1 . 已知抛物线
的准线方程为
,过其焦点F的直线l交抛物线C于A、B两点,线段AB的中点为M,坐标原点为O,且直线OM的斜率为
.
(1)求实数p的值;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37ab7408ffcefcb8e5e1ad4a9c58f1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(1)求实数p的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
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2021-12-21更新
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3卷引用:宁夏银川一中2021-2022学年高二上学期期中考试数学(理)试题
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解题方法
2 . 已知抛物线
的准线方程为
,过其焦点
的直线
交抛物线
于
两点,线段
的中点为
坐标原点为
且直线OM的斜率为
.
(1)求抛物线
的方程;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a51cbecdf08770d623ed6020a2f73f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589a4d5f5fb135a3144644595774b896.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98914a2f34d457acf18e36d3b6eac5f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dead389315b2c062227aa877c5e486d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a9354a07397b21c33820fc2590e814.png)
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2021-12-15更新
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7卷引用:宁夏银川一中2021-2022学年高二上学期期中考试数学(文)试题
3 . 已知抛物线
为坐标原点,过其焦点的直线交抛物线于
两点,满足
则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25501c6c3d6227e16f06b97dc62fb02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db048240f43a721befdfa2dd1d9fe3d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2021-10-17更新
|
843次组卷
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6卷引用:宁夏石嘴山市平罗中学2021-2022学年高二上学期期中考试数学(理)试题