组卷网>知识点选题>几何体体积的求法
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填空题 | 较易(0.85) | 2021·全国高一课时练习
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1 . 如图所示,某几何体的下半部分为正方体eqIdb3038cf4ba664410a22fc63cdea203c0,上半部分为正四棱锥eqIddd5f333edd7c4a01b271754239943f8d,若几何体的高为eqId8f65c930571d4ff6aa6a50029d46826e,棱eqIdb60bb1649c8b41cb935771acc097167e,则该几何体的体积为_______.
说明: figure
更新:2021/06/16组卷:5
2 . 如图,平面四边形eqIde4a97a23d4d64c5590ec9965118900b0,其中eqId91080b70e5a94796b549af894e18b93d.将eqId7a004c9db657435db952be9a2365dae5沿eqId0627be51821d4be7b3e024a354815d64折起,使P在面eqIda670baf5d73f4d7689915a00c51820f2上的投影即为eqIdf4222f4e46174ebe8f45772c1a462e66在线段eqIdd3a908032e2b40df95a6d86089b3f682上,且eqId447451d5513e4c7f867899361478c5adeqIde660daa143d5431e96530c61b610d572eqId0fd9ac73d66042c6bbd74f8ccdcbd9fc中点,过eqId31581e8b21734ef88d2a14232de7e7a6作平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac,使eqId0627be51821d4be7b3e024a354815d64平行于平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac,且平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac与直线eqIddea509e7b8a84270b44d4c7cc675dc0e分别交于DE,与eqIdb53b60c33a254a27b9bfd58e818cc7e6交于G
说明: figure说明: figure
(1)求eqId6fa5de92117944c3b108e4cabf20eefc的值;
(2)求多面体eqId470b20eb985f41378679a67c571a373d的体积.
3 . 如图,已知四边形ABCDBCEG均为直角梯形,eqIdeec1827a5d2841888521a9471977822deqIddae5910651ce4c7585eaa0d573600e9d,且eqId0c4ce604ecc34941b669c7bac03cbfe2eqId27b24f6ed30043c0b9aa2ff01873776deqId7b3a67a005e644c680f45da81b5fd6be.
说明: figure
(1)求证:eqId2a18056773804fa4b2f9908017f1e69d平面BDE
(2)求三棱锥eqId06f0796d441c46ad9c8384230a02b091的体积.
单选题 | 较易(0.85) | 2021·浙江高一期末
4 . 正方体的内切球和外接球的体积之比为(   )
A.eqId4940f49b2fbe42fcac021e6bf2cefd0bB.eqId0c95f6e831d641838b635c660234d812C.eqIdeb06edceafed4c1f999ace70d9936c20D.eqIdc20c7edb80544e94983d9b9a6d0352a8
更新:2021/06/15组卷:0
解答题 | 容易(0.94) | 2021·全国高一课时练习
同步
5 . 如图所示,已知长方体eqId588284d93dc5489295f8f224f8e30d13的体积为eqId25ff966f0d37438092ad538565a6569deqIdbedf755e0fdb4d078d6859360706b163eqIde4682078ddd9488281e376503edb4f95的中点,eqId75a143b898e14ccdb032561fba9da811eqId99a3187c2b8f4bcc9703c74c3b72f1f3上的动点,求三棱锥eqId4963233513d244bbbee8292e377eb7b3的体积
说明: figure
更新:2021/06/14组卷:0
解答题 | 容易(0.94) | 2021·全国高一课时练习
同步
6 . 在正四棱锥eqIddd5f333edd7c4a01b271754239943f8d中,点eqId2efda802d5534f6d92d9f8af7aaec28b是底面中心,eqId86c4a8bd06984f52b2aa6b50e3db3be2,侧棱eqIdb959b478dd334eca926b921358002d65,求该棱锥的体积.
更新:2021/06/14组卷:0
填空题 | 容易(0.94) | 2021·全国高一课时练习
同步
7 . 如图,eqIdaeaca38c0f6246e4929c6bab01d21910是体积为1的棱柱,则四棱锥eqId09e3a166b5b746b5b80e029fd6ec248c的体积是________
说明: figure
更新:2021/06/14组卷:0
单选题 | 较易(0.85) | 2021·全国高一课时练习
同步
8 . 正三棱锥的底面周长为eqIddd4bf187d3fd47f6bcc24e568e09643e,侧面都是直角三角形,则此棱锥的体积为(   )
A.eqIde040834dfbee4ba4aa293a5c01e4d034B.eqId317ed84d205b4156847380f7e9f38b08C.eqIdd1ebfa5c81a04d18900d19595d070677D.eqId650bf73d6b904c6a9ee39b0dc18fea28
更新:2021/06/14组卷:0
解答题 | 较易(0.85) | 2021·全国高一课时练习
9 . 若圆锥的表面积是eqId0c10c49813e1469584fef36ab0728e7c,侧面展开图的圆心角是eqIdf1c3337151994ec4b99354c9d54f311c,求圆锥的体积.
更新:2021/06/14组卷:0
解答题 | 一般(0.65) | 2021·浙江高一期末
10 . 已知直角梯形eqId5ce7a06ae7a34393b92b5277978ac014中,eqId8a11724667644b70aae1e409c08dc23d,如图①所示,将eqId16396ab536cf462399ed2cefb9763997沿eqId1b51efe7c2fa42748ac5a6be262e2fa4折起到eqId72e555a8471c47738d440d2129e6a796的位置,如图②所示.
说明: figure
(1)当平面eqIdf44c4706896e4bf58b19cd45d4e2ceaf平面eqId0902deb68f0b430f932caadd41cd761a时,求三棱锥eqIdcfb7384d9e004467be7d32dae3f5bde2的体积;
(2)在图②中,eqId93cbffaa5ae045d6ac45d1e979991c3aeqIdb53b60c33a254a27b9bfd58e818cc7e6的中点,若线段eqIdf54ad2d69a494324ad66b47e51574706,且eqId1972727596fc4dbe9118053dd396fc3c平面eqId3f7ce2ec1da641d9842e8b9a83b2bc31,求线段eqId5d45d8fb0d44499aba2821c93c8c8e0f的长.
更新:2021/06/14组卷:0
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