多项选择题（全部选对的得5分，选对但不全的得2分，有选错的得0分）题号9101112答案BCACADBD三、填空题13.14.100015.示例：（答案不止一个）16.四、解答题17．解：（1）方法一：令，得，故；······························2分令，得，故.··························································3分同理，令，得，故；···························...

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作者：水岸东方 分类：高中 价格：免费 属性：6 页 大小：417.56KB 格式：DOCX 时间：2026-01-10

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