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已知等比数列eqId93e38ecd74a24cb59da79181b95bfd3a的公比eqId276624c272304a2aaa12f41747555603,前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,且满足eqIdcd3b319390c54dccad7d244c58cfb79a.eqIdc0ef009cc1304bed98b984dd614f370eeqIdd94fd311c3b041f4a9efe4e301bd893eeqIdbc49594bcc9447658e2d07e79eede087分别是一个等差数列的第1项,第2项,第5项.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)设eqId77ffe589f8a242dbb12c0d08b21bb5b9,求数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前eqIdf458db68122849abb588feb2e682d9ac项和eqId1c7c01488de74ef0834b18ba2fb56e7d
(3)若eqId39a4e55098ef47f3a6670b17efabadbceqId74ef5fe5183946caaee41d8974816a20的前eqIdf458db68122849abb588feb2e682d9ac项和为eqId92ed363a54bd4a8a93df9463bb3af1f5,且对任意的eqId532dc4d959024b79b546428f5856e5aa满足eqId207810b289ad4d8ca5604e7a81446209,求实数eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的取值范围.
更新:2019/10/26难度系数:0.65题型:解答题组卷:232次
如图,在四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,底面eqId5ce7a06ae7a34393b92b5277978ac014为矩形,eqIde30be48d9d4647fda2478dbc31ab7590为等边三角形,且平面eqId15440cee295147c8a2f06780ecb55130平面eqId5ce7a06ae7a34393b92b5277978ac014.eqId7412be7a456647e695421020b620936eeqIdd293923b221045898dcc5442f88aa67a的中点,eqId2381423d4cd146cab95f55527681a766eqId0627be51821d4be7b3e024a354815d64的中点,过点eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3eqId7412be7a456647e695421020b620936e的平面交eqId6f782d71f5a7422aa78bd8204949ce26eqId92869ac114124367b45f631d030ed6bd.
figure
(1)求证:eqIda6ed46f0c7a54ce9b1102157d27d92f7平面eqId83e13ba429bb426fb39bd7720a82c64c
(2)若eqIdac97046b9e054d908dc8770f5bff8eac时,求二面角eqId5f910f60083a4eb1936ffd06d58710ce的余弦值.
更新:2019/10/26难度系数:0.65题型:解答题组卷:96次
eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1,向量eqId04511d7d5adf4fecb159600eca48362f与向量eqId0cda99375e40486dad3461e13a5b15b4共线.
(1)若eqId3ded46db8bc945d498e98948069dcb1b,求eqIdfdee9b73b6184f93927a6450b5313451的值;
(2)若eqId2381423d4cd146cab95f55527681a766eqIdcf2da96900c948a1b3ce7cbfd420c080边上的一点,且eqIda9793a201059493f936689c809f5c3bf,若eqIda91c1cc3600e4aabb12a8ccd0ca4ce8eeqId84d89de8bdfb4aaca7967c5e60408f42的角平分线,求eqId83f509320d0447cabe8c203166437693的取值范围.
更新:2019/10/26难度系数:0.65题型:解答题组卷:101次
如图,eqId99a3187c2b8f4bcc9703c74c3b72f1f3为圆eqId2efda802d5534f6d92d9f8af7aaec28b的直径,点eqId93cbffaa5ae045d6ac45d1e979991c3aeqIdd5b10b2a13f148b78e0d5a1b820538fd在圆eqId2efda802d5534f6d92d9f8af7aaec28b上,eqId6b53a40c5633437d9802e447cd682751,矩形eqId5ce7a06ae7a34393b92b5277978ac014和圆eqId2efda802d5534f6d92d9f8af7aaec28b所在的平面互相垂直,已知eqIdb60bb1649c8b41cb935771acc097167eeqId298ed72d15fc4335ba1231e539617d48.
figure
(1)求证:平面eqIdbeb9814b605b43d4b321764cef4af533平面eqIdeb5dd9e32ac6429792696965a1a1e349
(2)当eqIdded28dbc6ca54681ab966fe6545c6cdc时,求多面体eqId098d950fee3448a6893d973363abae27的体积.
更新:2019/10/26难度系数:0.65题型:解答题组卷:82次
已知直线eqIdb698df447bfd453284506741cb88b522eqId60a7420c05144233bf033188cee94fd9平行.
(1)求实数eqId3a4208e0040c42ed8b09de2cae9d562e的值:
(2)设直线eqId417e80f1349244878d01fe90e0891f5f过点eqIda8cefae4538f4c9b904b4491ca9f377d,它被直线eqId74c7e0292b094e54ae596d37798a05edeqId439fb93f7745417b8bb1747d963c6e60所截的线段的中点在直线eqId00462f12710341628b34169576f8706b上,求eqId417e80f1349244878d01fe90e0891f5f的方程.
更新:2019/10/26难度系数:0.85题型:解答题组卷:257次
已知函数eqId81e9392c08724587870c0c57f5dc9d7aeqId4837c94ef0ff4dcf9b1dda4df363275a的最大值为_____.
更新:2019/10/26难度系数:0.65题型:填空题组卷:61次
如图,在正方体eqId588284d93dc5489295f8f224f8e30d13中,点eqIdd5b10b2a13f148b78e0d5a1b820538fd是线段eqId3be2cc74b5df4257b116d1672859cb5e上的动点,则直线eqId873917159fe94fd1923caa8936c985c3与平面eqIdb1801fb83d5b412ca5006dd8e999a491所成的最大角的余弦值为________.figure
更新:2019/10/26难度系数:0.65题型:填空题组卷:57次
九连环是我国从古至今广泛流传的一种益智游戏,它用九个圆环相连成串,以解开为胜.据明代杨慎《丹铅总录》记载:“两环互相贯为一,得其关捩,解之为二,又合面为一”.在某种玩法中,用eqIdef9cef8e6d054d8dac46b8cde14953ad表示解下eqIde50013c34959426da8bad8fb15f44623个圆环所需的移动最少次数,eqId93e38ecd74a24cb59da79181b95bfd3a满足eqId77b3f6b9955e499dbdab033a38779496,且eqId45d29bd8863b457c8ec5d9ec9f9c1126,则解下4个环所需的最少移动次数为_____.
更新:2019/10/26难度系数:0.85题型:填空题组卷:37次
在平面直角坐标系中,点eqIda8cefae4538f4c9b904b4491ca9f377d到直线eqId312e64547fa244caafa4bb8b9fe657bb的距离为______.
更新:2019/10/26难度系数:0.85题型:填空题组卷:94次
若正项数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,满足eqIdbfa65ff6bd6c495fb13bbdc22fc693a5,则eqId53c9b6673b204d479103286ea31d4a99eqIde2b2d5de3aa14f8e8de8707606c78817( )
A.eqId101f2513f4b84f258ff240e4f5c06138B.eqIda5561c19d79a4dbaad63dae30a392cbbC.eqIdfd8bf66e811b4925b7b522c027937b01D.eqId659ff8f684ab41699d20264c2012c841
更新:2019/10/26难度系数:0.4题型:单选题组卷:127次
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