1 . (1)计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8155ec3850878698f81f6a90fa95254a.png)
(2)已知
=5,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8155ec3850878698f81f6a90fa95254a.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79fe1c75f72b0587b4b3b64a92b94ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757eb3f55cff1e6fef064db4efae9e28.png)
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解题方法
2 . 已知函数
且
是定义在
上的偶函数,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8049837b581eea57526eee3a072433f6.png)
(1)求
的解析式;
(2)判断函数
在
上的单调性,无需证明;
(3)对于任意
,存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5ccda8a393ea6b3f4896e911628d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8049837b581eea57526eee3a072433f6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b029e85e686623cdef977b2cb1f207a.png)
(3)对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f9d255ca420fa2486b11fcb7763b44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c5d88111cd104809232b485a3a849f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4340dc9ab24ed21ac89b17c53c7491d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-11-26更新
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3 . 计算下列各式的值.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8340b97519075f0b02548fee7b459195.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b81ec927396ad0c643093e4ae2386e9b.png)
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2021-11-24更新
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4 . 设全集为
,集合
.
(1)求
;
(2)已知集合
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e68ea1f9f989669ec3f1438bd15e06.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a56eb864b1a684c36d58ac8f9e3ea24.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfada98e40a195f68b1ed752a386ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7893cdb324f5378417c1977ce17667a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . (1)化简:
;
(2)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d654f9bf87ff693b964a12170f594a08.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c4e874cbfb74eaeb031bd04f54a6a1.png)
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6 . (1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd11280109eb86a5acb8bcd91d62f51.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e47e0c7bd1ade6447d6546235aad6212.png)
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7 . 1.化简:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2867eb8c1fe8bd351b76a07cc61263f.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2867eb8c1fe8bd351b76a07cc61263f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec03b5287130e940215a197acedfd39.png)
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2021-11-08更新
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8 . 计算下列各式的值.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef4fdc5ea99e6089eb0746002a4c82a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16064d45e935d11f9dbe93c7ce1263a.png)
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9 . 已知函数
,其中
为奇函数,
为偶函数.
(1)求
与
的解析式;
(2)当
时,
有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76262040490d4b828bd34766db081c24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a216d7ac1d86bd6484139daf48a99e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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10 . 定义在
上的奇函数
满足:当
时,
.
(1)求
的解析式;
(2)当
时,求
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc6461140a9bbd04dbf327ed3f3ee7d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538193a4717d564c01145e82314c2d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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