解题方法
1 . 三棱柱
中,侧棱![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
平面
,
为等腰直角三角形,
且
,
,
,
分别是
,
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/4/efedc62f-9e7c-470c-9adc-8e87d5f05169.png?resizew=152)
(1)求证:
平面
;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8e9ec412ea0355e4e5cd06c60e5fee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1baa3d0db9ad31d33c2883a6efed1dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/fa6cb992b6faad4744f85d73a3b76dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/4/efedc62f-9e7c-470c-9adc-8e87d5f05169.png?resizew=152)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f94bf6140206c527ca23425ede214d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
您最近一年使用:0次
名校
2 . 如图,在四棱锥
中,侧面
是正三角形,且与底面
垂直,底面
是边长为2的菱形,
,
是
的中点,截面
交
于
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/c6954ca7-7791-4d17-8ecb-d93d5a9f8a0e.png?resizew=170)
(1)求
与平面
所成角的大小;
(2)求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.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/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ed3327bb61d4453377c951fcf09140f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/c6954ca7-7791-4d17-8ecb-d93d5a9f8a0e.png?resizew=170)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a406f24b5131eb7da9127750319e52.png)
您最近一年使用:0次
2016-12-03更新
|
894次组卷
|
2卷引用:2014-2015学年湖北省安陆市一中高一下学期5月联考模拟数学试卷
12-13高二上·吉林·期末
真题
名校
3 . 如图,在
中,
,
,
是
上的高,沿
把
折起,使
.
(Ⅰ)证明:平面
⊥平面
;
(Ⅱ)若
,求三棱锥
的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6d7a16f44c86e0102becaa4404ed8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc792c7c341a694285dfa6632f39fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da95ecece2225aeaa4fd2ea84dc61753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e58fd0e10aeeb10e7cbd39443fe8eb.png)
(Ⅰ)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1776d156423ea523de87fbca6c0b6019.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4739afd7311501e948aa4e1e5c1cb17.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb08f6a798dc293f3d8de281190f65e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef7775dc7f33df1a1205247431e607c.png)
![](https://img.xkw.com/dksih/QBM/2013/8/29/1571332102905856/1571332108509184/STEM/be054c260bad471ca3909a56765b2f2c.png)
您最近一年使用:0次
2016-12-02更新
|
1980次组卷
|
10卷引用:湖北省孝感市七校教学联盟2016-2017学年高一下学期期末考试数学(文)试题
湖北省孝感市七校教学联盟2016-2017学年高一下学期期末考试数学(文)试题(已下线)2011-2012学年吉林省吉林一中高二上学期质量检测理科数学(已下线)2011-2012学年福建省闽侯二中、闽清高级中学等五校高一第一学期期末联考数学(已下线)2013届四川成都龙泉驿区5月高三押题试卷文科数学试卷(已下线)2013-2014学年陕西宝鸡金台区高一上学期期末检测数学试卷2011年普通高等学校招生全国统一考试文科数学(陕西卷)广东省中山市2016-2017学年高一第一学期期末统一考试数学试题甘肃省天水市第一中学2019-2020学年高三上学期12月月考数学(文)试题甘肃省天水市一中2019-2020学年高三上学期第三阶段考试数学(文)试题第14章:几何体中的表面积与体积(A卷基础卷)-2020-2021学年高一数学必修第二册同步单元AB卷(新教材苏教版)