1 . 下列几个命题:
①函数
是偶函数,但不是奇函数;
②“
”是“一元二次不等式
的解集为
”的充要条件;
③若函数
是偶函数,则函数
的图象关于直线
对称;
④若函数
为偶函数,则
;
⑤在![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
中,若
,则
.
其中正确命题的序号为__________ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbdab740b60913bc22812acc4aab6a59.png)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953d47cb9cfed0cb9270909cde895e4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95f3fa710253c107b6e8fb458108b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
③若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b727eb9da56be079445321cf61cf26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4000a34516fab629faa0e321a18f222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937d3ae6dd382227b4caa3f995f9d75b.png)
⑤在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
其中正确命题的序号为
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2 . 已知点
在幂函数
的图像上,有以下4种说法:
①
为奇函数;
②
为偶函数;
③
在
上单调递增;
④
在
上单调递减.
其中所有正确说法的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afaaa6eb6cf000f00006d2f6fa85b76d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5236e329f12f8d2a611f5ab5ca5fee11.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
其中所有正确说法的序号是
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名校
解题方法
3 . 关于函数的性质,有如下说法:
①若函数
的定义域为
,则
一定是偶函数;
②已知
是定义域内的增函数,且
,则
是减函数;
③若
是定义域为
的奇函数,则函数
的图像关于点
对称;
④已知偶函数
在区间
上单调递增,则满足
的
的取值范围是
.
其中正确说法的序号有___________ .
①若函数
![](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/1e487c0590c5058786a33ceaf3d91fa8.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f21febe8749e5e598124c2f6bb4025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640bcb4e53d43f8ad9a7d6ab50474830.png)
③若
![](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/ee798afc6ca1bbee1f324fc7e0abafd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
④已知偶函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/207179e1590cefee1ee7c5294c55d5c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f5788219e1b572a03b7453968ad25f4.png)
其中正确说法的序号有
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2022-09-19更新
|
798次组卷
|
3卷引用:陕西省榆林市第十中学2020-2021学年高一上学期期中数学试题
4 . 下列说法中:①若
为奇函数,则
的图像一定经过原点.②定义在R上的函数
满足
,则函数
在R上不是增函数.③既是奇函数又是偶函数的函数一定是
④函数
在区间
上连续且满足
,则函数
在
上有零点,其中正确命题的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ad5a30e4b42f054951daac85f06910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56ced45a3d44525d0484d96d5d06baa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340759edda395bb44f3f0cfbae258257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
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