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已知数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,满足eqId1c8d3c4a25e048a2958ea596020776cf,数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63满足eqId0d28a80fd0c348beb6b49a31b0bbffe2.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3aeqIdeeb4ca98872f4e6d91cea28f43fc0b63的通项公式;
(2)eqId1874bed3c30c4540871e9e2e5520b643eqId1aefce7d6aa14b4d84ee83b8c8e79293,求数列eqId74ef5fe5183946caaee41d8974816a20的前eqIdf458db68122849abb588feb2e682d9ac项和eqId92ed363a54bd4a8a93df9463bb3af1f5
(3)对任意的正整数eqId3a4208e0040c42ed8b09de2cae9d562e,是否存在正整数eqId4d2187284c5d4de29906363f7d21f60f,使得eqId00101c24b7fa4453b597afb6ffcb95e7?若存在,请求出eqId4d2187284c5d4de29906363f7d21f60f的所有值;若不存在,请说明理由.
更新:2019/11/7难度系数:0.4题型:解答题组卷:0次
在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,已知点eqIdd7be5abad1e34f6db17a56660de8d54f,eqId8754ce8cf7f34f04abb9a0c041f57f5c,eqId19a4eb16029e4550a14f2afe4741a3c3坐标分别为eqIdeb5c3407de9c47c9a1997999bf968129eqId7f2708893fda4b26904575cd6c840d94eqId32a7c0b66a7f4530a590764927dcc537eqId93cbffaa5ae045d6ac45d1e979991c3a为线段eqId0627be51821d4be7b3e024a354815d64上一点,直线eqId2d9af29178184d51b6a4bf88a4a43764eqId8e15963708e9415da25069fea5906e24轴负半轴交于点eqIdcc614bd3390c4d028df189b234dcc351,直线eqId9874be182ac5442da8f8776761ba98a5eqIdcf2da96900c948a1b3ce7cbfd420c080交于点eqId0cd8063abf2b458f80091bc51b75a904
figure 
(1)当eqId93cbffaa5ae045d6ac45d1e979991c3a点坐标为eqId49ac376ffd6849629b518490f6710aa5时,求直线eqIdb4cffbb3c7644776b56e1814ba5b764b的方程;
(2)求eqId34cca086c76745a2b820e43df71e1000eqId7db820ca6aaf4f5289771c9bb3f6abb8面积之和eqId1b7d8b87b50e4cfdbf89d48980209a52的最小值.
更新:2019/11/7难度系数:0.4题型:解答题组卷:0次
已知eqId5c66480f7d9b4e499c6209e7f087dfd8.
(1)若对任意的eqIddb2434488713493c848a36c620dcdcaf,不等式eqId6037963c390547f4b194ba806a9eff55上恒成立,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围;
(2)解关于eqId8e15963708e9415da25069fea5906e24的不等式eqId12fdda62b9a94f81bbc4a35bce149d8b.
更新:2019/11/7难度系数:0.65题型:解答题组卷:0次
如图,在直棱柱eqId9881c5faa5cb449bb37fa59b41c76e43中,eqIde24e5d47084f4a3da2abde65c9b95ff8eqIdc5445d462eec4ff39f8ce63c5c6ab93ceqId0cd8063abf2b458f80091bc51b75a904eqId93cbffaa5ae045d6ac45d1e979991c3a分别是棱eqId99a3187c2b8f4bcc9703c74c3b72f1f3eqIdcf2da96900c948a1b3ce7cbfd420c080上的点,且eqIdcf00ae9da63d4881af77194726b4e72a平面eqIde932a97fc208440ea8df9ac8c7f6baf9.
figure
(1)证明:eqId66d409c343f04cfda647f9bfc7da6b2a//eqIdbd70ef61616a454bae30f5691884094b
(2)求证:eqIdcd415946f79047fc80d0f987dfda8ff6.
更新:2019/11/7难度系数:0.85题型:解答题组卷:126次
在锐角eqId992fe44057cf4492895193f3f5398449中,角eqIdcc614bd3390c4d028df189b234dcc351,eqId8754ce8cf7f34f04abb9a0c041f57f5c,eqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1.已知eqIdb5ef3284b9ee49569696325573187892,eqIdc3d80bde10134d07ae618b0c4eaaaa21.
(1)求eqIda5c72393118e49a68010f8a5fbecc8bf的值;
(2)若eqId9be8d8d3bd684e418bad8ac1943e213e,求eqId992fe44057cf4492895193f3f5398449的面积.
更新:2019/11/7难度系数:0.65题型:解答题组卷:0次
如图,在四棱锥eqIdac097205e9cb41279269aadcac3fb6f1中,底面eqId5ce7a06ae7a34393b92b5277978ac014为平行四边形,点eqId2381423d4cd146cab95f55527681a766eqIda4133d812272499891a1f8813d5747f8中点,且eqIde9af456d8e8d4c2aa168436f41292e6d.
figure
(1)证明:eqIda0b826143be84f39822399489e12ec84平面eqId9a5e4b51ade64ac291b9f5303e231da1
(2)证明:平面eqId5346c14ae189426eb85ec11c3774037f平面eqId02dc5b9712104a18adc92a366a8c2455.
更新:2019/11/7难度系数:0.85题型:解答题组卷:0次
eqId992fe44057cf4492895193f3f5398449中,角eqIdcc614bd3390c4d028df189b234dcc351,eqId8754ce8cf7f34f04abb9a0c041f57f5c,eqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqIdad7cefefaba947e1a168bca491c4fca1,若eqId992fe44057cf4492895193f3f5398449的面积为eqId72888bab05ac404080e2810aca415781,且eqIdcc614bd3390c4d028df189b234dcc351,eqId8754ce8cf7f34f04abb9a0c041f57f5c,eqId19a4eb16029e4550a14f2afe4741a3c3成等差数列,则eqId6fd5fc4083ee4e79a9e4a9c42f57596e最小值为______.
更新:2019/11/7难度系数:0.65题型:填空题组卷:0次
已知eqIdd7be5abad1e34f6db17a56660de8d54f,eqIdcc614bd3390c4d028df189b234dcc351,eqId8754ce8cf7f34f04abb9a0c041f57f5c,eqId19a4eb16029e4550a14f2afe4741a3c3是球eqId2efda802d5534f6d92d9f8af7aaec28b的球面上的四点,eqId6f782d71f5a7422aa78bd8204949ce26eqIde9b50933e347462ea824ccc9bf51fc93eqIda4133d812272499891a1f8813d5747f8两两垂直,eqId829c3b65802b41feb4db730b8af793c5,且三棱锥eqId12175c05cfe240a0b8270ee03df1962f的体积为eqIde72c898310bf4fb1a72beeaf8a335d66,则球eqId2efda802d5534f6d92d9f8af7aaec28b的表面积为______.
更新:2019/11/7难度系数:0.65题型:填空题组卷:0次
过点eqIda8cefae4538f4c9b904b4491ca9f377d直线eqId417e80f1349244878d01fe90e0891f5feqId8e15963708e9415da25069fea5906e24轴的正半轴,eqId072d7d6b911b42bc89207e72515ebf5f轴的正半轴分别交于eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6两点,eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,当eqIdd48f1623b5d243fdb979d10b4ca4f0e2最小时,直线eqId417e80f1349244878d01fe90e0891f5f的一般方程为______.
更新:2019/11/7难度系数:0.65题型:填空题组卷:0次
设等比数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,若eqId77b3f6b9955e499dbdab033a38779496eqId9195d2ab91ed4c3582e70be042f00d88,则eqIdde5836d9a77e4e648c784e42488f7df8的值为______.
更新:2019/11/7难度系数:0.65题型:填空题组卷:0次
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