组卷网>高中数学综合库>空间向量与立体几何>点、直线、平面之间的位置关系>直线、平面平行的判定与性质>线面平行的判定>证明线面平行
题型:解答题 难度:0.85 引用次数:257 更新时间:2021/5/7 18:03:07 题号:12867893
如图,四棱锥eqId24f61bceda734ef49b7ce950f8744e46中,eqId60ab4210fb474632a8782029a11ccf5f,点eqId63db14a5b4334f3ea583c8fb12b0d175eqId99a3187c2b8f4bcc9703c74c3b72f1f3的中点,点G在线段DC上,且eqIdf14c855072524a7eb8cf44f594f6be9c.
说明: figure
(1)求证:eqIdd7123a62e6b644a997ca644137eb936c平面eqId6f7cf0443ba440fdb0595be4bda232b9
(2)若eqId1269de6296704f16a18fe2aea63563ab平面eqId89fbdcb029be4482b52165366491c70feqIde04b7c37e70a4358b87975440dde8ed6eqId38e9fbcc2ef249c38083b324140293bc,求二面角eqId5a752f45cc4a4161a9c592e79ea810d1的正弦值.

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【推荐1】已知长方体eqId588284d93dc5489295f8f224f8e30d13中,eqIdf035f80c51cc4b6ab0b3221aef5eb847eqIdfc9e3955752c4ef1a6d934498d728ff6EeqIdc0cc73b9034f46ddbeeb31c6bf2c9e92的中点.
(1)证明eqIdfc04a3b5ccbd49739357f0a554862467平面eqId72a49c379cd74a5b8745565b80dfc59d
(2)求直线eqIdce3304c847ca47f486f045a4fbfc0ecd与平面eqId72a49c379cd74a5b8745565b80dfc59d所成角的正弦值.
更新:2020/12/04组卷:338
解答题 | 较易(0.85) |
【推荐2】如图,已知四棱锥的底面为矩形,D为的中点,AC⊥平面BCC1B1
figure
(Ⅰ)证明:AB//平面CDB1;
(Ⅱ)若AC=BC=1,BB1=,
(1)求BD的长;
(2)求B1D与平面ABB1所成角的正弦值.
更新:2017/07/21组卷:233
【推荐3】如图,在三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43中,eqId92c3f8299e50439b8442b2c3bf55669f平面ABCeqId25a5016eff4c4ffb8626215581a21505DE分别是ACeqIdbd70ef61616a454bae30f5691884094b的中点.
说明: figure
(1)求证:eqIdeeb459120eef4dc793dad9320a8dea5d
(2)求证:eqId458d612a81ff4c8db76ea03929eb1694平面eqIde34726e130e14183a5fc4272dc576bfc.
更新:2020/07/16组卷:192
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