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数列eqId93e38ecd74a24cb59da79181b95bfd3a满足:eqIdaef31290bc3446adbd7c4f73ee66766f ,且eqIda888cfe17d3b40c0a244ccc219045e5b ,其前n项和eqId6b457bdaa6f641efbb0c5be8a99c6212.
(1)求证:eqId93e38ecd74a24cb59da79181b95bfd3a为等比数列;
(2)记eqId06c2e0a9b9ee4fb6b9a6451bec167622为数列eqIdeeb4ca98872f4e6d91cea28f43fc0b63的前n项和.
(i)当eqIda08ce385279d41c789695fb651b17890时,求eqId92ed363a54bd4a8a93df9463bb3af1f5
(ii)当eqId15b2ef23779a4d458794735326f82c50时,是否存在正整数eqId3a4208e0040c42ed8b09de2cae9d562e,使得对于任意正整数eqIdf458db68122849abb588feb2e682d9ac,都有eqId9327aaa44eac475f81491e46cbdfcba3?如果存在,求出eqId3a4208e0040c42ed8b09de2cae9d562e的值;如果不存在,请说明理由.
更新:2019/7/15难度系数:0.85题型:解答题组卷:75次
如图,在直三棱柱eqId2cf3aba311bf4a0ca1b06fb7551ddcaf中,eqId532e65ee0ed041878ca0c61b0c554e60eqId1fec314040fa47cdb7ab2439055ba613.
figure
(1)求证:eqIde2a08563fb0140d3b16360de6f7d6c7a平面eqId076f835a1f2c428898c79204bd1d52fd
(2)若点eqId06e60c1a2261437ba646a9bc18a212b1在线段eqId1dcb20a9ce8d4076af5dd64f7066c6d6上,且eqId2c51f5050ef9490b92503c9d8a238b34,求三棱锥eqId89f3214617264b69b5f3b88ab8582108的体积.
更新:2019/7/15难度系数:0.94题型:解答题组卷:118次
已知eqIddb5481de79c946c0a760143297d5eade是等差数列eqId93e38ecd74a24cb59da79181b95bfd3a的前n项和,且eqIdf79b6d41efe14f408cf0b81e883aff78.
(1)求数列eqId93e38ecd74a24cb59da79181b95bfd3a的通项公式;
(2)eqIdf458db68122849abb588feb2e682d9ac为何值时,eqIddb5481de79c946c0a760143297d5eade取得最大值并求其最大值.
更新:2019/7/15难度系数:0.94题型:解答题组卷:319次
关于eqIdc12aac8c2448479687a40735b3572a23的不等式eqIdcf5bbd4c1c244906ba030952b33b198c的解集为eqIdbc336c33d9454c6ca3425c8ff8327e44.
(1)求eqId4959a8a13c0b40f3a3b076626a4b616c的值;
(2)求关于eqIdc12aac8c2448479687a40735b3572a23的不等式eqId39c541e163f84643bca57bfb911c5d0f的解集.
更新:2019/7/15难度系数:0.94题型:解答题组卷:141次
若向量eqIde572f376e86e47379363a8e55e34e0a4eqId01f4f62363874077b28ae109d9dc61d7的夹角为钝角或平角,则eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的取值范围是_____.
更新:2019/7/15难度系数:0.94题型:填空题组卷:106次
用篱笆围一个面积为eqId4b6924acf2c04618bb7eb6be9916b96a的矩形菜园,问这个矩形的长、宽各为多少时,所用篱笆最短,最短的篱笆是(  )
A.30B.36C.40D.50
更新:2019/7/15难度系数:0.94题型:单选题组卷:49次
已知一个圆锥底面半径为1,母线长为3,则该圆锥内切球的表面积为(  )
A.πB.eqId987e56b194844d668db15eaf01ddf6a9C.2πD.3π
更新:2019/7/15难度系数:0.94题型:单选题组卷:104次
已知eqId992fe44057cf4492895193f3f5398449中,eqIdd0fb4a250033453fbb1e03ac71dd45e6eqIdcab72a7c59454fb0b63bfb3821837630,则角eqId8754ce8cf7f34f04abb9a0c041f57f5c等于(  )
A.eqId1edc74f65859408a9089045883fc877aB.eqIdafb7d87600bd4034af3535393d60af0feqId5ff68bd990b5413db38e1673d09d30a2C.eqId5ff68bd990b5413db38e1673d09d30a2D.eqIdfd0574eb6c37424e9563d2d225e24042
更新:2019/7/15难度系数:0.94题型:单选题组卷:172次
已知点eqIdc9488260c8924085a30bb6d8ec748d33,向量eqIdeb5a5318fc744b518e7c84593be53908=(  )
A.eqIdc2cea9dc234b40289d4f515a55491aa8B.eqId59ad6b120ea04deea79716d6781cf6e1C.eqIdae9891b156ab487597b45557b8c818e4D.eqId36070ccf6ae944499bce8e5db29c30aa
更新:2019/7/15难度系数:0.94题型:单选题组卷:117次
已知椭圆eqId93cbffaa5ae045d6ac45d1e979991c3aeqId15bfbddeee0143e08c809ecf76ffb129的左焦点eqId0aa72756ed0c4c7a89f26aa94f43e47d,离心率为eqId5f816d038c584dc7a249120298677ef3,点eqIdd7be5abad1e34f6db17a56660de8d54f为椭圆eqId93cbffaa5ae045d6ac45d1e979991c3a上任一点,且eqIdb101f236459c433896fa5508a7084917的最小值为eqIddd92246ec27c4dd4b35eb1aa5c017072.
(1)求椭圆eqId93cbffaa5ae045d6ac45d1e979991c3a的方程;
(2)若直线eqId417e80f1349244878d01fe90e0891f5f过椭圆的左焦点eqId0aa72756ed0c4c7a89f26aa94f43e47d,与椭圆交于eqId8e6acd891f5c4ee58e49a1a58ccdf866两点,且eqId54ec3e7a25264239ab55e22a546ec30b的面积为eqId5f51ce9cc7fe4412baeb871cceb26665,求直线eqId417e80f1349244878d01fe90e0891f5f的方程.
更新:2019/7/13难度系数:0.65题型:解答题组卷:137次
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