名校
1 . 在下列命题中,正确的命题有________ (填写正确的序号)
①若
,则
的最小值是6;
②如果不等式
的解集是
,那么
恒成立;
③设x,
,且
,则
的最小值是
;
④对于任意
,
恒成立,则t的取值范围是
;
⑤“
”是“复数
(
)是纯虚数”的必要非充分条件;
⑥若
,
,
,则必有
;
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef389807e5cb964f7756c6841f7161d.png)
②如果不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae8fff7c98b78992edcd61daf6ea72f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7b2668d8fcf713370822c8e368ba7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da693578d4cd0c841fd529fe7ebfe4d.png)
③设x,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2519954ec2deabecd7e057886fa4023c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8887f77124cbe18a4931826ede9c9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
④对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b687f97094676b2755bc724219a58520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ce220e0583c843810d4b44de111156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49bc53d70ee599df5cad39f06f728c2.png)
⑤“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d96d22950baabd8ca6647205f1d3cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
⑥若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae2e606c883dace7fbd88223c8067885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9d3040a7a1fc2cf8ac555dbafc97dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc277eef249facf647e13a58e3c2fe26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297a7062ba8f240d7517f0dd3ee6a27d.png)
您最近一年使用:0次
解题方法
2 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/25/1ec0f96d-b602-4ded-9399-a2dc329aaf8c.png?resizew=248)
(1)当
时,画出
的图象,并判断直线
与
图象的交点个数;
(2)设函数
,若
对于任意
都成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd713819683b3ff3bfbd39a08878ee08.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/25/1ec0f96d-b602-4ded-9399-a2dc329aaf8c.png?resizew=248)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46111e4d12c21798aa213c0d7804c2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f342cde790a2db591c2a7150b9261ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0632b67d3bfbf73e763124696892c36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8437e8abf825302f7b7a07d3455e98d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次