1 . 已知
是定义在
上的函数,且对任意的
,同时满足下列条件:①
;②
,其中
是大于1的常数.记
,且对任意的
,存在常数
,恒有
,则
的一个值是__________ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6343d83fcbf9ef2a2e3d63bcd7bf66.png)
__________
.(用
表示)
![](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/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46074d28f2f23e5026fff76594e32ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b26b0960f01533ae7c120f0d9831392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafeae53499e1b6935c7f32d0a652516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b452e6fc74f3fd4dca0d7f68e719261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1017c3c983d190798812f082957888cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6691894fe61c7e78b94df72b8379130d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6343d83fcbf9ef2a2e3d63bcd7bf66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b63663851c6911a194e531e6e7bd5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
2 . 函数
的定义域为
,对任意
,恒有
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
___________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e663df07f3e3e4c32c752189dd66940.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d41a210e61d9a8a6c8426d12ba55ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e817f37f5a814e856ebc4a16d676ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e663df07f3e3e4c32c752189dd66940.png)
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3 . 定义在
上的函数
满足
为偶函数,
为奇函数,且当
时,
.当
时,函数
与
图象的交点个数为______ .
![](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/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08869ffa8b997472fbc4deee60ae0d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4eccc8b4cef84da4388fc696fef97a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8898d891410dd22bff5d1d2a3cf340e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2024-06-07更新
|
262次组卷
|
2卷引用:2024届河北省保定市九县一中三模联考数学试题
名校
解题方法
4 . 已知函数
的定义域为
,且
为奇函数,
为偶函数,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b196f1d76b6bea1a501cf9770ca041.png)
__________ .
![](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/dd9aed09b664271516723e6942547a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46837e2d6758fdd1c415d23db36f4b65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b196f1d76b6bea1a501cf9770ca041.png)
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名校
5 . 已知定义在
上的可导函数
和
满足:
,且
为奇函数,则导函数
的图象的一个对称中心为__________ .(写出一个即可);若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953429ee5defb3a2c68d4ec38405b474.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/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921ec0c8166584567ff16e7549a30761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6d578f9c98ce402d4cf6e4a23281c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc2b7be871fef904c94ef6360ee32bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45a173784888adf2946382fa093ba53a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953429ee5defb3a2c68d4ec38405b474.png)
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解题方法
6 . 已知函数
及其导函数
的定义域均为
,记
,若
均为偶函数,且当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db109a553c631aae44ec5d197cefbac7.png)
___________ .
![](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/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585de67a3fc494297d375d339af6d153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d557d00ba843784326401cd250004ef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53224898de85a85058ad336490bbbaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f03b1d8cfd37b7753c616d1a2cb995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db109a553c631aae44ec5d197cefbac7.png)
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7 . 已知
,若直线
与
有
个交点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d4cafb7a704a667172c7e67b90bbed.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e69ae0e0b682b25ab4985cb1dcdec21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbeedfeeb6d3fe123b6170962b97aeb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62dff99ef3dd0f0b13f048d955bad38a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d4cafb7a704a667172c7e67b90bbed.png)
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2024高三·全国·专题练习
8 . 已知偶函数
在区间
上单调递增,且满足
,给出下列判断:
;
在
上是增函数;
的图象关与直线
对称;
函数
在
处取得最小值;
函数
没有最大值,其中判断正确的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724f1face977df2f57d4004e68d92b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7140ef56584bf9727acc4fc975bd0b68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa84c67605fde3ed2ec08ebc7d8bc90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00753269db5015e52b3c64966651476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca9560187b7394455442314579c1df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8b8edd94bc4d5d517ec77e56800e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de7958890f35a4e42c700044a9c4c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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名校
9 . 定义在
上的偶函数
满足
,且当
时,
,则曲线
在点
处的切线方程为_________________ .
![](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/c3f015aeef68bad837ffdea277b6ddfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04614d0fac9cde995374a43d4323b723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067919774f34a1dec2a0476d419f46c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c9db397c0f983d64234fe2a3e85499.png)
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2024-03-01更新
|
191次组卷
|
2卷引用:山西省运城市康杰中学2023-2024学年高二下学期开学考试数学试题
解题方法
10 . 设
分别为定义在
上的奇函数和偶函数,若
,则曲线
与曲线
在区间
上的公共点个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b864f16bd99c24313c151b6aeb012e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ec33f7b7d2c0ccab9a3910e0a1b037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be0719aca8e155b667df0fd437f47fe.png)
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