设
是定义域为
的奇函数,且
.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d42b950ec71fdcb45c16a6fff7834ba.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a854227d789fa69c4f13371affb4ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f3d2696aed6a4752b7bcc1368f073d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d42b950ec71fdcb45c16a6fff7834ba.png)
21-22高三上·陕西咸阳·期中 查看更多[3]
更新时间:2022-12-22 23:42:20
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【推荐1】已知
,则使得
成立的
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e4d0ea601b008b7eb371ac594f17b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3238002f7711b80d732ad0091f0c92e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
【推荐2】已知函数
,若定义在
上的奇函数
满足
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9010bf9196ad17532961d39e73128753.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594995647a65a7a041925a055d2114cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ec1dc5d1f1a66831b87d7c34c1750e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c646a9c351a2c957ac0977f9be3bb1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9010bf9196ad17532961d39e73128753.png)
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【推荐1】定义在实数集
上的奇函数
满足
,且当
时,
,
则下列四个命题:①
;
②函数
的最小正周期为
;
③当
时,方程
有
个根;
④方程
有
个根.
其中真命题的序号为________________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f484e8daf97b70bd2a505923fd5e2f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a18ca67c2770b98f36dbfd802595a95.png)
则下列四个命题:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9a4fed35f4373fd51757ca590342c0.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95fdd40d1498f9fa29754f891a6ebd98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad56942439368d413f74e0ab7d9fb23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6567511bb9486b2ca7452b870abd2a1f.png)
④方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2705c101dfbc2df4c2276c6a141c0455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
其中真命题的序号为
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【推荐2】给出下列命题:
① 函数
是偶函数;
②函数
图象的一条对称轴方程为
;
③对于任意实数
,有
,
且
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d8e52a3f9d4cd7b77cf4cd9782275.png)
则
时,
.
④若对
函数
满足
,则4是该函数的一个周期.
其中真命题为_______________ .
① 函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0782208455d7652cce672ec088b1a447.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5b63f72650f3b0addc65142026afa34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e60b49815c5c25b48e6c74d7077851a.png)
③对于任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d88a41a8c39757a1bbcc8ae9052c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e065d3731d53e4524f1b8a1a512a3402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d8e52a3f9d4cd7b77cf4cd9782275.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0a5d10fecd4b5a0c2c2a77b5ce72e6.png)
④若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78132753bd0d62932f7ff62a7046f7ab.png)
其中真命题为
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解题方法
【推荐1】已知定义在
上的函数
满足
,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb4ccf67ec1c12304a15c678b209b95.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339b85cca0100adc23472c143f9a5a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d999334fd0852fedf1cf7d35c710ade4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4c48afa0c244db305088d9c3180394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3794c53aa6d7577d68a457c2d3ed7e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb4ccf67ec1c12304a15c678b209b95.png)
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【推荐2】已知定义在
上的函数
的周期为4,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cb0fb09e2437366fddfa35c6f698eb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69062c642645161081d3a7ccc87b91ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539fab869f10ba6d2e546073540ebf36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cb0fb09e2437366fddfa35c6f698eb.png)
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