首页>知识点选题>根据焦点或准线写出抛物线的标准方程
更多:
显示答案
| 共计 645 道试题
已知抛物线eqId91d153665f12451bb66d663cf54c2b6a的焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,点eqId63db14a5b4334f3ea583c8fb12b0d175到直线eqIdf7d441ad989c404e9340dd2cb9708082的距离为eqId65021072e3ee4edc934739d219c8c5e2.
(1)求抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的方程;
(2)点eqId2efda802d5534f6d92d9f8af7aaec28b为坐标原点,直线eqId74c7e0292b094e54ae596d37798a05edeqId439fb93f7745417b8bb1747d963c6e60经过点eqIdafba32bd3674457eb13f950741397020,斜率为eqIdd4bf9298f0db4fb5afb67e0d739f3074的直线eqId74c7e0292b094e54ae596d37798a05ed与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3交于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c两点,斜率为eqId75fdb198d83447e59e31c1f4923cc3bc的直线eqId439fb93f7745417b8bb1747d963c6e60与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3交于eqId0cd8063abf2b458f80091bc51b75a904eqId93cbffaa5ae045d6ac45d1e979991c3a两点,记eqId4ba6433cef174b99baa2bf168226605e,若eqIdfcf74ec1334b4b2099ab28a42660ca57,求eqId5f420ef2d0b94c4b8a5d8e20a5d1ce2c的最小值.
顶点在坐标原点,准线为eqIdce86a3ff06014e889756c903af5d21c4的抛物线的方程为(   )
A.eqIddcd4380c728f43a495cce5036f34b97dB.eqId9d0b2f7d1963449ea4d72f32d937586eC.eqIda807245456b04e3397b6665c0a779287D.eqIdd050af449075401299cc78c647d310e8
已知抛物线eqId7e148e9b5def4bf1af4353dbf1ccc544的焦点为FPC第一象限上一点,以P为圆心的圆过点F且与直线eqId185bd986038b40399cbf19fc634eeb2d相切,若圆P的面积为eqIda0aba3c9a8dd4a4cac52ba27bcd80753,则圆P的方程为(   )
A.eqId45f691ea75dc4c69b433debe7ac8e431B.eqIddd99fa8b73f84910b4622ae847f80d9c
C.eqIda4028bba7e894dd2a1660c258ff9c233D.eqId0d17fbb9f96d4b928007054311d7b26e
已知双曲线eqIda7eb4f6e6fe54c6a964f9ad231fef665的右焦点到其中一条新近线的距离等于eqId49b7b111d23b44a9990c2312dc3b7ed9,抛物线eqId787cca90bc234be38f50edd3d99e4d9a的焦点与双曲线eqId19a4eb16029e4550a14f2afe4741a3c3的右焦点重合,则抛物线eqId93cbffaa5ae045d6ac45d1e979991c3a上的动点eqId2381423d4cd146cab95f55527681a766到直线eqId377a1a863b7c4d568cabbf530025b234eqId9d53e46120f34fb98eba910a8a493dbb的距离之和的最小值为(   )
A.1B.2C.3D.4
已知抛物线eqIdb9c3976d81ef49d8b63a91f723e628c1的焦点到直线eqIdccd91d6af3484b308d3124d8e4b068b6的距离为eqId6c824d0d5deb47e28e58f51519cfb62e
figure
(1)求抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的方程;
(2)如图,若eqId2198039517e849c39f2845c0b1b9ce20,直线eqIda20558bac276438caa0c85b6224a1e5c与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3相交于eqIdeb53cb7cb0274f7d8f111c60f824c243两点,与直线eqId417e80f1349244878d01fe90e0891f5f相交于点eqId2381423d4cd146cab95f55527681a766,且eqIda398a1fa463a4f47899ff64d923f808c,求eqId8890d9b31a3b4e0faddaf6f68a284c56面积的取值范围.
已知抛物线eqId5fa833c2cbd5432a8267ea1d1bc2a3f5恰好经过等腰梯形eqId5ce7a06ae7a34393b92b5277978ac014的四个顶点,eqIdce6f97e7da6d4498b480e6ab85254753eqIdbf4db7d066034b139ff80a09ab139d45的延长线与抛物线E的准线的交点eqIdd6de36823b5540cdbd7557b182789e5d.
(1)求抛物线E的方程;
(2)证明:eqId1b51efe7c2fa42748ac5a6be262e2fa4经过抛物线E的焦点.
已知O是线段KF的中点,|KF|=4.直线l经过点K且与KF垂直,PHl(垂足是H),PO=PF=PH,则eqId37575814be2e4c6fb700b3d2af1cf6f7POF的外接圆半径等于(   )
A.eqIdfb5cdcf0276648c39f2d1b29e9f2d919B.eqId2c8e38bfecf54b9ca82559d00efec765C.eqId5b658826bccb4c28a708186d47db8e2bD.eqId74b57cb50f1944e797e4c325f5b27e33
已知抛物线eqId91d153665f12451bb66d663cf54c2b6a的焦点为eqId63db14a5b4334f3ea583c8fb12b0d175,其准线与eqId8e15963708e9415da25069fea5906e24轴交于点eqId0a66350c0b5f48d59780ffceff19efd5,过点eqId0a66350c0b5f48d59780ffceff19efd5的直线eqId417e80f1349244878d01fe90e0891f5f交抛物线eqId19a4eb16029e4550a14f2afe4741a3c3eqIdeb53cb7cb0274f7d8f111c60f824c243两点,eqId604882d13d0342eaa66ef4996459b75f.
(1)求抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的方程;
(2)当eqIdc765b0225a0845ae8c9bc6629a8289c8时,求直线eqId417e80f1349244878d01fe90e0891f5f的方程.