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圆锥曲线综合 解读
类题推荐
【推荐1】已知椭圆eqIdfd8674e21002436f9476310a52d934ec的左、右焦点为eqId0aa72756ed0c4c7a89f26aa94f43e47deqIdde963a24921f4ee7a991bf9d4f43a42e,长轴端点为eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5ceqIdaad7b72a25924d078d2360cdc99f1090为椭圆中心,eqId4db1ace58ea04db6a776c62ec67c8e9c,斜率为eqId5f816d038c584dc7a249120298677ef3的直线eqId417e80f1349244878d01fe90e0891f5f与椭圆eqId19a4eb16029e4550a14f2afe4741a3c3交于不同的两点,这两点在eqIdc12aac8c2448479687a40735b3572a23轴上的射影恰好是椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的两个焦点.
figure
(1)求椭圆eqId19a4eb16029e4550a14f2afe4741a3c3的方程;
(2)若抛物线eqIdd050af449075401299cc78c647d310e8上存在两个点eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6,椭圆eqId19a4eb16029e4550a14f2afe4741a3c3上存在两个点eqIdd7be5abad1e34f6db17a56660de8d54feqIdca9308a4ebd84ed8a28d8a519a8dbb39,满足eqId2381423d4cd146cab95f55527681a766eqId517584fed25c413ba8b7bb33ffa2d5c6eqIdde963a24921f4ee7a991bf9d4f43a42e三点共线,eqIdd7be5abad1e34f6db17a56660de8d54feqIdca9308a4ebd84ed8a28d8a519a8dbb39eqIdde963a24921f4ee7a991bf9d4f43a42e三点共线,且eqId732aae6386de4962a582f29411686329,求四边形eqId4c30f3f9c9574605ac9074dd045ebfa1面积的最小值.
难度系数:0.4使用:0次题型:解答题更新:2019/6/27
【推荐2】已知抛物线Cy2=3x的焦点为F,斜率为eqIda1c096f0f55441fbbd4d8fd5b3606e28的直线lC的交点为AB,与x轴的交点为P

(1)若|AF|+|BF|=4,求l的方程;

(2)若eqId90a6c04e5d1a46ea9c5742f53c38e61d,求|AB|.

难度系数:0.4使用:1122次题型:解答题更新:2019/6/9
【推荐3】如图,已知点eqId1c8051e9de1b4bd983923dedd3a9f357为抛物线eqId06c219baa2f441a8bb5b63542e399d64,点eqIdd5b10b2a13f148b78e0d5a1b820538fd为焦点,过点eqIdd5b10b2a13f148b78e0d5a1b820538fd的直线交抛物线于eqIdb1303264010b459d9f702b468b17ec1f两点,点eqId19a4eb16029e4550a14f2afe4741a3c3在抛物线上,使得eqId9668c593319f4c908c13e5d6fbf991f8的重心eqId6a80ffe153454bf2b59761fb219aefedeqIdc12aac8c2448479687a40735b3572a23轴上,直线eqIdcf2da96900c948a1b3ce7cbfd420c080eqIdc12aac8c2448479687a40735b3572a23轴于点eqIdca9308a4ebd84ed8a28d8a519a8dbb39,且eqIdca9308a4ebd84ed8a28d8a519a8dbb39在点eqIdd5b10b2a13f148b78e0d5a1b820538fd右侧.记eqId97c8c8e869ae4ddb8e596598710dc5aa的面积为eqIdcf1811e28cc54be9a956d9b17247d7d5.
figure
(1)求eqId6a6835cd184f4cea85a0eb83b0e8444d的值及抛物线的准线方程;
(2)求eqIde5031d96fb8e4371a7e15a2f9db124cd的最小值及此时点eqId6a80ffe153454bf2b59761fb219aefed的坐标.
难度系数:0.4使用:234次题型:解答题更新:2019/6/11
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