1 . 已知函数
.
(1)若
,求
的取值范围;
(2)若
有两个不相等的实根
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
①求
的取值范围;
②证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfe72da09a3c70855e5481e5c8eaf80.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a1b101171cf52faf2e3e53d6725aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
②证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd25b0aac17082018e89b67803cd6a1.png)
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2 . 下列各组函数表示同一函数的是( )
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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3 . 解不等式组
并把解集在数轴上表示出来.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0052df8b5a924df8e327c60b76f8a11.png)
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名校
4 . 已知函数
,若函数
有四个不同的零点
(其中
),则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b9daa193e11ff98cf70507f1ed30992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0384a0466920e5bf00231a5c5bf77969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe305a0610c21bae9bbc73a95a2ed4ae.png)
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5 . 函数
的零点是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c3fe29090f8c001458a1ea03aa358d.png)
A.0 | B.1 | C.2 | D.![]() |
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解题方法
6 . 如图,已知函数
的图象与函数
的图象关于直线
对称,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac380bc92fe0d36dec76da42a864188f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f1c47c6710e588cc88b19488e5344e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.0.5 | B.1 | C.1.5 | D.2 |
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名校
7 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceae9b4c453cd8a5f6d0ee5f45a56930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfac676da4f5b936183b13942f3ca5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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解题方法
8 . 已知
,且函数
在
上是增函数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b480e768a0e6c8906afc6ff8bbe9696a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5a34b07957dc837d8cd933dc246096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.![]() | D.3 |
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9 . 已知集合
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb2f64356f0dd3e42da768d55b7f051.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0909f3c99df9031a14397cf8c7673b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca3af1c9be8b4e4556332bdeb966570b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.0 | B.1 | C.2 | D.4 |
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名校
解题方法
10 . 设
是定义在R上的奇函数,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba6f464aa447524ec2e4183abb6e64f.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6284a8a1ae089cc4878af14be3693c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba6f464aa447524ec2e4183abb6e64f.png)
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