名校
1 . 平面上到两个定点的距离的积为定值的动点轨迹一般称为卡西尼(cassin)卵形线,已知曲线
为到定点
的距离之积为常数4的点
的轨迹,关于曲线
的几何性质有下四个结论,其中错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e048f1811cab0683943eb6ca301fee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
A.曲线![]() | B.![]() |
C.其中![]() ![]() | D.其中![]() ![]() |
您最近一年使用:0次
2020高二·浙江·专题练习
2 . 在长方体
中,
是对角线
上一点,
是底面
上一点.若
,
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422d6c954ab6ba76727cd53acba640cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdda934b45b7143da96a816ce35caa5.png)
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名校
解题方法
3 . 已知正方体
的棱长为
,一只蚂蚁在该正方体的表面上爬行,在爬行过程中,到点
的直线距离为
,它爬行的轨迹是一个封闭的曲线,则曲线的长度是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-04-29更新
|
525次组卷
|
2卷引用:2019届山东省菏泽市郓城第一中学高三下学期一模文科数学试题
解题方法
4 . 在平面直角坐标系
中,已知圆
及点
,设点
是圆
上的动点,在
中,若
的角平分线与
相交于点
,则
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9e6796f834bd176928b408a6c43c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ea4edb43ed51e84f8f5ae5b6a4a841.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/147de24f071e316b68fd2e78e3c84545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/172766b458ea1e95ab1f5cd70bab7463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c846ac5f5576ebb3fb28bba8012f390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ea412665e3af61cb99cc3cd4764e60.png)
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名校
解题方法
5 . 已知点
,动点
满足
.
(1)求点
的轨迹
的方程;
(2)求经过点
以及曲线
与
交点的圆的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e54febc2f971255ddc5ab7986a3d19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71dfa562fe8529f0f92673c2864d3c5d.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1415aebb7b47112003b3d26197703c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
您最近一年使用:0次
2020-04-08更新
|
1677次组卷
|
7卷引用:山东省烟台市2018-2019学年高一下学期期中数学试题
山东省烟台市2018-2019学年高一下学期期中数学试题(已下线)第八单元直线与圆(B卷 滚动提升检查)-2021年高考数学一轮复习单元滚动双测卷(新高考地区专用)四川省南充市阆中中学2020-2021学年高二上学期期中考试数学(文)试题四川省南充市阆中中学2020-2021学年高二上学期期中考试数学(理)试题(已下线)练习20+圆与圆的位置关系-2020-2021学年【补习教材·寒假作业】高一数学(北师大版)(已下线)专题09 直线与圆-备战2021年高考数学(文)二轮复习题型专练?(通用版)(已下线)专题11 直线与圆-备战2021年高考数学(理)二轮复习题型专练?(通用版)
6 . 已知定点
、
,直线
、
相交于点
,且它们的斜率之积为
,记动点
的轨迹为曲线
.
(1)求曲线
的方程;
(2)已知定点
,
,过点
的直线
与曲线
交于
、
两点 ,则直线
与
斜率之积是否为定值,若是求出定值;若不是请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a18a7caa080988802ba1145b4fe4203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2267442b286785e89a0b5fb19b039669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077855b1492bf35aac52f358e5e093ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c7a4e23c0767fccbb53229f4dcacd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077855b1492bf35aac52f358e5e093ca.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602d0265aa2b89076b0cff90853f7cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7393358bb94b0df78fd4e29223257e1.png)
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7 . 已知线段
所在的直线与平面
相交于点
,且与平面
所成的角为
,
,
,
为平面
内的两个动点,且
,
,则
,
两点间的最小距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cef568cfe2fc12a4dec11533ada274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce5256233ba43fccd2732b983d533f08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4dbea6a5faecdd8f6c06cf9fd43a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
A.![]() | B.1 | C.![]() | D.![]() |
您最近一年使用:0次
8 . 在平面直角坐标系
内,有一动点
到直线
的距离和到点
的距离比值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
(1)求动点
的轨迹
的方程;
(2)已知点
(异于点
)为曲线
上一个动点,过点
作直线
的垂线
交曲线
于点
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150193befc6ea4a027990c5cf216351e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd050ed2c70c403379758235904a2cd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2611b3bd448c5f08a5505537819dae62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/20a541b81584a032f571159ea152c85a.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f32c6247426b2d3e6c2ae4bf1baca8e.png)
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9 . 在圆
上任取一点
,过点
作
轴的垂线段
,
为垂足,点
在
上,且
.
(1)求点
的轨迹
的方程;
(2)点
,过点
的直线
交
于
、
两点(不在坐标轴上),直线
、
分别与
轴交于
、
两点,若
与
的面积相等,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b02929f2c80d075cd19e7c026e8f980.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cba284d675a3028d7a8d54f1f8ae70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985b383be47791e0409e542225982299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d6a2bfc85e28d4ed193011b58562d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
10 . 如图,直四棱柱ABCD﹣A1B1C1D1,底面ABCD是边长为6的正方形,M,N分别为线段AC1,D1C上的动点,若直线MN与平面B1BCC1没有公共点或有无数个公共点,点E为MN的中点,则E点的轨迹长度为_____ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/41843d42-c05e-4daa-b175-ae9c96847346.png?resizew=187)
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