已知奇函数
及其导函数
的定义域均为
,
,当
时,
,则使不等式
成立的
的取值范围是__________ .
![](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/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6855784817151468771f29c0fc38fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da29b63cdd9891d2cb735c4e327d35a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f8d1c3f60714dbae6f0a3610719ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
更新时间:2024-05-16 22:32:19
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【推荐1】下列是奇函数,且在
上递增的函数有______
①
; ②
; ③
;④
; ⑤
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c1386365c3282c147d24b2b463107e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c57e815c01a412466a6aa12d3e883a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6534777c164d9da542e2c505bdba8e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e95e9ced21d462feb723ad74690d8a2.png)
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【推荐2】若函数
同时满足:①对于定义域上的任意
,恒有
;②对于定义域上的任意
,当
时,恒有
,则称函数
为“理想函数”.给出下列四个函数中:①
;②
;③
;④
能被称为“理想函数”的有________ (填相应的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34e9794d31b207750914222a39d9036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/717a1efcded39ade5c5e98eeb21013e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ede389b43c78417912542746d91d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9dc85f1efc01a65f633e59cd18108f6.png)
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【推荐3】已知函数
,则不等式
的解集为_______________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e16b238a3cebe5df13ee3442cce533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c069c2056bee5eb5e8183b49e766af.png)
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解题方法
【推荐2】已知函数
的定义域为
为奇函数,且对于任意
,都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f79a9d20a20a0d5040d15a777f4e3b1.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9103c3be569d9298e20868fae00ff402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fcea5d5d04fef690da53cd17463f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f79a9d20a20a0d5040d15a777f4e3b1.png)
您最近一年使用:0次
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【推荐2】已知
,函数
.
给出下列四个结论:
①当
,函数
无零点;
②当
时,函数
恰有一个零点;
③存在实数
,使得函数
有两个零点;
④存在实数
,使得函数
有三个零点.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff8d9b6533ff319420cdc5e8740b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d79f84f751742c1c1b5f46148c46cf.png)
给出下列四个结论:
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4eaa80b44625890339d6a0065c241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
其中所有正确结论的序号是
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【推荐1】函数
,若
,则实数
的取值范围__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78fb823c14638e992fd7fca125c41fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c3ed84fc2547ae3ecf950103918696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】已知定义在R上的函数
满足:对任意的
,有
恒成立,若
在
上单调递增,则不等式
的解集是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3b657ebd1733b4f19dcbec44919924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ff4147247dc73dc48ec8957c498bf4.png)
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