解题方法
1 . 已知函数
定义域为
,且函数
与
均为偶函数,当
时,
是减函数,设
,
,
,则a,b,c的大小关系为( )
![](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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e81e15b871dd32b2438ef8025bcc42d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0cd25953d3ae11d09a97e04abba27cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e23ebe040925723afd72636d468480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921592a423a54329d9b2e0708bbcda4e.png)
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解题方法
2 . 已知定义在
上的函数
,
,其导函数分别为
,
,
,
,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8912189f5dfbf42b1ea554119128c728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0befdc44bb199355c49dd2d6ec9965dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293ea148ee3639536c8fdf1880d314e1.png)
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解题方法
3 . 设函数
的定义域为R,
为奇函数,
为偶函数,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d75d78903bd1fe1334b87a159deff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6c79e24a717a8cf46aa75d3437a9e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51459b19f03662079f9b08d47375683c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0bbec4f3caec14801bac08683d0f331.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.方程![]() |
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解题方法
4 . 已知函数
及其导函数
的定义域均为
,记
,函数
的图象关于点
对称.若对任意
,有
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c765461ae1a6c70f5cbdcb6c932a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb8a26ff8e5fd2a9887010217104f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ff15f569e328b5df29040ebe788753.png)
A.![]() | B.![]() ![]() |
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名校
解题方法
5 . 已知函数
及其导函数
的定义域均为R,若
是奇函数,
,且对任意
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aab45a72f14c60ed311f050a11dd361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c02b0800a67b502e2560459c326a07b.png)
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名校
解题方法
6 . 已知奇函数
的定义域为
,
,且
,则
在
上的零点个数的最小值为___________ .
![](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/4ecf1858a5747cddd219367b4101ae7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec65a2bec3d4296c613a80b3ae41d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd52ef062e1934be348f2309946b1f3f.png)
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2卷引用:河北省秦皇岛市青龙满族自治县第一中学2024届高三下学期5月模拟考试数学试题
名校
解题方法
7 . 已知偶函数
满足
,且在区间
上是减函数,则
,
,
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a294ac176a455e749d73aedb6eb7f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9347bb4ffedcbea2f4c16d047a138d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b52d15c2861aa75bef614dc338fba7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/713df5bb4da43b175f6aab2b9753bb79.png)
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解题方法
8 . 已知函数
的定义域为
为
的导函数,且
,
,若
为偶函数,则下列一定成立的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84058210014e6e4a270896ca3ac8b44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26085e18adbb6e846518100923aac4a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c2c2cf72d6cdcc5a3b8cc5b4fe4c39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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2024高三下·全国·专题练习
9 . 函数
满足
,且当
时,
,则函数
的零点个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff64b0bbf5a87d35525589cbabf0c48d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75ab638f9813120e3148aa5ecce6ae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f19ea73a76f8de917593454c953c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815ec16584fa3a6ed7f38ebeebcaa0ac.png)
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名校
解题方法
10 . 定义域为
的函数
,对任意x,
,
,且
不恒为0,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bde53de43dda74249725823c0e6610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() |
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