解题方法
1 . 如图是函数
的部分图象,则
的解析式为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/a4732e68-cf7b-4b4c-a00f-bc3ee62010f0.png?resizew=178)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/a4732e68-cf7b-4b4c-a00f-bc3ee62010f0.png?resizew=178)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
2 . 已知函数的图像过原点,且
.
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda37761b59f8d1d63ebf43525b0f59d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a20457d180264f78d611dc7893d735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36f7ab55b63c08280a41fb64366b819.png)
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解题方法
3 . 设函数
的定义域是
,对于任意实数
,恒有
,且当
时,
.
(1)求证:
,且当
时,有
;
(2)判断
在
上的单调性;
(3)试举出一个满足条件的函数
,并说明举例的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ac82501b461d044f78e7ae5b86cd3c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5456d544e2f8d22c08f3ccee002dad4a.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61c9a7ed0961f8977a21dab37aab396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(3)试举出一个满足条件的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023高三·全国·专题练习
解题方法
4 . 已知函数
是偶函数,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90cb974876665ca158e3349ffaf3cb5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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解题方法
5 . 已知函数
若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2714f1eb0e74a1a31fa2c35275d368e1.png)
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845c054f6a0bd34c1ad6d946def1eca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2714f1eb0e74a1a31fa2c35275d368e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176b87270cb69d82a9b1023430167313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f31227a9795a5f55aee1e814a42e856b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-06-15更新
|
289次组卷
|
3卷引用:江苏省扬州市2022-2023学年高一下学期开学考试数学试题
解题方法
6 . 函数
的大致图象是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cccc958eabf3d9f5209902c1cb2cb10.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 已知函数,则( )
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() |
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解题方法
8 . 已知函数
为奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a22e690299d0bf8a5597f49e5a8b05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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名校
解题方法
9 . 若
,
,
,则a、b、c三个数的大小关系式( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3246b612034b016460a9567a0f235d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b639909461543a89d30fe5444daf2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c04719ca2cc8f8543c46c0ccf130b47.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2021-08-23更新
|
930次组卷
|
5卷引用:湖北省黄石市有色一中2020-2021学年高一下学期期中数学试题
19-20高一·浙江·期末
10 . 已知函数
.
(1)若函数
为奇函数,求
的值,并求此时函数
的值域;
(2)若存在
,使
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faae4829a2c7ade7319ba76b5b5c2f3a.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b0c34c4a6e7be6f08ef7b7829c4b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1540b6b10f07a867618a1eec02e2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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