名校
1 . 设抛物线
:
(
)的焦点为
,点
(
)在抛物线
上,且满足
.
(1)求抛物线
的标准方程;
(2)过点
的直线
与抛物线
交于
,
两点,分别以
,
为切点的抛物线
的两条切线交于点
,求三角形
周长的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b35f0b940c8422ef47edc3b7ce55e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2352a78d80e15f1b58c16af70d921dfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df752709d5b0e4d69ae1c3d65db15e64.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/207d3492c085c50a952f4ba58652cb26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec215f280523d64b9dc3f4d03724cf2.png)
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3卷引用:山东省潍坊市2021届高三三模数学试题
2 . 已知F为抛物线
的焦点,直线
与C交于A,B两点且
.
(1)求C的方程.
(2)若直线
与C交于M,N两点,且
与
相交于点T,证明:点T在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9944bcd0c383c1d3d04c6ab90cacced9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc10ea26cfeca34a9443a4554782710f.png)
(1)求C的方程.
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1213c78e338074d8a062cbcc5829e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
您最近一年使用:0次
2021-05-09更新
|
4765次组卷
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23卷引用:云南、贵州、四川、广西四省2021届高三5月模拟联考数学(理)试题
云南、贵州、四川、广西四省2021届高三5月模拟联考数学(理)试题福建省莆田市2021届高三三模数学试卷宁夏银川市第二中学2021届高三下学期二模数学(文)试题宁夏银川市第二中学2021届高三二模数学(理)试题山西省晋城市2021届高三三模数学(理)试题山西省晋城市2021届高三三模数学(文)试题广西2021届高三5月联考数学(文)试题吉林省白山市2021届高三三模联考数学(文科)试题吉林省白山市2021届高三三模联考数学(理科)试题广东省肇庆市百花中学2021届高三下学期5月模拟数学试题辽宁省朝阳市2021届高三高考数学三模试题吉林省白山市2021届高三第四次联考数学(理)试题山东省泰安市与济南市章丘区2021届高三5月联合模拟考试数学试题山东省2021届高三5月份高考数学联考试题湖南省部分学校2021届高三下学期联考数学试题山东省2021届高三5月联考数学试题江苏省南京市金陵中学2021-2022学年高三上学期网课质量检测数学试题甘肃省白银市靖远县2021届高三第四次联考数学(理)试题甘肃省白银市靖远县2021届高三第四次联考数学(文)试题(已下线)考点44 圆锥曲线中的综合性问题-备战2022年高考数学典型试题解读与变式(已下线)专题7 圆锥曲线之极点与极线 微点1 圆锥曲线之极点与极线黑龙江省大兴安岭地区呼玛县高级中学2022届高三上学期期末数学(文)试题(已下线)专题18 圆锥曲线高频压轴解答题(16大核心考点)(讲义)-2
名校
解题方法
3 . 设抛物线
的焦点为
,过点
的动直线
与抛物线
交于
,
两点,当
在
上时,直线
的斜率为
.
(1)求抛物线的方程;
(2)在线段
上取点
,满足
,
,证明:点
总在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2b1410f44205658cea90e9ce85101c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(1)求抛物线的方程;
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019373cf09563ba1416b44935806cacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2fc49f71033cca309f98e2f03ca702b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2021-04-29更新
|
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9卷引用:广东省肇庆市2021届高三下学期第三次统一检测数学试题
广东省肇庆市2021届高三下学期第三次统一检测数学试题广东省湛江市2021届高三下学期二模数学试题安徽师范大学附属中学2021届高三下学期5月最后一卷理科数学试题安徽省六安市第一中学2021届高三下学期适应性考试文科数学试题(已下线)专题3.9 抛物线的综合问题-2021年高考数学解答题挑战满分专项训练(新高考地区专用)(已下线)专题12 定比点差法及其应用 微点5 定比点差法综合训练江西省鹰潭市贵溪市第一中学2022-2023学年高二下学期期中考试数学试题(已下线)第11讲 拓展五:圆锥曲线的方程(定值问题)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第一册)(已下线)通关练17 抛物线8考点精练(3)
名校
解题方法
4 . 如图,
为坐标原点,抛物线
的焦点是椭圆
的右焦点,
为椭圆
的右顶点,椭圆
的长轴
,离心率
.
![](https://img.xkw.com/dksih/QBM/2020/11/3/2585241444573184/2585610113138688/STEM/202a8c7b0c5c424bb95b0768fdcfd61f.png?resizew=265)
(1)求抛物线
和椭圆
的方程;
(2)过
点作直线
交
于
两点,射线
,
分别交
于
两点,记
和
的面积分别为
和
,问是否存在直线
,使得
?若存在,求出直线
的方程;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f80080fac68745fe783b879cccb6140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a2cfc8743c915f45bdccca70ab16648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c7316976a221c051a2c14df80b1347.png)
![](https://img.xkw.com/dksih/QBM/2020/11/3/2585241444573184/2585610113138688/STEM/202a8c7b0c5c424bb95b0768fdcfd61f.png?resizew=265)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc869125145c0139d92490a41bd3918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4807ca16360c0cca436e59d4be98f626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97e50a8cb65a2b304ed8ed5739ff90b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2020-11-04更新
|
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4卷引用:江西省鹰潭市2021届高三高考二模数学(理)试题
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