1 . 已知函数
,给出下列四个结论:
①当
时,对任意
,
有1个极值点;
②当
时,存在
,使得
存在极值点;
③当
时,对任意
,
有一个零点;
④当
时,存在
,使得
有3个零点.
其中所有正确结论的序号是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105861d1641ea050b3274e1dac21c6fc.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a882037b9ce104ecc496e0f31a139361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c7b17b40ac22797b8d263c4eb19653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22fc53d1a6192701c1d7364c08fac090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.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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名校
解题方法
2 . 如果函数
满足对任意s,
,有
,则称
为优函数.给出下列四个结论:
①
为优函数;
②若
为优函数,则
;
③若
为优函数,则
在
上单调递增;
④若
在
上单调递减,则
为优函数.
其中,所有正确结论的序号是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9cec0474c43086ea39cb457048313c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c3c5d7cdaa55207c75bf647fdacad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22fe1369d8d2b68246b4b2c9d5d20a30.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f261ec5f72c2c1162c003d0cab6913dc.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e259d5f49d78c4e40cc44422c31dc38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
其中,所有正确结论的序号是
您最近一年使用:0次
2023-01-12更新
|
1247次组卷
|
2卷引用:北京市顺义区2023届高三上学期期末考试数学试题
名校
3 . 向量集合
,对于任意
,
,以及任意
,都有
,则称集合
是“凸集”,现有四个命题:
①集合
是“凸集”;
② 若
为“凸集”,则集合
也是“凸集”;
③若
都是“凸集”,则
也是“凸集”;
④若
都是“凸集”,且交集非空,则
也是“凸集”.
其中,所有正确的命题的序号是_____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2c0b5b15ef55baeb6e7095ce47d5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4b3495096b3eff4f13f9c9f4a264f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee72261f6901e62dfd0ffe547406544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fb919065217dc96eed42837ac8a3251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
①集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939bad3690e57730e36dfc3d9769f841.png)
② 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6aa24781e98b41b97711c0237b3dcb.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2646f41226f24960a6186dc7860ef45.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00442d96d695db2c58bf1fb7165fca94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b76d26b78e63683dfacf10d3da6d74d.png)
其中,所有正确的命题的序号是
您最近一年使用:0次
2022-04-14更新
|
1478次组卷
|
6卷引用:北京市顺义区2022届高三第二次统练数学试题
北京市顺义区2022届高三第二次统练数学试题北京卷专题15平面向量(填空题)(已下线)平面向量的应用(已下线)高三数学临考冲刺原创卷(四)黑龙江省大庆市大庆中学2023-2024学年高一上学期月考数学试题(已下线)【讲】 专题四 与平面向量有关的新定义问题(压轴大全)