名校
1 . 双曲线
的左焦点到渐近线的距离为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58fa4a337f0b81b991fb32e8e6e3c0.png)
您最近一年使用:0次
2020-05-30更新
|
269次组卷
|
2卷引用:江苏省盐城市第一中学2020届高三下学期第一次调研考试数学试题
名校
解题方法
2 . 如图,已知点
是
轴下方(不含
轴)一点,抛物线
上存在不同的两点
、
满足
,
,其中
为常数,且
、
两点均在
上,弦
的中点为
.
![](https://img.xkw.com/dksih/QBM/2020/5/26/2471224241242112/2471557526601728/STEM/34a0f579-affb-4ef8-9f1c-c4cde20134dd.png)
(1)若
点坐标为
,
时,求弦
所在的直线方程;
(2)在(1)的条件下,如果过
点的直线
与抛物线
只有一个交点,过
点的直线
与抛物线
也只有一个交点,求证:若
和
的斜率都存在,则
与
的交点
在直线
上;
(3)若直线
交抛物线
于点
,求证:线段
与
的比为定值,并求出该定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c190e3498ab082d575c24a1a66b6da0d.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/6146dc6b175c362c5d140d0c4cc77562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf8cea1c75f46ade5d501cdcb48d155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/2020/5/26/2471224241242112/2471557526601728/STEM/34a0f579-affb-4ef8-9f1c-c4cde20134dd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca280ccbf4426a4e3837e03ac8791d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfec4233214c3a729c843dee0d186db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)在(1)的条件下,如果过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8305c4ffbf876642440c3d28e91e9f.png)
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2020-05-27更新
|
411次组卷
|
2卷引用:江苏省南通市启东中学2020届高三下学期高考预测卷(一)数学试题
解题方法
3 . 在平面直角坐标系
中,以坐标原点为极点,x轴正半轴为极轴建立极坐标系.直线
的极坐标方程为
,椭圆C的参数方程为
(t为参数).若直线
与椭圆C交于A,B两点,求线段AB的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0cca793435b542c3d698b0921eb0e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92a7b03321df3594568bc820343006f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解题方法
4 . 在平面直角坐标系中,
,
分别是
轴和
轴上的动点,若以
为直径的圆
与直线
相切,当圆C面积最小时,圆C的标准方程为______ .
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af175f0d93952178f36edaeda9139ad.png)
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5 . 在平面直角坐标系
中,已知圆
,圆
.若直线
被这两个圆截得的弦长相等,则实数m的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7c30d3629e6a7ff3a2c62a90d34089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8541eeebb08a00f9ab1515447f72f009.png)
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6 . 设P为y
x2﹣2图象C上任意一点,l为C在点P处的切线,则坐标原点O到l距离的最小值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d06d924ecb4611c95c346342e62aa25.png)
您最近一年使用:0次
2020-05-03更新
|
239次组卷
|
4卷引用:2020届江苏省合作联盟学校高三下学期4月模拟数学试题
2020届江苏省合作联盟学校高三下学期4月模拟数学试题江苏省合作联盟学校2019-2020学年高三下学期阶段性调研测试数学试题(已下线)考点10 变化率与导数、导数的计算-备战2022年高考数学一轮复习考点帮(浙江专用)(已下线)专题5 基本不等式在导数中的应用(一题多解)
7 . 在平面直角坐标系
中,已知
在圆
:
上运动,且
.若直线
:
上的任意一点
都满足
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550d183b05000722c74baf25eb4a6741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b0dfa6898f9560ab8a5e5905c1f81f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc81b20f49e5f8165fa3caf5550db97e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2398a2092d9046a5fa2f518e2a4ed6a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2020·江苏·一模
8 . 在平面直角坐标系
中,已知圆
的参数方程为
(其中
为参数,
为正实数).以坐标原点
为极点,
轴正半轴为极轴建立极坐标系,直线
的极坐标方程为
.若直线
与圆
相切于点
,点
是圆
上的一个动点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3930d56755e78d0983b6133a6db903e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/2ee2d478b271cbc89a707e2beb717e42.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f02028a3847c4807c2d3cf0ea7efb8.png)
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名校
解题方法
9 . 已知直角坐标系中起点为坐标原点的向量
满足
,且
,
,
,存在
,对于任意的实数
,不等式
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32fcd19a530192f449725520e6a8d58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be64693c2b037c0161886d0c7259fb96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b978abc7cd7d7031477b1198fcd389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a268dd79c2a5020a01ba0ad0f548d518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/426cac9c1aae454e2cf4655d23f3bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
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名校
解题方法
10 . 在平面直角坐标系
中,已知点
,
,若圆
上有且仅有一对点
,使得
的面积是
的面积的2倍,则
的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee80939187a84e1863eeb192a301c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa7486b5644f884e8282bf23079e3ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aabf1608dd9ef8e8f00ffd2ebe4a82b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c7b00bbc388a57080f7dab4aca8286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d9ba0bfc7955da3e423e0d3147c2fd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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2020-04-17更新
|
154次组卷
|
3卷引用:2019届江苏省南京大学附属中学高三三模数学试题
2019届江苏省南京大学附属中学高三三模数学试题(已下线)专题20 《圆与方程》中的周长与面积问题(1)-2021-2022学年高二数学同步培优训练系列(苏教版2019选择性必修第一册)四川省眉山市彭山区第一中学2023-2024学年高二下学期开学考试数学试题