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解题方法
1 . 已知函数
,且
.若
时,
恒成立,则m的取值范围为___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f9631420660bf176b1fb4e111885b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172dd7f1d734264058036e70642d56ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b2379f8d97dac6f7ddf3f262968768.png)
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2 . 已知复数
,
.
(1)若
是纯虚数,求
的值;
(2)若
在复平面内对应的点在直线
上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed014d5a80e84ee06d459e8919fb495b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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456次组卷
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3卷引用:吉林省长春市东北师范大学附属中学净月实验学校2023-2024学年高一上学期期中质量监测数学试题
吉林省长春市东北师范大学附属中学净月实验学校2023-2024学年高一上学期期中质量监测数学试题江苏省扬州市第一中学2023-2024学年高一下学期5月教学质量调研评估数学试题(已下线)期末模拟卷(范围:人教A版2019必修第二册)-期末真题分类汇编(天津专用)
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3 . 下列命题中正确的是( )
A.若角![]() ![]() |
B.若角![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() |
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4 . 下列结论错误的是( )
A.若![]() ![]() | B.若![]() ![]() | C.若![]() ![]() | D.若![]() ![]() |
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解题方法
5 . 已知集合
,
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9ddcce740e6fcc8f28cc010c7ab74a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39ce1c0f05e5b7e49af8582a9deaa41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . (1)已知二次函数
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c292ad5ab432ba87d945d952ae84d2b8.png)
,且
,求
的解析式;
(2)已知
是
上的奇函数,当
,求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c292ad5ab432ba87d945d952ae84d2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac200a9106723cd0d4749339ea677e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed3f754a17f348f21dfc07fe729bcf60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
7 . 设
是定义在
上的奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5dca08f5a2f8b2729b8f857973b78af.png)
___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dd34c59cc6d24cfcda03c4425d7491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004ccc72ce2d293699c9ca7b0f600786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5dca08f5a2f8b2729b8f857973b78af.png)
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解题方法
8 . 已知二次函数
满足
,
,
(1)求函数
的解析式;
(2)求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c743c3e91a0cdd162d97273e3aef239.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f683648cd3c90fae77e1317b918eed68.png)
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9 . (1)求不等式的解集:
;
(2)已知不等式
的解集为
,不等式
的解集为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d178b04135a17bca9bfd9e2e13cc16c5.png)
(2)已知不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e011b337fdb8459ca5006b772136c039.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f90af9ba1a3d2362ecba6775e1d0030.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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10 . 已知
,不等式
的解集是
.若不等式组
的正整数解只有一个,则实数k的取值范围是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75acb206b8bef18b1539ae064d457f26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a1b1fdcdde97a8c9e9339b2f33c5d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9da57f7ffc9b3965e59f7f42ded80c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271f6fc3e10e2a97dd551bfb1cc7c5b2.png)
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