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如图,在多面体eqId2588751f06594e188fec5312191ec3a6中,平面eqIde26380849ed449d492cfe2f9e8973edc平面eqId5ce7a06ae7a34393b92b5277978ac014,四边形eqId041ea54dcbeb40308c2dd83660f2cf3b为正方形,四边形eqId5ce7a06ae7a34393b92b5277978ac014为梯形,且eqIdeec1827a5d2841888521a9471977822deqId99ef02e8ce9a4412bb05b19e801c9d1aeqId88f4e1de27bb4951b5ba959a51d379d0
figure
(Ⅰ)求证:eqIdc3e33e534399498cbb3905b3ca4f0ba7平面eqId5e0971e755c24adba699c6b4816dacce
(Ⅱ)求证:eqIdb0f165ed2d8e4524b6c30f463faaf873平面eqId0139652b722b49798a980270e5d2d420
(Ⅲ)在线段eqId1b51efe7c2fa42748ac5a6be262e2fa4上是否存在点eqId2381423d4cd146cab95f55527681a766,使得eqId6928219306984b64b1341b0c5c35c45a平面eqIdb0c10ba23b3a48a2ad1b1618f0a1f37d?若存在,求出eqIdc081d5077efa48b4bfe05b9e19048c52的值;若不存在,请说明理由.
更新:2019/7/18难度系数:0.4题型:解答题组卷:152次
如图,在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqId0cd8063abf2b458f80091bc51b75a904eqId99a3187c2b8f4bcc9703c74c3b72f1f3的中点,eqId513b964714c8461baad486d3ad4ead9ceqId06f3e21903b248f68c55b792d727250aeqId994a9f9335b642f7ade2316e8370c733的面积为eqIda35cf66775a24732b08dc411968e2420.
figure
(Ⅰ)求eqIddea509e7b8a84270b44d4c7cc675dc0e的长;
(Ⅱ)求eqId558148e9cfeb4a05a62ac3c86bcee0c2的值;
(Ⅲ)判断eqId64b9b599fdb6481e9f8d9a94c102300b是否为锐角三角形,并说明理由.
更新:2019/7/18难度系数:0.4题型:解答题组卷:135次
如图,在正方体eqId588284d93dc5489295f8f224f8e30d13中,eqIdd5b10b2a13f148b78e0d5a1b820538fd是棱eqId9773922f56d549e18e0f97d076771cb7上的动点.下列说法正确的是( )
figure
A.对任意动点eqId97e27b61aa384053a5526f74e974dc2f在平面eqIde37223a82dd14db39016756bd377dd6d不存在与平面eqId3a863b4ea75a4f7a9b8015707865c7f3平行的直线
B.对任意动点eqId97e27b61aa384053a5526f74e974dc2f在平面eqId5ce7a06ae7a34393b92b5277978ac014存在与平面eqId3a863b4ea75a4f7a9b8015707865c7f3垂直的直线
C.当点eqIdd5b10b2a13f148b78e0d5a1b820538fdeqId346946f1395a41008d3b3b56c9ae4fbd运动到eqId3f5a5d0fed7d4dc1bcce73cf1b7a92d3的过程中,二面角eqId59a204d0e651425481ae3d1c51059921的大小不变
D.当点eqIdd5b10b2a13f148b78e0d5a1b820538fdeqId346946f1395a41008d3b3b56c9ae4fbd运动到eqId3f5a5d0fed7d4dc1bcce73cf1b7a92d3的过程中,点eqId0cd8063abf2b458f80091bc51b75a904到平面eqId3a863b4ea75a4f7a9b8015707865c7f3的距离逐渐变大
更新:2019/7/18难度系数:0.4题型:单选题组卷:77次
在数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63 中,已知eqIdb91cc12a3c6b4f15a82b3a90c2a54b94,且eqId9a5e77d103154b2487f3f1b6be0d4608.
(Ⅰ)求数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(Ⅱ)求数列eqId180d24e3a5cc44ad938ce5290858e24d的前eqIdf458db68122849abb588feb2e682d9ac项和eqId92ed363a54bd4a8a93df9463bb3af1f5.
更新:2019/7/17难度系数:0.4题型:解答题组卷:303次
eqId41f04097a07d4d03941921a18fc42004,若关于eqIdc12aac8c2448479687a40735b3572a23的不等式eqIdb4aeb5a9f0ef4a698c9f1b59781debe3对任意的eqId477d75926f724fab991e86cecd0c4c7f恒成立,则eqIdd3e739f7f69d4432a1cf3eb7fe0548e9的最大值为_____.
更新:2019/7/17难度系数:0.4题型:填空题组卷:43次
已知平面向量eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d满足eqId46f715936150490ca934483404d932d9,则eqId02154238651c42209f914d627a0b9843的最小值是_____.
更新:2019/7/17难度系数:0.4题型:填空题组卷:114次
设正数eqId4959a8a13c0b40f3a3b076626a4b616c满足eqIdb72ade7adbdd4f12bd5a0eacf69f28aa,则eqId783c5f01aa1e49b29f88c27d2eca4354_____;eqIde6581f86694d4da4afaef4d6876ce375_____.
更新:2019/7/17难度系数:0.4题型:填空题组卷:94次
eqId7431d070400e4b3c9f15d6551249c176,以下选项能推出eqIdb8bb672b651146c1897ebcf908773475的是( )
A.eqId2f65359250334464951edb78bca50055B.eqIdf51c2ddd35224282b76280e251283c96
C.eqId690d8707a1f34c818002e514195fd3b2D.eqId60be48a903c848f3acafd9d9afe032c2
更新:2019/7/17难度系数:0.4题型:单选题组卷:67次
设等差数列eqId2c1230a9ef5a4968be599681d676dd2b的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,公差为eqId096e32e1d18145d199ccbacb5a9a85fe,已知eqId31c7f0521431419b947afa8bdf733bf6eqIdf16684b8419c4093b4dd7d99f38f0344,则( )
A.eqIdb6d53d4f69934549842a0013c6df524cB.eqIde45f13ef898e40a5a23256c31fa84af1C.eqIda868cb425e2848c69d8c63f8b5aa1a6cD.eqId0a83e38b3184440d80892e53141c4e64
更新:2019/7/17难度系数:0.4题型:单选题组卷:156次
已知函数eqId6a6768f243be4a06917d357b2f331889.
(1)若f(-1)=f(1),求a,并直接写出函数eqId6f13759e937144069819aed2ae5a1057的单调增区间;
(2)当aeqId57b3d7f61b5e48a1a1c959fa66d74726时,是否存在实数x,使得eqId4c5ba73e8d1b4c27bfdcfd84f2172318=一eqId6f13759e937144069819aed2ae5a1057?若存在,试确定这样的实数x的个数;若不存在,请说明理由.
更新:2019/7/17难度系数:0.4题型:解答题组卷:82次
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