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                                                                                                                eqId914cd72f46cc43368f04613a239cc7b2eqId29af211f86b4433390a8476f11345317.
                                                                                                                (1)求eqId0cad263e79db4fc1b8faabcb02887c7deqId67cb7d51377b4822b1eb296861ccaeaf
                                                                                                                (2)猜想eqIdc86b6f8a3588464f9766a2aa969946ec的值,并加以证明.
                                                                                                                更新:2019/12/7难度系数:0.4题型:解答题组卷:0次
                                                                                                                如图,正三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43的所有棱长均为2,点eqId93cbffaa5ae045d6ac45d1e979991c3aeqIdd5b10b2a13f148b78e0d5a1b820538fd分别在棱eqIdea82c30b37894b1bb742dee61200db07eqIdfe9cbfb067114ce8857e621d77cb5feb上移动,且eqIdb2b513278c6a46448bf39a11214398daeqIdc9ad79bbca3c4b6ab45610aae28c2f10.
                                                                                                                figure
                                                                                                                (1)若eqIdd9692b11f94548e0a1f8a8b2b22dfce2,求异面直线eqId5bc8e1134afb4130a2c2d1a5b3e30dd6eqIdb35a05fd40df4e45a90c95b6795b74b1所成角的余弦值;
                                                                                                                (2)若二面角eqId9e2fd1cffdae4ecab5c4bbf736b45375的大小为eqIdf9db0aee08264a238b9741675591065e,且eqId23ad0d19d6b04dc393ee5de9ce773847,求eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的值.
                                                                                                                更新:2019/12/7难度系数:0.65题型:解答题组卷:0次
                                                                                                                一个盒子中装有大小相同的2个白球、3个红球;现从中先后有放回地任取球两次,每次取一个球,看完后放回盒中.
                                                                                                                (1)求两次取得的球颜色相同的概率;
                                                                                                                (2)若在2个白球上都标上数字1,3个红球上都标上数字2,记两次取得的球上数字之和为eqId86c70780eab347ccb2043d1d7bc9ed96,求eqId86c70780eab347ccb2043d1d7bc9ed96的概率分布列与数学期望eqId5c8997e86f054e5eb65013347a7e3d28.
                                                                                                                更新:2019/12/7难度系数:0.65题型:解答题组卷:0次
                                                                                                                已知向量eqIdb9b06bf252f445b8905d3e1ce78c3900是矩阵eqId1b55a41bf7b84b2b8450d90c2efcbb7e的属于特征值eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的一个特征向量.
                                                                                                                (1)求实数eqId70a27b6ddf6b478285353abb3b1f3741eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的值;
                                                                                                                (2)求eqId1fdd313ba335412d8d5c5bf475415a9b.
                                                                                                                更新:2019/12/7难度系数:0.65题型:解答题组卷:0次
                                                                                                                已知函数eqIdaf5d567c782941bd9ca3e2b5911a8d06.
                                                                                                                (1)当eqId316e2199840e418e87252dba1d7d7ffd时,求函数eqId6f13759e937144069819aed2ae5a1057eqId5db4a4f976ba42089c0439595abeb40b处的切线方程;
                                                                                                                (2)是否存在非负整数eqId70a27b6ddf6b478285353abb3b1f3741,使得函数eqId6f13759e937144069819aed2ae5a1057是单调函数,若存在,求出eqId70a27b6ddf6b478285353abb3b1f3741的值;若不存在,请说明理由;
                                                                                                                (3)已知eqIda64a3fb395fa423e8773c9b38587b332,若存在eqId42be65abb9ad4841a500e124187f201e,使得当eqId71b53a21c98a4fcdaa6bdffba6002326时,eqIdfcaf3bbe14e548cc8d47beb2467db5a0的最小值是eqId2b8a85dd7f1e43febe042c6730ef8002,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.(注:自然对数的底数eqIdcca0588fb1dc4c63878651c783021b45
                                                                                                                更新:2019/12/7难度系数:0.4题型:解答题组卷:0次
                                                                                                                如图,已知椭圆eqId15bfbddeee0143e08c809ecf76ffb129的左、右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,以线段eqId42ca6838695447ed86b53bd3e1c1264b为直径的圆与椭圆交于点eqIdf648905e5b704c4cb6d839228b53bd1b.
                                                                                                                figure
                                                                                                                (1)求椭圆的方程;
                                                                                                                (2)过eqId072d7d6b911b42bc89207e72515ebf5f轴正半轴上一点eqId625014f8d22a40a7bf9b4adef4c7be45作斜率为eqIdc1d1f896a7f14c1e937638c7c4427dae的直线eqId417e80f1349244878d01fe90e0891f5f.
                                                                                                                ①若eqId417e80f1349244878d01fe90e0891f5f与圆和椭圆都相切,求实数eqId32454977564e4ee18da36bd51156c509的值;
                                                                                                                ②直线eqId417e80f1349244878d01fe90e0891f5feqId072d7d6b911b42bc89207e72515ebf5f轴左侧交圆于eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId0cd8063abf2b458f80091bc51b75a904两点,与椭圆交于点eqId19a4eb16029e4550a14f2afe4741a3c3eqId93cbffaa5ae045d6ac45d1e979991c3a(从上到下依次为eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3eqId0cd8063abf2b458f80091bc51b75a904eqId93cbffaa5ae045d6ac45d1e979991c3a),且eqIdc42271f953bd4dedbdcd4779dc9aa003,求实数eqId32454977564e4ee18da36bd51156c509的最大值.
                                                                                                                更新:2019/12/7难度系数:0.4题型:解答题组卷:0次
                                                                                                                为迎接2020年奥运会,某商家计划设计一圆形图标,内部有一“杠铃形图案”(如图阴影部分),圆的半径为1米,eqIdcf2da96900c948a1b3ce7cbfd420c080eqId1b51efe7c2fa42748ac5a6be262e2fa4是圆的直径,eqId93cbffaa5ae045d6ac45d1e979991c3aeqIdd5b10b2a13f148b78e0d5a1b820538fd在弦eqId99a3187c2b8f4bcc9703c74c3b72f1f3上,eqId7412be7a456647e695421020b620936eeqId92869ac114124367b45f631d030ed6bd在弦eqId34c6b6e427744abfb88dc90b8c7c2111上,圆心eqId2efda802d5534f6d92d9f8af7aaec28b是矩形eqIde275f19855c14957bc9a8147322beebe的中心,若eqId7c5e119c878342bfa7741e703513231d米,eqIdb392746f5be94f1dab2615f7f91bb016eqIdeb3f9deeb41d4a449b1defabed889eba.
                                                                                                                figure
                                                                                                                (1)当eqIdb42bc0ae85294d1f9e6800ac7c568097时,求“杠铃形图案”的面积;
                                                                                                                (2)求“杠铃形图案”的面积的最小值.
                                                                                                                更新:2019/12/7难度系数:0.4题型:解答题组卷:0次
                                                                                                                已知圆eqId19a4eb16029e4550a14f2afe4741a3c3eqId9cd8229da488437689daf7275bec51bc,直线eqId417e80f1349244878d01fe90e0891f5f过点eqId2b77cc5da017436abb76ceec24d896d0.
                                                                                                                (1)若eqId417e80f1349244878d01fe90e0891f5f与圆eqId19a4eb16029e4550a14f2afe4741a3c3相切,求eqId417e80f1349244878d01fe90e0891f5f的斜率eqId4d2187284c5d4de29906363f7d21f60f
                                                                                                                (2)当eqId417e80f1349244878d01fe90e0891f5f的倾斜角为eqIdb47bf79338b1478a89eac53d16970cdf时,eqId417e80f1349244878d01fe90e0891f5feqId072d7d6b911b42bc89207e72515ebf5f轴交于点eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId417e80f1349244878d01fe90e0891f5f与圆eqId19a4eb16029e4550a14f2afe4741a3c3在第一象限交于点eqId0cd8063abf2b458f80091bc51b75a904,设eqId39e912d4b521413ca40e4815b54f0229,求实数eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的值.
                                                                                                                更新:2019/12/7难度系数:0.65题型:解答题组卷:0次
                                                                                                                已知关于eqId8e15963708e9415da25069fea5906e24的不等式eqId824f9c156f9b4210b1ff8beb25b2825c的解集为集合eqIdcc614bd3390c4d028df189b234dcc351,函数eqId3a6e88dccadb4bc5a9d04028e76b8888的定义域为集合eqId8754ce8cf7f34f04abb9a0c041f57f5c(其中eqId16b2d18d734d4c27ae5ae88337af4dfb).
                                                                                                                (1)若eqIdc65c99cdd6c04cfe85048bbb17bee998,求eqIdc7e17aac3f664408a20c2c2cbb4f5426
                                                                                                                (2)若eqIde8a388e9bc3e4525a94ff6aa5316e20f,求实数eqId3a4208e0040c42ed8b09de2cae9d562e的取值范围.
                                                                                                                更新:2019/12/7难度系数:0.65题型:解答题组卷:0次
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