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eqId34d3a35bcc384f05a4fcdef7de44a5a1是直线eqId417e80f1349244878d01fe90e0891f5f的方向向量,eqId8ab903c0a8f84da0a1c38cf8f6f0fff7是平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac的法向量,则直线eqId417e80f1349244878d01fe90e0891f5f与平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac的位置关系是(   )
A.直线eqId417e80f1349244878d01fe90e0891f5f在平面eqIdc13953f2514e4c8f9c8aaaf5241c33acB.平行C.相交但不垂直D.垂直
更新:2020/05/21难度:0.85题型:单选题组卷:0
已知数列eqId93e38ecd74a24cb59da79181b95bfd3a为等差数列,则下面不一定成立的是(   )
A.若eqIde3a09d7c28a5400995f906d202939fc2,则eqId5f4079adf78a4188886f54b2ddd369c0B.若eqIde3a09d7c28a5400995f906d202939fc2,则eqId21b88a870b184dcaaebe450f8376f334
C.若eqId5f4079adf78a4188886f54b2ddd369c0,则eqIde3a09d7c28a5400995f906d202939fc2D.若eqIde3a09d7c28a5400995f906d202939fc2,则eqIdba7fdeee174044e58e13c13bdaf367e3
更新:2020/05/21难度:0.85题型:单选题组卷:0
过点eqIdbe1458080a8c442fbbc83863be99bb06的抛物线的标准方程为(   )
A.eqIdae3ada09161c4630865ac5d212317b1fB.eqId2c5cdf5931594f20a01c6f87dc9b0dd4C.eqId0fbb690ebc5a4f028f0209266177dd0aD.eqId2c5cdf5931594f20a01c6f87dc9b0dd4eqId0fbb690ebc5a4f028f0209266177dd0a
更新:2020/05/21难度:0.85题型:单选题组卷:0
如果eqIdc1019b1debc848ed94ad007f4a9d3633,那么下面一定成立的是(   )
A.eqIdec716c0d363b4530992a0da0535d598dB.eqId2eadaeac0df2447f875ed282cab2ac82C.eqId1398483bd56e4e7fb62b5381c665ce58D.eqIdba2e5ba6cb1249f2ad42ba5d138805e5
更新:2020/05/21难度:0.85题型:单选题组卷:0
已知函数eqId920da81281884696ab6a5a2529d5dfc0.
(1)若eqIde6bc05af65834eadae84eee21da47156为锐角,eqId44b7d52decf746bc91d28fe756b279eceqId9c798d0f89bf4a1a8019c23489e91c9e,求eqId1f1fbf5277ed495b8a794e2b44f535f4eqIdd66f60b5500b4dfe9f36909f09e23e40的值;
(2)函数eqIdbfa6d1284b714b8286270d1b6ed07011,若对任意eqId8e15963708e9415da25069fea5906e24都有eqIde4c2db7b7d2841fb918516b3b56a595f恒成立,求实数eqId70a27b6ddf6b478285353abb3b1f3741的最大值;
(3)已知eqId67cfb01796ad4d71a0d58c2c1d65e4e7eqIdc325f4eac52c4d02a8c141ec9a12f456,求eqIdc13953f2514e4c8f9c8aaaf5241c33aceqId4eb56f42ca674f2f9c9101b548763159的值.
更新:2020/05/31难度:0.4题型:解答题组卷:0
在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中,已知以eqId2381423d4cd146cab95f55527681a766为圆心的圆eqIde5263cb124ed47488c96440af385697e及其上一点eqId9175a005824b4e019a8d0de7aff7fb72.
figure
(1)设圆eqId517584fed25c413ba8b7bb33ffa2d5c6eqId072d7d6b911b42bc89207e72515ebf5f轴相切,与圆eqId2381423d4cd146cab95f55527681a766外切,且圆心eqId517584fed25c413ba8b7bb33ffa2d5c6在直线eqIdd6d6ed59c47249668715128fd12cc9aa上,求圆eqId517584fed25c413ba8b7bb33ffa2d5c6的方程;
(2)设垂直于eqIdbb9a819299654135a84936d08d832c73的直线eqId417e80f1349244878d01fe90e0891f5f与圆eqId2381423d4cd146cab95f55527681a766相交于eqId8bb868704ca84429be4745c5bb899ffb两点,且eqId24faa5704a0c40529b5823705fc2a73b,求直线eqId417e80f1349244878d01fe90e0891f5f的方程;
(3)设点eqId2cc91d965316418384dc4240f2cd3444满足:存在圆eqId2381423d4cd146cab95f55527681a766上的两点eqIdfcf606636c8549158e75f6db78c50096,使得eqId0fb9537febfe4fa1840ffd8116f993bf,求实数eqId0049fc19eba84da7b19470dcb07a2a6d的取值范围.
更新:2020/05/31难度:0.4题型:解答题组卷:0
为了落实习主席提出“绿水青山就是金山银山”的环境治理要求,某市政府积极鼓励居民节约用水.计划调整居民生活用水收费方案,拟确定一个合理的月用水量标准eqId8e15963708e9415da25069fea5906e24(吨),一位居民的月用水量不超过eqId8e15963708e9415da25069fea5906e24的部分按平价收费,超出eqId8e15963708e9415da25069fea5906e24的部分按议价收费.为了了解居民用水情况,通过抽样,获得了某年200位居民每人的月均用水量(单位:吨),将数据按照[0,1),[1,2),…,[8,9)分成9组,制成了如图所示的频率分布直方图,其中eqId7cd223e841e24e01967cf38b29f8a843.
figure
(1)求直方图中eqId4959a8a13c0b40f3a3b076626a4b616c的值,并由频率分布直方图估计该市居民用水的平均数(每组数据用该组区间中点值作为代表);
(2)设该市有40万居民,估计全市居民中月均用水量不低于2吨的人数,并说明理由;
(3)若该市政府希望使85%的居民每月的用水量不超过标准eqId8e15963708e9415da25069fea5906e24(吨),估计eqId8e15963708e9415da25069fea5906e24的值,并说明理由.
更新:2020/05/31难度:0.65题型:解答题组卷:0
平面四边形eqId5ce7a06ae7a34393b92b5277978ac014,点eqId10bbe48f886a4fa78fdf8c1fd064f9b4均在半径为2的圆上,且eqId4300ab73aca74dadb45010f0787149ad.
figure
(1)求eqId0627be51821d4be7b3e024a354815d64的长;
(2)若eqId7542d1c392fd47679d422e0cbbd67f8feqIdb3873ca5ff8b4b3f8d9cb5590a936955,求eqId5c5102beb2924d8cadbe59fc68134a58的面积.
更新:2020/05/31难度:0.65题型:解答题组卷:0
过点eqId0a26a867c6394778a0edc5437f97b87b作直线eqId417e80f1349244878d01fe90e0891f5f,当eqId417e80f1349244878d01fe90e0891f5f的斜率为何值时.
(1)直线eqId417e80f1349244878d01fe90e0891f5f将圆eqIda728eb32cb8f480881f0a82fc821bcbd平分?
(2)直线eqId417e80f1349244878d01fe90e0891f5f与圆eqIda728eb32cb8f480881f0a82fc821bcbd相切?
更新:2020/05/31难度:0.85题型:解答题组卷:0
在锐角eqId992fe44057cf4492895193f3f5398449中,eqIdf4b17559d9a0413c9302d18ffcae1cf6, _______,求eqId992fe44057cf4492895193f3f5398449的周长eqId417e80f1349244878d01fe90e0891f5f的取值范围.
eqId5677af91a32b49f0aa2af085c3db846ceqId7502c71fb0eb44789cca3c3cdf54529e,且eqIdae1c2bcc29d442eaa2b09df269eb2c1f
eqIdf833de85abed47519c9613b2a7a20b27
eqId0332ecc792df4e70bb12b87f2a0ad394eqId776f251b191c45e5bb0b4197b76e0c21.
注:这三个条件中选一个,补充在上面的问题中并对其进行求解,如果选择多个条件分别解答,按第一个解答计分.
更新:2020/05/31难度:0.65题型:解答题组卷:0
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