名校
解题方法
1 . 已知点P,Q分别是拋物线
和圆
上的动点,若抛物线
的焦点为
,则
的最小值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce57ee60a8cd96ec9f44253ef8980022.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/6453328405e0ff7ed9313367fed6a958.png)
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2024-06-07更新
|
313次组卷
|
2卷引用:广东省梅县东山中学2024届高三下学期第一次模拟考试数学试题
名校
2 . 在平面直角坐标系
中,O为坐标原点,定义
、
两点之间的“直角距离”为
.已知两定点
,
,则满足
的点M的轨迹所围成的图形面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bea37e25ba5e11e5e2c428996f74e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f61cf4bdc498e0b6926e4f887d0e8a.png)
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2024-04-17更新
|
768次组卷
|
3卷引用:广东省梅州市2024届高三下学期总复习质检(二模)数学试题
名校
解题方法
3 . 已知双曲线
的焦点分别为
、
,
为双曲线上一点,若
,
,则双曲线的离心率为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25119bf2918ad02ef11d3c19f2200dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817581e2753f372b15cbd78218ec1322.png)
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2024-04-01更新
|
747次组卷
|
5卷引用:广东省梅州市梅江区梅州中学2024届高三下学期5月高考仿真考试数学试题
名校
解题方法
4 . 已知圆
,点
在抛物线
上运动,过点
引圆
的切线,切点分别为
,
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6772ef39212697b15057fd96d742886d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb2c5e3b4d493fcf1bbe773ee4b5135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/3f4dfec890cdfdda355e19463f3be813.png)
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2024-03-03更新
|
712次组卷
|
2卷引用:广东省梅州市2024届高三下学期2月总复习检测数学试题
5 . 有下列说法:
①
是
的充要条件;②
是
的充要条件;
③
是
的充要条件;则其中正确的说法有______ 个
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f7c54faca6eac8af5309942062058d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb54b1b3617ebc502cb44194cbcd1dc.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2128a00f52af4427721f0ebba591daa.png)
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6 . 设抛物线C:
的焦点为F,点M在C上,
,若以MF为直径的圆过点
,则C的方程为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff29e80ba6c16e1177e7873a396a7a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
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名校
解题方法
7 . 如图,一个装有某种液体的圆柱形容器固定在墙面和地面的角落内,容器与地面所成的角为
,液面呈椭圆形状,则该椭圆的离心率为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/14/62ba3685-2622-4c32-9592-b8447633fa38.png?resizew=173)
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2023-04-13更新
|
1145次组卷
|
6卷引用:广东省梅州市2023届高三二模数学试题
广东省梅州市2023届高三二模数学试题(已下线)专题06 解析几何专题19平面解析几何(填空题)(已下线)模块六 专题7易错题目重组卷(广东卷)江苏省镇江市句容碧桂园学校2022-2023学年高二下学期期中数学试题江苏省淮安市淮阴中学2023-2024学年高二上学期10月阶段练习数学试题
8 . 设抛物线
与直线
相交于
、
两点,点
是抛物线的焦点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96fb188c48944223b74dc0845b121474.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88eec86c17ca9025e2a6c7db421f5c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aefcbc03a5c916ebb20f891a0fe7e0d.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/96fb188c48944223b74dc0845b121474.png)
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9 . 函数
的最小值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d305a1b0157d60597154f776f8cf85.png)
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名校
解题方法
10 . 已知抛物线
的焦点为
,准线为
,与
轴平行的直线与
和
分别交于
,
两点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.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/81dea63b8ce3e51adf66cf7b9982a248.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/103719a03778afac5607b7b2bc325ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
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2022-09-09更新
|
968次组卷
|
4卷引用:广东省梅州市蕉岭县蓝坊中学2023-2024学年高三上学期第三次质检数学试题