1 . 已知三棱锥P﹣ABC中,AC⊥BC,AC=BC=2,PA=PB=PC=3,O是AB中点,E是PB中点.
![](https://img.xkw.com/dksih/QBM/2020/1/31/2388854870712320/2424525459374080/STEM/cbb5256c33fc497a8874221b606fd372.png?resizew=187)
(1)证明:平面PAB⊥平面ABC;
(2)求点B到平面OEC的距离.
![](https://img.xkw.com/dksih/QBM/2020/1/31/2388854870712320/2424525459374080/STEM/cbb5256c33fc497a8874221b606fd372.png?resizew=187)
(1)证明:平面PAB⊥平面ABC;
(2)求点B到平面OEC的距离.
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2020-03-21更新
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406次组卷
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6卷引用:云南省昆明市第三中学2022届高三上学期第四次综合测试数学(文)试题
10-11高三上·广东茂名·期中
名校
解题方法
2 . 如图,四面体
中,
、
分别是
、
的中点,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/fb30b1be-9b20-46fc-be02-fd044cc27f15.png?resizew=202)
(1)求证:
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65d5853c26657db448af610ac72cca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6559aabe16c2318687089e7cc498b98.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/fb30b1be-9b20-46fc-be02-fd044cc27f15.png?resizew=202)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce03b310edce42191f9fa75a1c909ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
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2021-09-10更新
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14卷引用:云南省楚雄天人中学2020-2021学年高二3月月考数学(文)试题
云南省楚雄天人中学2020-2021学年高二3月月考数学(文)试题江西省上高二中2022届高三上学期第二次月考数学(文)试题江西省新余市重点高中2022届高三上学期第二次月考 数学(文)试题黑龙江省大庆铁人中学2021-2022学年高三上学期期中考试文科数学试题(已下线)2011届广东省高州三中高三上学期期中考试数学卷(已下线)2011届江苏省南京金陵中学高三预测卷2数学2014-2015学年黑龙江哈尔滨师大附中高二上学期期末考试理科数学卷山西省朔州市怀仁县第一中学2018-2019学年高二下学期期末数学试题福建省泉州市晋江市南侨中学2019-2020学年高二上学期11月月考数学试题天津市静海县第一中学2017-2018学年高二10月学生学业能力调研数学试题陕西省咸阳市永寿中学2020-2021学年高三上学期开学考试数学(文)试题(已下线)专题19 立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅰ专版)吉林省东北师大附中、长春市十一高中、吉林一中、四平一中、松原实验中学2021-2022学年高三上学期联合模拟考试数学(文)试题上海市七宝中学2022届高三冲刺模拟卷二数学试题
3 . 如图1,在直角梯形
中,AB∥CD,
,且
.现以
为一边向梯形外作正方形
,然后沿边
将正方形
翻折,使平面
与平面
垂直,如图2.
![](https://img.xkw.com/dksih/QBM/2019/1/3/2110811715805184/2111049293520896/STEM/2ea8db955a8d44a491a0bfef2a38dace.png?resizew=234)
![](https://img.xkw.com/dksih/QBM/2019/1/3/2110811715805184/2111049293520896/STEM/5ea8ee190010464ba35f39850ab79ca7.png?resizew=243)
(Ⅰ)求证:BC⊥平面DBE;
(Ⅱ)求点D到平面BEC的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046177466c78f08d45449dc5639bf38.png)
![](https://img.xkw.com/dksih/QBM/2019/1/3/2110811715805184/2111049293520896/STEM/61d0137215694d4293f33de295916c0e.png?resizew=28)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2019/1/3/2110811715805184/2111049293520896/STEM/2ea8db955a8d44a491a0bfef2a38dace.png?resizew=234)
![](https://img.xkw.com/dksih/QBM/2019/1/3/2110811715805184/2111049293520896/STEM/5ea8ee190010464ba35f39850ab79ca7.png?resizew=243)
(Ⅰ)求证:BC⊥平面DBE;
(Ⅱ)求点D到平面BEC的距离.
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2016-12-04更新
|
1034次组卷
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7卷引用:云南省曲靖市第二中学、大理新世纪中学2021届高三第一次模拟考试数学(文)试题