解题方法
1 . 已知函数
是定义在
上的奇函数.
(1)求
的值;
(2)若
,
,使得不等式
成立,求
的取值范围;
(3)若函数
的图象经过点
,且函数
在
上的最大值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ccf1c969ca6fa73760cceaef52411c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4156f2c3b26fd50e368a376717b4d1ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231ede79ce34d61a836a6a8d057a831e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258158f1db73dceef6fb9ba96bad6b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ee7e039c1c08600387a62066169c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d9c0d4f95cea72aeb251d9955e6b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f8021be4db58219154d2e055203d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 定义在
上的函数
满足
,且当
时,
.
(1)求
,
的值,并判断函数
的奇偶性;
(2)判断并用定义证明函数
在
上的单调性;
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40521e5866cd04cc04888b424719124c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad4c3cb38a5ce9b06167ce7217453d6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断并用定义证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f68c6ed09e483db6edf0b4caf5e252.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f41433bbdbb852b08b7401f3010964.png)
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解题方法
3 . 已知
.
(1)求
及
;
(2)若
,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9a7de5b70003502e40b95b3b7d3d933.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850dba25bf0f5f13541bf9b6ec12b84d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3daa31b2f5ff0e01b5d20935d54de04.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc282dae4ac9132196ac5d13f63b901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/809b2b0bf2d1ea269d65d066ffe951d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c711885ba609af63b3f02b7074914ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5438613cda89232a531a69da49dee747.png)
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4 . 计算下列各式的值:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f326161fa2faefdf0ddb2a4ef03fb4bb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c31e391a0cf8b63874a0fca6710107.png)
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5 . 已知函数
的最小正周期为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d246b98e568bbd60a0a385b29c39c5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
A.![]() |
B.![]() ![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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解题方法
6 . 下列说法正确的是( )
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
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7 . 若
,则下列不等式成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd83f319fc5f78f83d93751ef4edcbe.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 市场调查机构通过大数据统计发现:一棵某种水果树的产量
单位:百千克
与肥料费用
单位:百元
满足关系
,且投入的肥料费用不超过
百元
此外,还需要投入其他成本
如人工费等
百元
已知这种水果的市场售价为
元
千克
即
百元
百千克
,且市场需求始终供不应求
记该棵水果树获得的利润为
单位:百元
,则
有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d887187fab893eaa67e686519bbaec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/285912b40e1dce8bfc029df88115c961.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025e79c30cb8d4d3405e0794ffe0f5fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/129ea21d4a4afe7384c81b1a528f38bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4333bb203d02814c146ed587b69ea69d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4333bb203d02814c146ed587b69ea69d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a02fbe661b68fe17714ed85f3553fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.最小值![]() | B.最大值![]() |
C.最小值![]() | D.最大值![]() |
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解题方法
9 . 已知
且
,则函数
与
在同一直角坐标系中的图象大致是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b6d73728f27779fe78c240172115e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0541aefe363fdbf1aed069e58803b5d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028f0211dc544fddf0a593996177c613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f57d3f44572b1aacae38f8b3684bde29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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