1 . 若抛物线
的焦点是椭圆
的一个顶点,则
的值为____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d12ebd10f6c0bcf98be52c32b107f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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2 . 已知双曲线
:
(
,
)的一个焦点与抛物线
:
(
)的焦点
重合,它们的一个公共点为
.若
的准线与
轴的交点为
,且
,
,则
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58c43992f9a7bcb73cf5468cd00c31c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0a0328dde917c3e6d0f1ca9ddb6027b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
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3 . 抛物线
的准线方程为
,则实数a的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad4873f1c244d11b57effa0b28e7252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
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2024-03-27更新
|
1498次组卷
|
6卷引用:河南省郑州市2024届高三第二次质量预测数学试题
4 . 已知抛物线的准线方程为
,则抛物线的标准方程为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c98a7f3a8bf384b1dfc1d34aebd46d2.png)
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5 . 已知抛物线的焦点到准线的距离为2,则抛物线的标准方程为______ .(写出一个即可)
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2024高二·全国·专题练习
6 . 已知抛物线C的焦点是直线
与坐标轴的一个交点,则抛物线C的标准方程为_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb3e0b614f6571ee55c33ac08c9a4a9.png)
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7 . 已知离心率为
的双曲线C:
(
)的左焦点与抛物线
的焦点重合,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448f5c45be5e4ee2e189204d334b83fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7540a66d4e68cbe5314079e9c856af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd54e9c5f5a8bdc4ca6434ef2b1e33df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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8 . 抛物线
的焦点坐标为
,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3f65b2379428fb9e758ca744b07e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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9 . 已知抛物线的顶点是坐标原点,焦点是
,则它的标准方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
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