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已知eqIdc9a1976ae2ea413fa3ddd9af076ff01d,则“eqId47a6b1c878a8431387dea152a869cde9”是“eqId868aa5132c0642429b55f3f705575443”的(   )
A.充分而不必要条件B.必要而不充分条件
C.充分必要条件D.既不充分也不必要条件
命题p:“eqId40ea7b7b7aa84af28cfc2c4130f62614,都有eqId4e938abf226245b8b54adb89a655fb86”,则命题p的否定为(   )
A.eqId6ce3df45472a440f91f29dc7704762ea都有eqIdd19e92ca5fde42faa7e3fe9a81298b82B.eqId3ac095e1aed6435fb048e8401c1e154a都有eqId4e938abf226245b8b54adb89a655fb86
C.eqId5bc6ff01e80045dea2b508e7e85cb5aa使eqIdefde4e5850e742679f6b80e4fa076982D.eqId2b27fd8fa92c4bdf9e48937e102a01a0使eqIdefde4e5850e742679f6b80e4fa076982
已知椭圆C的焦点为eqIdaeb6a178ce91414698205c4929210bfeeqId485707b3f4094f2aaddd48ff054d78a4P是椭圆C上一点,若椭圆C的离心率为eqId5f816d038c584dc7a249120298677ef3,且eqIdc81066296feb48e190c3cc2e7a705a5aeqId4cd2c77f45b74c709061330d26be4e39的面积为eqId5f816d038c584dc7a249120298677ef3,则椭圆C的方程为(   )
A.eqId770cafb2fbd047b28a5d0d9403c13dedB.eqId15ddf0bba96b4162a10a0bab1fd8a511C.eqId13cded1596f84f69afb14bc671a9e30bD.eqIdde9c1dfe9f6540c6aef544a8f685f562
已知抛物线Cy2=2pxp>0)上一点Mx0,4)到焦点F的距离|MF|eqIdac035935897a4639b3a5cc680e190fbbx0,则p=(   )
A.2B.4C.1D.5
已知eqId417e80f1349244878d01fe90e0891f5f为抛物线eqId9d0b2f7d1963449ea4d72f32d937586e的准线,抛物线上的点eqId2381423d4cd146cab95f55527681a766eqId417e80f1349244878d01fe90e0891f5f的距离为eqId096e32e1d18145d199ccbacb5a9a85fe,点eqIdbedf755e0fdb4d078d6859360706b163的坐标为eqId69d9123201f34e55939cdc46911500a3,则eqIdb3c7ffdef22746ff89a6bf571738490f的最小值是(   )
A.eqId81df204c88464d80854ddc1ebe158911B.4C.2D.eqId6e7d22601964420984ff9afe9e96ada4
已知eqId9bac2bcdd0494a959181d96f131f0e20实数eqIda9cd3f94eb8045438f75e9daccfa7200满足不等式eqIdf61062b984e8402993a82b1b259f7b20eqId2483463407414cd88c038c07118752d0实数eqIda9cd3f94eb8045438f75e9daccfa7200满足不等式eqId588181c991fb45b582125742a6a639d6
(1)当eqId316e2199840e418e87252dba1d7d7ffd时,eqIdc89abe1e4d584e16b3718409cb609213为真命题,求实数eqIda9cd3f94eb8045438f75e9daccfa7200的取值范围;
(2)若eqId0c243e5dded24989821daf9bef2676a6eqIda5d0fc594d4048549d5bbda484fbecc8的充分不必要条件,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
已知命题p:复数eqIdccc447cacba746e69313b7ec79c3f92d的虚部是eqIddb9eca52161d4f52a9deb735b6ad64fc.命题q:复数eqIdccc447cacba746e69313b7ec79c3f92d的模是eqIdcd9b24a6a6e5426ab775be20461174e3.下列命题为真命题的是(   )
A.eqIdc89abe1e4d584e16b3718409cb609213B.eqId58e985f4c1274617875fade491b4d643C.eqIde91021df9631401ba5e57741844c5370D.eqId7596ba99a1414793822f5ccf9946a4c8
已知椭圆eqIdfd8674e21002436f9476310a52d934ec的离心率为eqId49b7b111d23b44a9990c2312dc3b7ed9,左、右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,且eqIdde963a24921f4ee7a991bf9d4f43a42e到直线eqId1551fd19717b42db9943ee4edc2e0d3c的距离为eqId8e8ed9a6fd744015b4be9df39d964dbb
(1)求椭圆C标准的方程;
(2)过eqId0aa72756ed0c4c7a89f26aa94f43e47d的直线m交椭圆CPQ两点,Q为坐标原点,以OPOQ为邻边作平行四边形OPDQ,是否存在直线m,使得点D在椭圆C上?若存在,求出直线m的方程;若不存在,说明理由.