设函数
是定义在
上的偶函数,且对任意的
恒有
,已知当
时,
,则下列命题:
①对任意
,都有
;
②函数
在
上递减,在
上递增;
③函数
的最大值是1,最小值是0;
④当
时,
.
其中正确命题的序号有_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a3556b7e9458ec54d4cf1de17a5649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa4fc0cbb3c2db0d9112532f8a88a21.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e298fe246eef819dd9b1edabe3bb9cb.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095040168ec6f031ca14037b0422dd66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e67c03c52e3ab2e3d4b4b2cf9052fc.png)
其中正确命题的序号有
更新时间:2020-12-04 14:31:39
|
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填空题-单空题
|
较难
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解题方法
【推荐1】已知函数
,若
,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ab2ebced427793077ce26c204f17c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc588b2e543db6adf07f3c2e300e890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
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|
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(0.4)
名校
【推荐2】当x、y∈(0,1)时,
的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236cc85b649415cedfe0e9684427f0ab.png)
您最近一年使用:0次
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|
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(0.4)
解题方法
【推荐1】已知函数
,
的定义域为
,
为
的导函数,且
,
,若
为偶函数,求
=______ .
![](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/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22add663bd26e87d972a10dc5fd9ada1.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9df067632045f83dbbcdc8dac67b55e.png)
您最近一年使用:0次
填空题-单空题
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【推荐2】给出定义:若
(其中
为整数),则
叫做离实数
最近的整数,记作
,在此基础上给出下列关于函数
的四个命题:
①函数
的定义域为
,值域为
;
②函数
在
上是增函数;
③函数
是周期函数,最小正周期为
;
④函数
的图象关于直线
对称.
其中正确命题的序号是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b82ec65b678aef2b8ae9f2b143d0c78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a6b9b824412f889341ea7946b7ff3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f154f4e8b1043aeaeaa842f8b6a23b2a.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86644d5b1157b35cf7b825f108d4c39.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497199a00f177af4c593e0e715be97f1.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fdf03192c9f565575d624af92f0845a.png)
其中正确命题的序号是
您最近一年使用:0次
填空题-双空题
|
较难
(0.4)
解题方法
【推荐1】设函数
是定义在整数集Z上的函数,且满足
,
,对任意的
,
都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72253d846d8750db2bf695df99c53f3e.png)
______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0632311b3ee840f2a925c6cda4be5261.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f3584785cd0e626365a35f397c04f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bde53de43dda74249725823c0e6610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72253d846d8750db2bf695df99c53f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0632311b3ee840f2a925c6cda4be5261.png)
您最近一年使用:0次
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|
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(0.4)
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解题方法
【推荐2】定义在实数集
上的偶函数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481fa05079e61e7bf3f9b3e1f626ba08.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb83145bdd62dbba925f15f1d421a3f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/481fa05079e61e7bf3f9b3e1f626ba08.png)
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