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题型:解答题 难度系数:0.85 引用次数:725 更新时间:2019/06/18 03:21:50 题号:8239052
如图,在三棱锥eqId4f24d34f3f3642608b4fb87511765d6b中,eqIdc81330c345854f8ca252a435bc28d604eqId834ec739266647a5865bc6e6f99c4905eqId2b869a8dce39403ca3729b8d7784f43a,点eqIdd5b10b2a13f148b78e0d5a1b820538fdeqIdccfc85989cfa418badd1721049a70165的中点,eqId3c976b63dc464758b3d3df9e5455f30beqId9e75f7e4cfc2435c9b86dcb39cdc3995.
figure
(1)eqId7455da6787584c2c834919228164579e平面eqId69eb70e56e654bc68cee4378cd0e9790
(2)平面eqId1686246f15404e0d892538aa1e3c60f5平面eqId8f9a53068f4a4d23bd33169328722805.
类题推荐
【推荐1】几何特征与圆柱类似,底面为椭圆面的几何体叫做“椭圆柱”,如图所示的“椭圆柱”中,eqId7f41882e8e6045cba85f3096fdbde717eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqIda566dadc6811464aad77af03084bd733eqId2efda802d5534f6d92d9f8af7aaec28b分别是上下底面两椭圆的长轴和中心,eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e是下底面椭圆的焦点,其中长轴的长度为eqId2644c4fd7d684e75ae5ed93cb3581244,短轴的长度为2,两中心eqIda566dadc6811464aad77af03084bd733eqId2efda802d5534f6d92d9f8af7aaec28b之间的距离为eqId807b61b62f09462994e31cf497210538,若eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6分别是上、下底面椭圆的短轴端点,且位于平面eqId64188e9d28e94cbbb885b04f8d3a2b30的两侧.
figure
(1)求证:eqId34f0716ff7f042578cd4f3404d3b83e7∥平面eqId67062ff434f44c22aad4e6aff6a936ca
(2)求点eqId2381423d4cd146cab95f55527681a766到平面eqId67062ff434f44c22aad4e6aff6a936ca的距离;
(3)若点eqIdca9308a4ebd84ed8a28d8a519a8dbb39是下底面椭圆上的动点,eqId7d96442d55df40ac9b9a4b172d8ae3a8是点eqIdca9308a4ebd84ed8a28d8a519a8dbb39在上底面的投影,且eqId6d676a567bc542cca4de387ec3a5c15feqIdab705108d6fa4a2e8e1944091fdd08f6与下底面所成的角分别为eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId4eb56f42ca674f2f9c9101b548763159,试求出eqId8035ba0d4ec54f31be4ea14e56a1c389的取值范围.
难度系数:0.65使用:0次题型:解答题更新:2019/11/12
【推荐2】如图,四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,侧面eqId02dc5b9712104a18adc92a366a8c2455为等边三角形且垂直于底面eqId5ce7a06ae7a34393b92b5277978ac014eqIddf3698dc756047aaa18dc8891cdea435
figure
(1)证明:eqId9ecf4410b2d54ede9ddbeedc983a96e8平面eqId02dc5b9712104a18adc92a366a8c2455
(2)若eqId5a5d209b64be4c89ba94310e9dd692d4的面积为eqId0d0c1fa75a6e48b996537f678838cfb7,求点eqId19a4eb16029e4550a14f2afe4741a3c3到平面eqIdfcd3aba6b7804fb68706ce7697ffa7a3的距离.
难度系数:0.65使用:0次题型:解答题更新:2019/11/11
【推荐3】如图,在棱长为1的正方体eqId588284d93dc5489295f8f224f8e30d13中,点eqId2381423d4cd146cab95f55527681a766eqIdce3304c847ca47f486f045a4fbfc0ecd上移动,点eqId517584fed25c413ba8b7bb33ffa2d5c6eqId1b51efe7c2fa42748ac5a6be262e2fa4上移动,eqId4e2b95b685674317a205c99a13b6cedb,连接eqId996e2048847f41d5a5fe0e2282909254.
figure
(1)证明:对任意eqIdf6a373c3c4454a61af9234d297ce7f82,总有eqId996e2048847f41d5a5fe0e2282909254∥平面eqId4aacc54c93e24f50825e3af20e3dbbdf
(2)当eqId996e2048847f41d5a5fe0e2282909254的长度最小时,求二面角eqId02b938a0b06543deb08b239d77023b6a的平面角的余弦值。
难度系数:0.65使用:92次题型:解答题更新:2019/10/23
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