解题方法
1 . 如图,二面角
的大小为
,半平面
内有一点
(不在
上),半平面
内有一点
(不在
上),
在直线
上的射影分别为
(
不重合),
,
,则三棱锥
外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def26b3c1c08356f8fa49c85fe19476b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9ad150cb1e4cd8977d4cc3d99be17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/e7bbd26d-321b-4f14-825d-331c0d472d67.png?resizew=175)
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2 . 若三棱锥P﹣ABC的底面边长与侧棱长都是3,则它的内切球的表面积为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 如图所示,正三棱柱ABC-A1B1C1的高为2,点D是A1B的中点,点E是B1C1的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/761379a9-3a4b-4775-a320-f43646932b7a.png?resizew=179)
(1)证明:DE∥平面ACC1A1;
(2)若三棱锥E-DBC的体积为
,求该正三棱柱的底面边长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/761379a9-3a4b-4775-a320-f43646932b7a.png?resizew=179)
(1)证明:DE∥平面ACC1A1;
(2)若三棱锥E-DBC的体积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da11ecd491d67cc6cdc4f5421bf6f149.png)
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2019-12-16更新
|
1396次组卷
|
7卷引用:【市级联考】四川省广元市高三2019届第一次高考适应性统考数学试题
名校
解题方法
4 . 某三棱锥的三视图如图所示,则该三棱锥外接球的表面积为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/294eb4f1-ba34-4bc4-a879-ceeeae0f5150.png?resizew=216)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/294eb4f1-ba34-4bc4-a879-ceeeae0f5150.png?resizew=216)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-06-18更新
|
1355次组卷
|
2卷引用:四川省广元市2019-2020学年高一(下)期末数学试题
名校
5 . 如图某几何体的三视图是直角边长为1的三个等腰直角三角形,则该几何体的外接球的表面积为_____ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/f4f21433-3dd9-47dc-81f1-edf8e612f643.png?resizew=329)
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2019-01-11更新
|
302次组卷
|
2卷引用:【市级联考】四川省广元市高三2019届第一次高考适应性统考数学试题
6 . 如图,在斜三棱柱
中,已知
,
,且
.
![](https://img.xkw.com/dksih/QBM/2018/7/24/1995250739593216/2020756539613184/STEM/31d98bcfc3614232943b6d36192b0037.png?resizew=187)
(Ⅰ)求证:平面
平面
;
(Ⅱ)若
,求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcfdaff6c0ebc150c81ce52a0cb95469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e5dc81fbafbe58bff0842f7776d80a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fe926770d2354e172dec02f5ce2efe.png)
![](https://img.xkw.com/dksih/QBM/2018/7/24/1995250739593216/2020756539613184/STEM/31d98bcfc3614232943b6d36192b0037.png?resizew=187)
(Ⅰ)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61cdaadeae37736a1e6dd93fa1fe712f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e448cf106f584695cce0ae1fdc16f9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c61e6d34503a713684bb25be96edbcd.png)
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2018-08-29更新
|
2117次组卷
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4卷引用:2019届四川省广元市高三第二次高考适应性统考数学文试题
2019届四川省广元市高三第二次高考适应性统考数学文试题【市级联考】江西省南昌市2017-2018学年度高三第二轮复习测试卷文科数学(一)试题甘肃省师大附中2019届高三上学期期中模拟文科数学试卷(已下线)2019届神州智达高三诊断性大联考(三)文科数学(预测卷Ⅰ)
解题方法
7 . 某多面体的三视图如图所示,则该几何体的体积与其外接球的表面积之比为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/ccd3154d-cf91-4c2b-9af7-2559032c8493.png?resizew=231)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/ccd3154d-cf91-4c2b-9af7-2559032c8493.png?resizew=231)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-08-27更新
|
491次组卷
|
2卷引用:【市级联考】四川省广元市2019届高三第一次高考适应性统考数学试题(理工类)
名校
解题方法
8 . 已知正三棱锥
内接于球
,三棱锥
的体积为
,且
,则球
的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5227abee7f621734e37101c6a827b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc5309a02ca23109777d32468e6384b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-01-20更新
|
1219次组卷
|
9卷引用:四川省广元市高2018届高三第二次高考适应性统考文科数学试题
9 . 如图,
是以
为直角的三角形,
平面
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/e618330c-c02c-46b8-87fb-7161e51f1ff6.png?resizew=147)
(1)求证:
;
(2)
为线段
上的点,当二面角
的余弦值为
时,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47550fcb04c9bf3a0782784fd8c7a632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5480072a61b457c202dc51f8c5ee4478.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/e618330c-c02c-46b8-87fb-7161e51f1ff6.png?resizew=147)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f479d987bc7abd828c64f9dc745836ab.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4addd1eda028fa61d4731e27b6f8b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f1145c162038df3c7184d9201c628e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994f9f397699534639e9a2c9bacaad44.png)
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10 . 如图四棱锥
,底面梯形
中,
,平面
平面
,已知
.
(1)求证:
;
(2)线段
上是否存在点
,使三棱锥
体积为三棱锥
体积的6倍.若存在,找出点
的位置;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d31600cba2d5256c7e78b6122d6755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d382b96f2d761ec5347cbf912c1e6a.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/712f7375b4ede5f75c0d81870c0f86af.png)
(2)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe0ccf24d760c77535a70c92dad145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e76f6552e20faeba98588e9b5dd01f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/2018/1/11/1857880339120128/1858907873681408/STEM/78541ac226584d888a166234de03e269.png?resizew=222)
您最近一年使用:0次
2018-01-12更新
|
385次组卷
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4卷引用:四川省广元市2018届高三第一次高考适应性统考(文科)数学试题
四川省广元市2018届高三第一次高考适应性统考(文科)数学试题(已下线)2018年高考二轮复习测试专项【新课标文科】热点八 几何体的表面积与体积的求解(已下线)2018年高考二轮复习测试专项【新课标理科】热点八 几何体的表面积与体积的求解2020年普通高等学校招生全国统一考试 文科数学样卷(六)