名校
解题方法
1 . 下列命题错误的是( )
A.已知函数![]() ![]() ![]() |
B.函数![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.已知函数![]() ![]() |
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2 . 已知
是定义在
上的奇函数,当
时,
,函数
,如果对于任意
,存在
,使得
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bb7883ea87e6275472dbe14ee62357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d900b106c2b44b211c60b0ba9c2cf6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1014442cab52c591abba3519d912d83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1647deca74be1346f76ac07382917b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204e6006eacca1a448fe6991f3c121f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347ac85769012f89d1f9951684e1d7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知函数
,
且
.
(1)若
,求不等式
的解集;
(2)若
,令
,若对一切实数
,不等式
恒成立,求实数
的取值范围;
(3)若
,试确定
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f289862f955d78d7b7a9f690d46b6544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/156ae979b26b86d8bf54212b47336432.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b046fa14312a1dfa0a8a9da1de08525a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e158f84423db928d56afe4d94c83eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90418d124a68d162a5ead1900cba6fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . (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
5 . 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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6 . 已知函数
,则
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834751c8412699c179f58d2aa06169fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e71302c92b4d66e79f4a5f756d931c6.png)
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解题方法
7 . 下列命题中正确的是( )
A.已知函数![]() ![]() ![]() ![]() ![]() |
B.已知定义在![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.函数![]() ![]() ![]() ![]() ![]() |
D.函数![]() ![]() ![]() |
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8 . 设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d04d73c5b02fc71dabeec66648fc1601.png)
___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1284100efe4c4d14fe1c20afcb70f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d04d73c5b02fc71dabeec66648fc1601.png)
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9 . 下列说法错误的是( )
A.已知命题![]() ![]() ![]() ![]() |
B.“![]() ![]() |
C.已知![]() ![]() ![]() |
D.已知![]() ![]() ![]() |
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解题方法
10 . 下列各组函数表示同一函数的是( )
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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