如图,在四棱锥
中,底面
是平行四边形,
,平面
平面
,
为
中点.
![](https://img.xkw.com/dksih/QBM/2018/4/3/1916185721470976/1917437790175232/STEM/9d365352dff746b2b33eae1ff7defad3.png?resizew=256)
(1)求证:
;
(2)求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5164a3cc47e266446d49127e2ef10c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c433b4eceb3090fbefb1e6ae2bf5bc40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17580410bf63dba4fe164265afaac4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9b32570d553161be04d13954e92a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/2018/4/3/1916185721470976/1917437790175232/STEM/9d365352dff746b2b33eae1ff7defad3.png?resizew=256)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b87b3be10408261827291574434d8e.png)
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5164a3cc47e266446d49127e2ef10c37.png)
更新时间:2018-04-05 11:00:04
|
【知识点】 线面垂直证明线线垂直
相似题推荐
解答题-证明题
|
适中
(0.65)
解题方法
【推荐1】如图所示,已知
平面
,
分别是
的中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/12/adca8942-87a7-4941-9c74-4688682f01e6.png?resizew=193)
(1)求证:
平面
;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97bde5efa645a4c1ed6874088400d6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd6a2b112facda441f4e34bf5c145fa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/12/adca8942-87a7-4941-9c74-4688682f01e6.png?resizew=193)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17580410bf63dba4fe164265afaac4cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐3】如图在三棱锥
中,
和
均为等腰三角形,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/be622b38-89e3-4d28-9f42-ffb7b1777805.png?resizew=215)
(1)判断
是否成立?并给出证明;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9338b2eb1612e6c10b09342b3ab15f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa5283f77126a91f4e2613abefccad8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/be622b38-89e3-4d28-9f42-ffb7b1777805.png?resizew=215)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafa8c14100a4f847b41b9148954116c.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次