已知定义在R上的偶函数
满足
,
,若
,则不等式
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2504fdc8dc45e68e477760e43bc8124e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351950f5ef13f309b41dca7ac8e42300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ad022e083bb04aa44bb6cac10c0bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5122b46fa16652aa887e5cce9b52eb23.png)
更新时间:2023-03-30 13:52:39
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【推荐1】已知函数
与
都是定义在
上的奇函数, 当
时,
,则
(4)的值为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed2dd8a797d6da9c89e858aed9a7da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
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【推荐2】已知
,
是定义在R上的两个函数,其中
是奇函数,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21090d98924e690645e3ae41ecc29ac5.png)
.当
时,
,
.若关于x的方程
在区间
上有5个不同的实根,则实数k的取值范围为___________ .
![](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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb7af9e416682c9be1ff154ec3fbfdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21090d98924e690645e3ae41ecc29ac5.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bb7883ea87e6275472dbe14ee62357.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9587df831df1af5e7dd6be5fdc7bd8ce.png)
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【推荐3】已知函数
是
的奇函数,对任意
,都有
成立,当
,且
时,都有
,有下列命题:
①
;
②直线
是函数
图象的一条对称轴;
③函数
在
上有5个零点;
④函数
在
上单调递减.
则结论正确的是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbf125838217a7f42364e7aec81cc25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6c0fddb9074dfc96be03b4aa24d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937ed54cc24fdaf5292f408a49eabefc.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf2917e77945b30da7be9b48b0b317a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2a7b456eeaf035021c1db7beea8512.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8434625e23870a2d1595d373d55a739.png)
则结论正确的是
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【推荐1】若存在一个实数t,使得
成立,则称t为函数
的一个不动点.设函数
(
,e为自然对数的底数),定义在R上的连续函数
满足
,且当
时,
.若存在
,且
为函数
的一个不动点,则实数a的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5690be2ba11bec3fd4afdfdac982fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7328d25a8f8671bc8ee2958f805b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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【推荐2】已知函数
,关于函数
给出下列命题:
①函数
为偶函数;
②函数
在区间
单调递增;
③函数
存在两个零点;
④函数
存在极大值和极小值.
其中正确命题的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236431d0c3d54dfe8123077909bbb68b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1279ef84071f5ad7c4c1681357edd84.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
其中正确命题的序号是
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解题方法
【推荐3】已知不等式
恒成立,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b3a03af9e2407756bc3fc61695de55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐1】已知函数
,则不等式
成立的
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaa4e5504640133c802c60a89fbdcc16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13619fa2167ee615a8968a143744033.png)
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【推荐2】已知函数
,则满足不等式
的
的取值范围是_________
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解题方法
【推荐1】已知函数
的定义域为
,且
,若
为奇函数,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780a9c71a7ac89a40773d23d001106dc.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
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解题方法
【推荐2】若函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7311de097cd65b1cf4202f2b1bea096.png)
___________ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7311de097cd65b1cf4202f2b1bea096.png)
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