解题方法
1 . 如图,在四棱锥
中,底面
为菱形,
分别是棱
的中点,且
平面
.
![](https://img.xkw.com/dksih/QBM/2016/11/3/1573113505079296/1573113511321600/STEM/984ff11d177f4c07a0350b35184c86bb.png?resizew=201)
(1)求证:
平面
;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d33ae90b2d49f19166b4da95144d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db61a563634c0c9ada2d2aa90bed1dac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff94ae7692477febffe53b03f06e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2016/11/3/1573113505079296/1573113511321600/STEM/984ff11d177f4c07a0350b35184c86bb.png?resizew=201)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72221ee5b504d596ff799c0b356aa0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d923a338dd2d2e29336b42574d38448.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78307cd417504554a4e2276fe24d1162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f129bc3e3b94149cbf6ac87effe863cc.png)
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2016-12-04更新
|
1143次组卷
|
5卷引用:青海省西宁北外附属新华联外国语高级中学2022-2023学年高二上学期期末考试数学(文)试题
2 . 已知四棱锥
的底面是菱形.
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/2013/6/17/1571245934362624/1571245940064256/STEM/593a827e5beb4d219c9871c8233dbdf1.png)
(1)求证:
∥平面
;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6153163fecdf3f410411048428ccaef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d0710321d97361e5782124bbf7f0c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://img.xkw.com/dksih/QBM/2013/6/17/1571245934362624/1571245940064256/STEM/593a827e5beb4d219c9871c8233dbdf1.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba9008f244e609ad267e10b8861c8254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
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2016-12-02更新
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5卷引用:2013届青海省西宁五中片区高三大联考文科数学试卷
(已下线)2013届青海省西宁五中片区高三大联考文科数学试卷(已下线)2010-2011学年北京东城区度综合练习(一)高三数学 (文科)北京昌平一中2016-2017学年高二上学期期中考试数学试题甘肃省临夏州临夏中学2018-2019学年高一上学期第二次月考数学试题安徽省合肥市六校联考2020-2021学年高一下学期期末数学试题
3 . 如图,三棱台
中,
分别为
的中点.
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572140609953792/1572140614860800/STEM/e5117707-d206-499a-adf1-8a25d5a460cc.png?resizew=227)
(Ⅰ)求证:
平面
;
(Ⅱ)若
求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8783bc74553bf44b61d999a0e4144bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ebf1f92ead67fb1dfd3ada50d5cf346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83515d91f26944fa2ad00fcbe76a6a94.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572140609953792/1572140614860800/STEM/e5117707-d206-499a-adf1-8a25d5a460cc.png?resizew=227)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debdc6632a4877e5131d3da25cda8b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1828e73ec5e00f95aa11ff74c703a5c1.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a108530a80a1165e15e7be47b1d0a068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c309e58bf083bad13abd549720a63a22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b6917095bea8efd3154b72d737f013.png)
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2016-12-03更新
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10卷引用:青海省西宁市海湖中学2022-2023学年高二上学期期中考试数学试题
青海省西宁市海湖中学2022-2023学年高二上学期期中考试数学试题2015年全国普通高等学校招生统一考试文科数学(山东卷)2016届辽宁省五校协作体高三上学期期初考试文科数学试卷山东省济南市长清第一中学大学科技园校区2017- 2018学年高一上学期第三次阶段性质量检测数学试题(已下线)专题06+立体几何-2021高考数学(理)高频考点、热点题型归类强化安徽省安庆市桐城市第八中学2020-2021学年高二上学期第一次段考数学试题广西桂林市第十八中学2021-2022学年高二上学期期中考试数学(理)试题(已下线)8.6.3 平面与平面垂直 (课后作业)【师说智慧课堂】新教材人教A(2019)必修(第二册)(已下线)专题10 立体几何的综合问题-2021-2022学年高一数学下学期期末必考题型归纳及过关测试(人教A版2019)(已下线)专题23 立体几何解答题(文科)-1
4 . 如图,四棱锥
底面是矩形,
平面
,
,
,
是
的中点.
(1)求证:平面
平面
;
(2)求点
到平面
的距离.
![](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/f83a04565a8ebaa111894b724b0ba266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ad6a0124359e8b9f7649cf0bff51ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca48c18021e7be4bbb3e95576e1c1b5f.png)
![](https://img.xkw.com/dksih/QBM/2016/12/10/1579114983874560/1579114984456192/STEM/59f33269-448f-4206-8b55-92ae4f999fdd.png?resizew=228)
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2016-12-13更新
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3卷引用:青海省西宁市普通高中五校2020-2021学年高二上学期期末联考数学(文)试题
5 . 如图,在圆锥
中,已知
的直径
的中点.
![](https://img.xkw.com/dksih/QBM/2014/5/22/1571734572580864/1571734578470912/STEM/b2a6ed50-3f10-4f9e-9beb-2867593916fc.png?resizew=238)
(1)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adec05260cb32350463ec97607b9d0a1.png)
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7648f049cc17a82fe816f5de3d9693c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c6af2604ff0f121c696eb2876f023f.png)
![](https://img.xkw.com/dksih/QBM/2014/5/22/1571734572580864/1571734578470912/STEM/b2a6ed50-3f10-4f9e-9beb-2867593916fc.png?resizew=238)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adec05260cb32350463ec97607b9d0a1.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a4bddf1ea3c5d37f2233a4821909e9.png)
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2016-12-03更新
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