如图,已知F是抛物线
的焦点,过点
的直线l与抛物线交于两个不同的点M,N(M是第一象限点),MN的垂直平分线交抛物线于P,Q.当直线l的斜率为
时,
.
![](https://img.xkw.com/dksih/QBM/2022/1/20/2898689322057728/2901483171512320/STEM/f00cf0c9985144f29ea2d88414792cb4.png?resizew=219)
(1)求抛物线的方程;
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95e84f5c91c910aaafc5e74dbfbdf59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9db9373e74ecf5d63ad98afe66aa4ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d4a2a035d302744fed6f65daa4ac55.png)
![](https://img.xkw.com/dksih/QBM/2022/1/20/2898689322057728/2901483171512320/STEM/f00cf0c9985144f29ea2d88414792cb4.png?resizew=219)
(1)求抛物线的方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dab9e79198239cda875305fd6809b5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
21-22高三上·浙江金华·期末 查看更多[3]
浙江省金丽衢十二校2021-2022学年高三上学期期末第一次联考数学试题(已下线)临考押题卷01-2022年高考数学临考押题卷(浙江卷)陕西省部分学校2024届高三下学期高考仿真模拟(一)文科数学试题(全国卷)
更新时间:2022-01-24 18:25:32
|
相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】有一块正方形菜地
,
所在直线是一条小河,收货的蔬菜可送到
点或河边运走.于是,菜地分为两个区域
和
,其中
中的蔬菜运到河边较近,
中的蔬菜运到
点较近,而菜地内
和
的分界线
上的点到河边与到
点的距离相等,现建立平面直角坐标系,其中原点
为
的中点,点
的坐标为(1,0),如图
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/10/ee723376-894b-4b4c-aace-2a392dc309a5.png?resizew=154)
(1)求菜地内的分界线
的方程
(2)菜农从蔬菜运量估计出
面积是
面积的两倍,由此得到
面积的“经验值”为
.设
是
上纵坐标为1的点,请计算以
为一边、另一边过点
的矩形的面积,及五边形
的面积,并判断哪一个更接近于
面积的经验值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/10/ee723376-894b-4b4c-aace-2a392dc309a5.png?resizew=154)
(1)求菜地内的分界线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)菜农从蔬菜运量估计出
![](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/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572723938574336/1572723944251392/STEM/295af11b13ba41d295c6c9fe6f8ce03d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589786dd7c3a2679c3230b671cd232d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/2016/6/13/1572723938574336/1572723944251392/STEM/2a5c9b42a8614dcba71af0a885b8655b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
【推荐2】已知圆
,直线
,动圆P与圆M相外切,且与直线l相切.设动圆圆心P的轨迹为E.
(1)求E的方程;
(2)若点A,B是E上的两个动点,O为坐标原点,且
,求证:直线AB恒过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3935dafafc5f643540f7dc493073af85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42502a5730e1930d77d7100d1e34707.png)
(1)求E的方程;
(2)若点A,B是E上的两个动点,O为坐标原点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e52cf89bfe8101e4b97c53916b7ce6b.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】已知抛物线
的焦点F到双曲线
的渐近线的距离为
,且该双曲线的离心率为2.
(1)求抛物线E的标准方程;
(2)过F的两条相互垂直的直线
,其中
交E于A,B两点,
交E于C,D两点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b527ec9f92467b8f24554a2a67ee987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a29c0738fd840c1acadc91365ff366f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求抛物线E的标准方程;
(2)过F的两条相互垂直的直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532fb9d8a0715b513e9e3f144ea264e9.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐2】如图,过点
的直线
与抛物线
交于
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/22/f54766c3-2e36-472a-b716-cb23e317a6f6.png?resizew=161)
(1)若
,求直线
的方程;
(2)记抛物线
的准线为
,设直线
分别交
于点
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ba2238d6afe0187534155dd9ac48c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/22/f54766c3-2e36-472a-b716-cb23e317a6f6.png?resizew=161)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c348601813d70ba64ffca73cf2256f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)记抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be452c8bdea6b4e4c7a6d96e9dc6a51c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bc089fbd4057312e508f1a2df7aa47.png)
您最近一年使用:0次