首页>知识点选题>根据抛物线方程求焦点或准线
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在平面直角坐标系eqId2272a344734c4fb088737b84294f7219中抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的方程为eqId8dbc4547f99747538c733ba330b75b73,点eqId7bfd05f1c0a6430e9953d8a0f822b0d1在抛物线eqId19a4eb16029e4550a14f2afe4741a3c3上,且eqId75a143b898e14ccdb032561fba9da811到抛物线的准线的距离为3.
(1)求抛物线eqId19a4eb16029e4550a14f2afe4741a3c3的方程,并给出其焦点eqId63db14a5b4334f3ea583c8fb12b0d175的坐标;
(2)过定点eqIdf98bae6aa86741ccbdb680bfc8c73fd7且不经过点eqId63db14a5b4334f3ea583c8fb12b0d175的直线eqId417e80f1349244878d01fe90e0891f5f与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3交于eqIdeb53cb7cb0274f7d8f111c60f824c243两点,直线eqId211ab513a02842808eee31b029297b06与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3交于点eqId1b7d8b87b50e4cfdbf89d48980209a52,直线eqId91a3a60f05ba4520a4dfd21420cf28ca与抛物线eqId19a4eb16029e4550a14f2afe4741a3c3交于点eqIdf8ef9ec340b848fc8802eec4cf1a8b89.请问直线eqId57886e8ee64a47b38ceb50352111f8e4的斜率是否为定值?若是,求此定值;若不是,请证明你的结论.
抛物线eqId3d3d4ae66dc54f21946bc78c9b1f4cca的焦点到圆eqIdad20f5848dae4db7bbc40c099fa35536上点的距离的最大值为(   )
A.6B.2C.eqId8bbe0c09f58641f0aa97a192f6c5cf11D.eqIdcc9145deffba4b04b02b623ef022fe7d
已知抛物线eqId0b7226ed6e5d4dffb1c379edcd29d4e3的准线与圆eqId8b07296519ea4d0e9036d33f2fb9145b相切,双曲线eqIdca9bbb19cd4b49ae8f45dbf75ce5374c过点eqId7fb732bc979846a1bc946bfa43f07ee7,则双曲线C的渐近线方程为________.
已知椭圆eqIdfd8674e21002436f9476310a52d934ec的左、右焦点分别为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42eeqIdde963a24921f4ee7a991bf9d4f43a42e也是抛物线eqId787cca90bc234be38f50edd3d99e4d9a的焦点,点eqIdcc614bd3390c4d028df189b234dcc351eqId19a4eb16029e4550a14f2afe4741a3c3eqId93cbffaa5ae045d6ac45d1e979991c3a的一个交点,且直线eqId4640d2096f684733917f4179d5c5b9fd的倾斜角为eqIdd01b7918993a412cb774dea127f210b6,则eqId19a4eb16029e4550a14f2afe4741a3c3的离心率为(   )
A.eqId62ced2cc899440a2946e9f9ab47b73d0B.eqIddd92246ec27c4dd4b35eb1aa5c017072C.eqIda88cfb2567324ef38b006e757b8b1a83D.eqId47eb7f5d137e421597f229247be6a46d