如图,在直三棱柱
中,平面
侧面
,且
.
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572508766109696/1572508772605952/STEM/9b83dc6e25ee48d7975690c9b755fc49.png)
(1)求证:
;
(2)若
,求锐二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f47d6a88e962cd790d2f159c021ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d7e638ee7e910e4dd7fec67b9b75da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b7b7793d29d66dfdd89e7a6564a35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4339a40ae9d1947ec3a4b3e2fa3a16cd.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572508766109696/1572508772605952/STEM/9b83dc6e25ee48d7975690c9b755fc49.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af254745c1c19bd20e83344bee674ce7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c14a66ed4bd66df65bc42c4ac1ed15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c127b47353581fe4626d55345a5cb4eb.png)
更新时间:2016-12-04 03:00:11
|
相似题推荐
解答题-证明题
|
较易
(0.85)
名校
解题方法
【推荐1】如图,在正方体
中,
为
中点,
为
中点,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/2/5edb48d9-552e-4f4c-8a51-262188303484.png?resizew=168)
(1)求证:
、
、
、
四点共面;
(2)求异面直线
与
所成的角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/2/5edb48d9-552e-4f4c-8a51-262188303484.png?resizew=168)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e516121599c9fcc528121c00afcf52fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e539f26ed5e0b20ff7220559324869a4.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
名校
解题方法
【推荐2】在直三棱柱
中,
,
,
,D是
的中点.
平面
;
(2)求异面直线
与
所成的角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4622aff92fac94916af14f0e913e021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cb62f4c1e0e023619922eb8a509c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc7e774e4ae40c23bf4ceed179230ca.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
【推荐1】如图,平面DCBE⊥平面ABC,四边形DCBE为矩形,且BC=
AB=
AC,F、G分别为AD、CE的中点.
![](https://img.xkw.com/dksih/QBM/2016/3/15/1572540359254016/1572540365332480/STEM/0013cb63087b44fc8f0312a75396913f.png)
(1)求证:FG∥平面ABC;
(2)求证:平面ABE⊥平面ACD.
![](https://img.xkw.com/dksih/QBM/2016/3/15/1572540359254016/1572540365332480/STEM/04ca341a662f47559a8c1f756ad4e7b3.png)
![](https://img.xkw.com/dksih/QBM/2016/3/15/1572540359254016/1572540365332480/STEM/04ca341a662f47559a8c1f756ad4e7b3.png)
![](https://img.xkw.com/dksih/QBM/2016/3/15/1572540359254016/1572540365332480/STEM/0013cb63087b44fc8f0312a75396913f.png)
(1)求证:FG∥平面ABC;
(2)求证:平面ABE⊥平面ACD.
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解答题-证明题
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较易
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【推荐2】如图,在四棱锥
中,
平面
,四边形
为正方形,点
分别为线段
上的点,
.
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572935910195200/1572935915675648/STEM/ce1a0480e52b48058ff4c7349f51caad.png)
(1)求证:平面
平面
;
(2)求证:当点
不与点
重合时,
平面
;
(3)当
时,求点
到直线
距离的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6153163fecdf3f410411048428ccaef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551e4cd76a93de89ea2750160fe74923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589c3cc1f331dbb2248b0829039df7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd03035fbfed2684d90b676c1916254f.png)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572935910195200/1572935915675648/STEM/ce1a0480e52b48058ff4c7349f51caad.png)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6975ec118f40dc2feb16fb2dcde3285c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求证:当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe56ede6bebd29d359e4f20af7fcaba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9b6987d629a52f5f4a48bedcd82cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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