1 . 已知抛物线
的焦点为
为抛物线
上的任意三点(异于坐标原点
),
,且
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2786fda111d2f8efcb6dc58aa0cbe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba11c7099e4fd590723a0e22aa4bfce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13f9134b42ec02fb4f1290279d0781f.png)
A.![]() |
B.若![]() ![]() |
C.设![]() ![]() ![]() ![]() |
D.若直线![]() ![]() ![]() |
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2 . 如图,已知抛物线
,圆
,过C点的直线l与抛物线和圆依次交于P,M,N,Q,则
等于( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/15/d2b0ec8e-747b-4815-90b1-ec6cc509794a.png?resizew=145)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab276155617fe201dcc71b5f1b54ab75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3172af6f7e8573061f864b92be613631.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/15/d2b0ec8e-747b-4815-90b1-ec6cc509794a.png?resizew=145)
A.1 | B.2 | C.4 | D.8 |
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2022-01-24更新
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1828次组卷
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6卷引用:山西省晋中市2022届高三上学期1月适应性调研数学(文)试题
山西省晋中市2022届高三上学期1月适应性调研数学(文)试题山西省晋中市2022届高三上学期1月适应性调研数学(理)试题山西省朔州市怀仁市第一中学2022届高三下学期第一次模拟数学(理)试题山西省大同市2022届高三上学期期末数学(理)试题安徽省亳州市第一中学2021-2022学年高二下学期开年考数学试题(已下线)专题9 圆锥曲线第二定义的应用 微点3 圆锥曲线第二定义的应用综合训练
3 . 已知抛物线
的焦点为
,点
在抛物线
上,
.
(1)求抛物线
的标准方程.
(2)已知直线
交抛物线
于点
,且
,证明:直线
过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5430c9960ff0507ade83bd23441fe98c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5612529f97bc4c6d2e1803e57ea819e.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](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/83640592853a53872d7af69c0cffc1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2021-05-19更新
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9卷引用:山西省晋中市新一双语学校2021届高考模拟数学(文)试题