在四棱锥
中,
平面
,
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05740f0c6071846227dc0ec177ad15e8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/06b0afc8-e829-4009-9845-27efbae43a69.png?resizew=190)
(Ⅰ)设平面
平面
,求证:
(II)求证:平面
平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05740f0c6071846227dc0ec177ad15e8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/06b0afc8-e829-4009-9845-27efbae43a69.png?resizew=190)
(Ⅰ)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a09d03d26008b17d89e98125eff110c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747e7c4b2f940a9f0a7300a5d0f11cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c70a73fc2e59b8bdf802b0072243ab0.png)
(II)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
更新时间:2019-06-06 00:07:04
|
相似题推荐
解答题-证明题
|
较易
(0.85)
【推荐1】如图所示,在长方体
中,
分别是棱
上的点,且
,过
的平面与棱
分别交于点
.求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc7a8cac5ff6c0c8f5a1a51ec404bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a54aa2a12c2af766088d965a0b401cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac26574e291f7ae9f51027a74bc5cbd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18440ebdd23944884006427d7c5b49d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550393192946efca6100dff9fdaaef40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52aef9d1132740cff16178519f2e3d74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
您最近一年使用:0次
解答题-证明题
|
较易
(0.85)
【推荐2】如图所示,已知三棱锥
中,
,
分别是边
,
的中点,过
的平面截三棱锥得到的截面为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff2693fab4922833425c8daa73e1ef4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29eddca555d1ee6f1c7061efbaf11b47.png)
您最近一年使用:0次
【推荐1】已知梯形
如图1所示,其中
,
,
,四边形
是边长为1的正方形,沿
将四边形
折起,使得平面
平面
,得到如图2所示的几何体.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/4a8a5ac4-f188-4d08-ace9-e180931afd22.png?resizew=292)
(1)求证:平面
平面
;
(2)求六面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8edaecff592cf677f45d8c54340a89f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10837e4e6808f75a3c8b54a5af4511d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c5c9cc1ed4bce98b7fae77e70b227f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faffe3765c15f53305516895aa595a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e35c534ee351308fbbc2dd287147235.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d61d6896499f312a2d5c06edecae03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/8/4a8a5ac4-f188-4d08-ace9-e180931afd22.png?resizew=292)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a46fbde58e12b1edc038ae9e921722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)求六面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d78d008923973b0529d4f7c9f1a2717.png)
您最近一年使用:0次
【推荐2】如图,多面体
中,四边形
为菱形,
,
,
,
.
平面
;
(2)当
时,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbaccd578a43b2397c8bdd50592fa07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860cd26630a3172fa079ead357dac4d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daee8baa62b5b8d5db41eab0d360ee51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42ce82a4c37365f2d4dea2c4ad2e3288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f84f169e50dc59d4f7a8e1e36f5c847.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ff7bf8ffc8a04186e3e13c1a6d5ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/630cbaf628064c66436caa267201bc55.png)
您最近一年使用:0次