1 . 如图,二面角
满足半平面
,半平面
内有一点
(不在
上),半平面
内有一点
(不在
上),
在直线
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/a5986f2991d45fbf3578f08f27d9fd7e.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/2020/6/12/2482829240188928/2484373785477120/STEM/fdb69f5e9e8d422993d8dec0ba8ee47e.png?resizew=246)
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解题方法
2 . 如图,在矩形
中,
,
为边
的中点,以
为折痕把
折起,使点
到达点
的位置,且使平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/509b4245-a300-487e-a522-157cc0cc24d3.png?resizew=249)
(1)证明:
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80f51c31583fea58fde645474d60b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c3c8bf858c13b295de56e548116db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c505f9d4513028bb16e274aae96cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/509b4245-a300-487e-a522-157cc0cc24d3.png?resizew=249)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaef9e92d148afff22761d5e027d3ee.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec13727470aa1196755308d6232abfc.png)
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2020-06-14更新
|
431次组卷
|
2卷引用:四川省广元市高2020届第三次高考适应性统考数学(文科)试题
解题方法
3 . 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)
您最近一年使用:0次
4 . 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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5 . 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)
您最近一年使用:0次
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
6 . 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.![]() |
您最近一年使用:0次
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
7 . 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)
您最近一年使用:0次
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
8 . 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
|
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
9 . 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.![]() |
您最近一年使用:0次
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
10 . 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.![]() |
您最近一年使用:0次
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