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已知椭圆eqId19a4eb16029e4550a14f2afe4741a3c3:eqIdc5ecf5c8a6a64d7492c7a2876523baed的右焦点为eqIdd5b10b2a13f148b78e0d5a1b820538fdeqIdcc614bd3390c4d028df189b234dcc351为椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的左顶点,eqIdd7be5abad1e34f6db17a56660de8d54f为椭圆eqId19a4eb16029e4550a14f2afe4741a3c3上异于eqIdcc614bd3390c4d028df189b234dcc351的动点,直线eqIdc390e4cf2bc742088263f6b3d1902201与直线eqId83604a8bccb74330aa114f6b5cb85f67交于第一象限的点eqId2381423d4cd146cab95f55527681a766.若eqIdf863b1006d1840f48c7acdbc987bb9f6eqId6bbbf1f106734bd1be30ad73ee4a0366的面积之比为eqIde1490df2d2c84688942d45fd01c90a85,则点eqId2381423d4cd146cab95f55527681a766的坐标为____.
更新:2019/8/9难度系数:0.4题型:填空题组卷:166次
在四面体eqId5ce7a06ae7a34393b92b5277978ac014中,eqId8f91c607d75a4c0196583ab8979239c1eqIdd98b7f775af648ac85f9be3a60db8d75eqIdf92ea07780c24ce290dc02f2b689f2bb,则它的外接球的表面积eqId422301518fb7482f824f8561a9957217 eqId8fbdf36fcfa44dddb74ad17d601f601d
A.eqId7681784440c04c469bb134c3ea9fb53aB.eqId56e141caa8ec4a35b60c2fd88d1d25e9C.eqId41dd68ce29c14f5c9f7433c7a29883c3D.eqIdc12500d69e0342b3be4db149b0244a7a
更新:2019/8/9难度系数:0.4题型:单选题组卷:624次
已知抛物线eqId355b930c794d448bb844e27360871d86eqIdd5b10b2a13f148b78e0d5a1b820538fd为其焦点,过eqIdd5b10b2a13f148b78e0d5a1b820538fd的直线eqId417e80f1349244878d01fe90e0891f5f与抛物线eqIdbf31c16f10784d76851cf83e57c2eeed交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点.
(1)若eqIdde920cd9ebbf461b9de3c7d24102cc1b,求eqId8754ce8cf7f34f04abb9a0c041f57f5c点的坐标;
(2)若线段eqId99a3187c2b8f4bcc9703c74c3b72f1f3的中垂线eqIda20558bac276438caa0c85b6224a1e5ceqId8e15963708e9415da25069fea5906e24轴于eqId2381423d4cd146cab95f55527681a766点,求证:eqId455452d8c2ce4fe9b6e1b17102b35b56为定值;
(3)设eqId7a121e09cf94401a96a62c05680df30b,直线eqId6f782d71f5a7422aa78bd8204949ce26eqIde9b50933e347462ea824ccc9bf51fc93分别与抛物线的准线交于点eqId1b7d8b87b50e4cfdbf89d48980209a52eqIdf8ef9ec340b848fc8802eec4cf1a8b89,试判断以线段eqId57886e8ee64a47b38ceb50352111f8e4为直径的圆是否过定点?若是,求出定点的坐标;若不是,请说明理由.
更新:2019/11/12难度系数:0.4题型:解答题组卷:0次
在复数列eqId06aaf1cf7d894c8893f9b917a970717d中,eqIda5dceaa4bc404cfea5778a843e1728e2eqIdc2aca0c4c7f4449eb403f82bfd2d7d23,设eqIdbe593dd4f7924ed0bcafce15fb02280d在复平面上对应的点为eqId1b0131cb135242299a71aeac563a4257,则(   )
A.存在点eqId2381423d4cd146cab95f55527681a766,对任意的正整数eqIdf458db68122849abb588feb2e682d9ac,都满足eqId108018e05fa94908ae853e2a9434620e
B.不存在点eqId2381423d4cd146cab95f55527681a766,对任意的正整数eqIdf458db68122849abb588feb2e682d9ac,都满足eqIddcb9133a39c944d08bbfc9dc94ee82ae
C.存在无数个点eqId2381423d4cd146cab95f55527681a766,对任意的正整数eqIdf458db68122849abb588feb2e682d9ac,都满足eqId71a930f786624b7a9ad4f601321a49dc
D.存在唯一的点eqId2381423d4cd146cab95f55527681a766,对任意的正整数eqIdf458db68122849abb588feb2e682d9ac,都满足eqId5371aea414914580bdc236ee3a223e83
更新:2019/11/12难度系数:0.4题型:单选题组卷:0次
从集合eqIdfe810d7787e04f8e8fe952f0e5f76808的子集中选出eqIdc052ddfbd4524f67a79e0e77c2e5656a个不同的子集,需同时满足以下两个条件:①eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7都至少属于其中一个集合;②对选出的两个子集eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c,必有eqId5708183981f3453bbefb6b72d046bfb4eqId4ba4d0833b3746cdac653347b9d6e75d.那么,共有______种不同的选法.
更新:2019/11/12难度系数:0.4题型:填空题组卷:0次
已知二次函数eqId9ae203a2f1474f8aa7863ec4f6681192,若不等式eqId78589ede94d94669a27c18ab91998333的解集为eqId8519d2a28dbb4676b3e0a91ebf1674ea
(1)解关于eqId8e15963708e9415da25069fea5906e24的不等式,eqIdc8da647c119a4b459d183efb860d8a3f
(2)已知实数eqIdcf0e4bb0507e4f2dbf59a7bdad7cf341,且关于eqId8e15963708e9415da25069fea5906e24的函数eqIdd6df3db6a8fb44feaae1d399870e3187的最小值为eqId4e2a05e4ed5345bfa9b26d9fbd866b59,求eqId70a27b6ddf6b478285353abb3b1f3741的值。
更新:2019/11/11难度系数:0.4题型:解答题组卷:0次
已知函数eqId7cfdb5ac27e14639a78c7a25c55009d2,若关于eqId8e15963708e9415da25069fea5906e24的方程eqId28f6ae9e0db849ea9dd53f31b748f12d有三个不相等的实数根,则实数eqId70a27b6ddf6b478285353abb3b1f3741的取之范围是_________.
更新:2019/11/11难度系数:0.4题型:填空题组卷:0次
已知eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c是双曲线eqIdcfc8599bedfb4ab4944abf141f348a9aeqId3327c113c43b4f7191d1fa2c69c46c60eqId982da3835b7946d999cc8604a2ece266eqId8164502d09d44990ac4f2f73ea67e37a)的两个顶点,点eqIdd7be5abad1e34f6db17a56660de8d54f是双曲线上异于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c的一点,eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,射线eqIda668e52822264c18a05bbdd44d38eb84交椭圆eqId3a63d00111554b9e8b896929779a293deqIdd448b721bc2f41f8bed63e9521739ce3于点eqIdca9308a4ebd84ed8a28d8a519a8dbb39,设直线eqId6f782d71f5a7422aa78bd8204949ce26eqIde9b50933e347462ea824ccc9bf51fc93eqId637486d2120c4168921ebc51732d8066eqId80be577ae6c34091b331e3d75c207275的斜率分别为eqIdd4bf9298f0db4fb5afb67e0d739f3074eqId75fdb198d83447e59e31c1f4923cc3bceqIddae44d6ac24149e5b583f762ee0dcf39eqIdeb21caeb0a9f40549601220d1ffa32a5.
(1)若双曲线eqIdcfc8599bedfb4ab4944abf141f348a9a的渐近线方程是eqIdb0464e986eb84c2e967dcb0aa5ea42c5,且过点eqIdb6a2e62fee2041f0ac33c37314517002,求eqIdcfc8599bedfb4ab4944abf141f348a9a的方程;
(2)在(1)的条件下,如果eqId5b67ac2fa6db435ebdcaa2505c76a4f5,求△eqId2ad82ec5aede411092e36b1f308ab763的面积;
(3)试问:eqId1935d7c1587c45d7a8e4d56b496e34ac是否为定值?如果是,请求出此定值;如果不是,请说明理由.
更新:2019/11/11难度系数:0.4题型:解答题组卷:0次
已知函数eqId82d521634b814e14b9d782c7d78f0d23eqId38a1a72a865d4179b3b243977e23dce4上的单调增函数,则关于eqId8e15963708e9415da25069fea5906e24的方程eqIdc3853767484e49808bfb8ba2823abd7f的实根为________
更新:2019/11/11难度系数:0.4题型:填空题组卷:0次
已知函数eqIdfb5513125570466bb8e8a0658ef2e793的反函数为eqId7571eb3c5a4d4a268ff804ce1e997c79.记eqIdfe43a21671894449a3a5d8543541caf6.
(1)求函数eqId70b12356ea3b4733b7c48f21430a17ee的最小值;
(2)集合eqIdaefa791f6ab8450dbada42b9cbef5d02对于任意的eqIdb9626e962daf44ebaf4254c87997f6af,不等式eqId373cd4cd78134f40959aa55f82c0a34b恒成立,求实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围.
更新:2019/11/11难度系数:0.4题型:解答题组卷:0次
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