名校
1 . 设函数
定义域为
,对于区间
,如果存在
、
,
,使得
,则称区间
为函数
的“保
区间”.
(1)给出下面3个命题:
①
是函数
的“保
区间”;
②
是函数
的“保
区间”;
③
是函数
的“保
区间”.
其中正确命题的序号为______ .
(2)若
是函数
的“保
区间”,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e12acf98cbc2b084041352d558c6821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28e384ba050b238e11f7c74d3002aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2698a5500308daa68bc4c38d5caab41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)给出下面3个命题:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb2619aeb65a4d542263ef477fe0510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5585ba3f4ce2fd0d3e150ef5a816ab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b448fe164c2c2931805e3b3847dcdd75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c59c0a20e2dc3390392719fd7d06e78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
其中正确命题的序号为
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6257a9864ba40e27ef9cd745522d9ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b33fff0def2be3a5ac4a46904173f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
2023-02-14更新
|
688次组卷
|
3卷引用:北京市海淀区中国人民大学附属中学2023届高三下学期开学摸底练习数学试题
2 . 关于x的函数
有以下命题:
①存在
,使得
是偶函数;
②对任意的
,
都不是奇函数;
③对任意的
,
都是以
为最小正周期的周期函数;
④若
对任意的实数x都成立.则
的最小值为
.
其中正确结论的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4eb0fa17492d559d0ff564adc9f7c6.png)
①存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
②对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9fdc1f8ed0ae44b54a9a2a3aca2db4.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5e82d1f08ef6738090945935bf7d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
其中正确结论的序号为
您最近一年使用:0次