名校
1 . 在三棱柱
中,
为该棱柱的九条棱中某条棱的中点,若
平面
,则
为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07391ef575d28f09bc5cda0ff8130a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a935b7d21a103a264b6e96ecf82dbe4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.棱![]() | B.棱![]() | C.棱![]() | D.棱![]() |
您最近一年使用:0次
2021-05-09更新
|
1131次组卷
|
10卷引用:山西省晋城市2021届高三三模数学(文)试题
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名校
解题方法
2 . 将三棱锥
与
拼接得到如图所示的多面体,其中
,
,
,
分别为
,
,
,
的中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/bbaa2f22-1aad-47c3-99db-f1ae79f7b059.png?resizew=186)
(1)当点
在直线
上时,证明:
平面
;
(2)若
与
均为面积为
的等边三角形,求该多面体体积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9072b69d2f0d27f940a49f1db4b27fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c51d16ed607407429e6640ad90d75b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735056c174e8dd7906257a2a50a962a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08348699f7bb1069ee4ae52b7f7c4ae.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/bbaa2f22-1aad-47c3-99db-f1ae79f7b059.png?resizew=186)
(1)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19247393d6b9122742a1a926ff495314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e13d79711f6e435beccf2ccb2247ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33c2aa4cb5a3b8da3b188ab6a21520c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
您最近一年使用:0次
2020-02-18更新
|
452次组卷
|
2卷引用:2019届山西省晋城市百校联盟高三上学期第一次模拟考试数学(文)试题
名校
解题方法
3 . 在四棱锥
中,
底面
平分
为
的中点,
分别为
上一点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/23/0171c99a-8994-413d-a7bb-6d6dd77f5ad1.png?resizew=256)
(1)求
的值,使得
平面
;
(2)过点
作平面
的垂线,垂足为
,求四棱锥
的体积.
![](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/c1d899bc757d27b6f91aa0552300cf3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c0229a9dcb5c3fa67be5ecf0955cc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc39e7848750dc6766c335eae34a89a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ef5a0b7270ffd1819f044b849925e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7e7e42ef653d2d6284c032df57c06b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/23/0171c99a-8994-413d-a7bb-6d6dd77f5ad1.png?resizew=256)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50be91c830e77f021b650d0ce9d9c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5865d488a9cf1181016fd2e866177cdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73153657848013d2a1c3247d7f84ddeb.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e10e589f37ac022dc9251bf5969040.png)
您最近一年使用:0次
2017-03-12更新
|
458次组卷
|
3卷引用:山西省晋城一中2017--2018学年度高二12月月月考数学文试题