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题型:填空题 难度系数:0.4 引用次数:811 更新时间:2019/06/27 07:40:42 题号:8287848
如图所示,正方体eqId588284d93dc5489295f8f224f8e30d13的棱长为1,eqId71891062a8724584af9a2c4c77cd566e为线段eqId0627be51821d4be7b3e024a354815d64eqId8f39d706a505485987ccbb3f6177d72d上的动点,过点eqId90f6330828254ae186021073d060ec28的平面截该正方体的截面记为S,则下列命题正确的是______
figure
①当eqId86c810f61b0e47f3931851148c159ac2eqId36befe82b46e4082ba6c49c494d476b4时,S为等腰梯形;
②当eqId71891062a8724584af9a2c4c77cd566e分别为eqId0627be51821d4be7b3e024a354815d64eqId8f39d706a505485987ccbb3f6177d72d的中点时,几何体eqId5453e2aecf564449889e81ee162858f5的体积为eqIdd056375c2cc745268c01dc2cbaa35258
③当M为eqId0627be51821d4be7b3e024a354815d64中点且eqId45a0a24cb68d41ada0742432320b13cf时,S与eqId3549028b0a264a919e61d7f350198187的交点为R,满足eqIdb64eaaa2dad64dde88c975c46973e3fc
④当M为eqId0627be51821d4be7b3e024a354815d64中点且eqId1e68f8169707452da440d442b3516fd0时,S为五边形;
⑤当eqIde0d882c16d6b48ad983cea20a60c672beqId8ccc108184ee4e7ab9cd4b1ea3b14897时,S的面积eqIde0b8cd3018f64415bea8dce0a25d0538.
类题推荐
【推荐1】eqId8d7e3886bd1d43979905a0748746c039中,已知eqId34057530424b4e289e5919c5dc60455feqId38421d88163840e5bb637e763b82776eeqId0cd8063abf2b458f80091bc51b75a904是斜边eqId99a3187c2b8f4bcc9703c74c3b72f1f3上任意一点(如图①),沿直线eqId34c6b6e427744abfb88dc90b8c7c2111eqId992fe44057cf4492895193f3f5398449折成直二面角eqIdbc292304aab04040918ba1e57bf8c9b5(如图②).若折叠后eqId3804465f6d584f2f9bd4e1ad9a3dc087两点间的距离为eqId096e32e1d18145d199ccbacb5a9a85fe,则eqId096e32e1d18145d199ccbacb5a9a85fe的最小值为_____.figure
难度系数:0.85使用:217次题型:填空题更新:2019/8/16
【推荐2】正方体eqIdf4e653b5f5a14bf7862d9c54a390315e的边长为eqIda2a0ce3781fa4c26b624f5966b7dee44P是正方体表面上任意一点,集合eqId4bd214d07f784045bb27cae5fef4cc7d,满足eqIdc126eb5e474f44328981eb16a7eeb595的点P在正方体表面覆盖的面积为_________;
难度系数:0.65使用:121次题型:填空题更新:2019/9/11
【推荐3】在棱长为1的正方体eqIdef158d2e0ef34909b031b3677329ea0b中,点eqId2381423d4cd146cab95f55527681a766是对角线eqId6736f952eef94c70a9c5dbaa0da8831e上的动点(点eqId2381423d4cd146cab95f55527681a766eqId8c4433c34e9a4d93802f4bb2416858f8不重合),则下列结论正确的是____.
figure
①存在点eqId2381423d4cd146cab95f55527681a766,使得平面eqId5f51e385fc7247c494ff84f3ead19800平面eqId6b2c75e5624046269fe480882bac9ef5
②存在点eqId2381423d4cd146cab95f55527681a766,使得eqId7d4d7ca35b44408681f0a7c9d3c8408d平面eqId7aa687ab89724f9fbba8451fabeec5c0
eqId372ae1001a864e92ae922386a2ee7adc的面积不可能等于eqIda1b78c9af44346ddb4d164e485b4b8a7
④若eqId1a40ecc6335f4d18ad1d170e963a755c分别是eqId22fb2834ece24e6798af07ceaec6bbe7在平面eqIdd2024572a80b4435b5c4a526fbfbb21b与平面eqIddccd92ef73224bd8a9cb93373c00cb54的正投影的面积,则存在点eqId2381423d4cd146cab95f55527681a766,使得eqIdd1820d7d03e14415aaeb6c28bd17719e.
难度系数:0.4使用:330次题型:填空题更新:2019/10/18
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