解题方法
1 . 如图,在棱长为1的正方体
中,点M是线段
上的动点,下列四个结论:
①存在点M,使得
平面
;
②存在点M,使得
的体积为
;
③存在点M,使得平面
交正方体
的截面为等腰梯形;
④若
,过点M作正方体
的外接球的截面,则截面的面积最小值为
.
则上述结论正确的是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
①存在点M,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afabf56cc68ea438a890f9fea04b708e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211ad5a06b505b8365a62c1946f3cb7.png)
②存在点M,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d027f2e2a186c0446c4e97eecc9d1b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
③存在点M,使得平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4321737742c86e3b5ea7e626f8f95b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1015b4149a5a7f805ef2730c7c5c07c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eadec57635e9feae016ab775f123fc4e.png)
则上述结论正确的是
![](https://img.xkw.com/dksih/QBM/2022/3/23/2942434683338752/2943237842870272/STEM/f7a574b5-6cc6-4ab8-bd29-2c64bf80c7b4.png?resizew=181)
您最近一年使用:0次