名校
解题方法
1 . 设
,当
时,
恒成立,则实数m的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c50089abe8787f81e3a551d4dd4fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aef458f2367b76432719f6f56275d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/379acc7c04f1f850ef3a77cc84a39861.png)
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解题方法
2 . 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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名校
解题方法
3 . 已知函数
与函数
的图象交于点M、N、P,此三点中最远的两点间距离为
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c59edb3816701d0f20ae220ceaead4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e411c40294d175e836e2ec964a6942c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50690dab38f4512eb72e18b7f86cf6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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解题方法
4 . 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
5 . 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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6 . 函数
的图象向右平移1个单位长度,所得图象与
关于y轴对称,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae1b87c23b45ce5e5e74d5b1d73234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
7 . 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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2024·全国·模拟预测
解题方法
8 . 已知函数
,则
与
的图象交点的纵坐标之和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055b54f9303da1b646d763431dab1c1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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名校
9 . 已知
,
,则下面正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a750da7046224505f03d1abf0656d1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a44bd6e43352da6cf15655ec4748432.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
10 . 设方程
和方程
的根分别为
,设函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8f49b7d630d00d334ed62b73802f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6c50e429b24fa56138ee0b1d87b115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cd5371a6f0f82c65dd22f75f8b807c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1cbb3ccb3b62f3b8cb5eb0071513ef.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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