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【推荐1】已知:在四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,eqId6ff2a0712cd64ae9a7d336ca3b8284dbeqId729bde2031de4fa7ae98a9a4041f6d68eqId92869ac114124367b45f631d030ed6bdeqIde9b50933e347462ea824ccc9bf51fc93的中点,eqId3f34d6ee9df6437495c999b94bcdb2dc是等边三角形,平面eqId9174dc3b874545daa5de88a42acf01b3平面eqId5ce7a06ae7a34393b92b5277978ac014.
figure
(Ⅰ)求证:eqId8cc158a6323a44578492328b34510c59平面eqId82cefa9ee1bd419bae2dcfa900c53192
(Ⅱ)求二面角eqId206eea39eed942838c4b3d676e5637e7的余弦值.
难度系数:0.65使用:74次题型:解答题更新:2019/6/20
【推荐2】如图,在三棱锥eqIdb55d3c7b977d4b51b0dd9016b5c6f1e8中,eqIde130b83a92ed480b9ef3b28c0cf628a9,侧面eqId4d10816441404717b176af33695dbafd底面eqId89fbdcb029be4482b52165366491c70feqIdadbcad4eca68463fbf9beba120df499feqId0cd8063abf2b458f80091bc51b75a904为线段eqId99a3187c2b8f4bcc9703c74c3b72f1f3上一点,且满足eqId9bda519b9b374ae59f9ddd20b2874ab4.
figure
(1)若eqId93cbffaa5ae045d6ac45d1e979991c3aeqIdcf2da96900c948a1b3ce7cbfd420c080的中点,求证:eqIdfdc492d3e5a44d2e88e0a37a7615cb47
(2)当eqId9dd1d2bdf3d1406c819b69632a9c8e01最小时,求二面角eqId49d9c5fc5d854bf28285460a87fe7fee的余弦值.
难度系数:0.65使用:79次题型:解答题更新:2019/6/20
【推荐3】如图所示,在多面体eqId1b1b6916029c4b4c89c809f0c93586f9中,四边形eqId5ce7a06ae7a34393b92b5277978ac014是边长为2的菱形,且eqId613355b0959a4195986134e76de21865,平面eqId1155b858b8b5458590ed5313df4a416d平面eqId5ce7a06ae7a34393b92b5277978ac014eqId491a8ca0b34a42ff9ada99fffe3f5883eqIdb68684abb8ee4ddd8521b4d881bc0c58eqId624ead457bfc42928d5a00d01f311cf1eqIde84e0278d905475dbdfd36c2a4101592的中点.
figure
(1)求证:eqIda7279dc94edf42de9300f5f80bd241ec平面eqId5ce7a06ae7a34393b92b5277978ac014
(2)若eqIdf2cffedf9c4f450297483c9f058580f0为等边三角形,eqIdca9308a4ebd84ed8a28d8a519a8dbb39为线段eqIdbf3c8333111643ec975d03c2e117f870上的一点,求三棱锥eqId4e6c8c3079c249259d1e4b98879e1ce4的体积.
难度系数:0.65使用:127次题型:解答题更新:2019/6/14
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