已知椭圆
的焦点分别为
.
(1)求以线段
为直径的圆的方程;
(2)过点
任作一条直线l与椭圆C交于不同的两点M,N.在x轴上是否存在点Q,使得
?若存在,求出点Q的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69daca955a565fa537347dd0d93783f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
(1)求以线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643ef7d761de0e794fc39937dc72ac6a.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af74113f38fffeed8075e57d7f9d2533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2d18daac9b56f0bd0ba50701f33393.png)
更新时间:2020-12-26 16:17:54
|
相似题推荐
解答题-问答题
|
适中
(0.65)
名校
【推荐1】已知圆
经过原点
且与直线
相切于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af74113f38fffeed8075e57d7f9d2533.png)
(Ⅰ)求圆
的方程;
(Ⅱ)在圆
上是否存在两点
关于直线
对称,且以线段
为直径的圆经过原点?若存在,写出直线
的方程;若不存在,请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b62194097ac66a5093c57fca2f5b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2af50fdc907b86e9e933046d30cb7d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af74113f38fffeed8075e57d7f9d2533.png)
(Ⅰ)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)在圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231896d2386c924306fce5ccf9f9e8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】如图,在平面直角坐标系
中,已知点
,
,
,
分别为线段
,
上的动点,满足
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/17f16f5b-4fac-4f62-ad47-08003c253d06.png?resizew=305)
(1)若
点恰好与
点重合,求半径为
且与直线
相切于
点的圆的方程;
(2)设
,求证:
的外接圆恒过定点(异于原点).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6646e758862a34d89ee14de8a1ea13b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fbdef5d0c05acbf63fa72fa85c5bb45.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/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f5869d3689fd1df3b954c13fb59412.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/17f16f5b-4fac-4f62-ad47-08003c253d06.png?resizew=305)
(1)若
![](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/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30977872af5ca0b0f0b68feb882f21e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4807ca16360c0cca436e59d4be98f626.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】已知椭圆
的一个焦点与抛物线
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b35f0b940c8422ef47edc3b7ce55e47.png)
的焦点
重合,点
是抛物线的准线与
轴的交点.
(1)求抛物线
的方程;
(2)过点
的直线
与曲线
交于
,
,若
的面积为72,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61179e1eacf6d19d84311bc34e905eff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b35f0b940c8422ef47edc3b7ce55e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75ed10db4b9747a4b6d865b774f6b6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75ed10db4b9747a4b6d865b774f6b6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/ecfb02e157819a2bdd0f2790cbc825e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】已知抛物线
的焦点F与椭圆
的右焦点重合,过焦点F的直线l交抛物线于A,B两点.
(1)求抛物线C的方程;
(2)记抛物线C的准线与x轴的交点为H,试问:是否存在
,使得
,且
成立?若存在,求实数
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc555ee95335fccb1fb911f3d7b2122.png)
(1)求抛物线C的方程;
(2)记抛物线C的准线与x轴的交点为H,试问:是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4186ce3a6b7fdcb4777dfc083afc2e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ed8274256b6192b9dbaf321bb68dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319bdd02464019827584973e66e9b8ab.png)
(
)的上顶点为
,
是
上的一点,以
为直径的圆经过椭圆
的右焦点
.
(1)求椭圆
的方程;
(2)动直线
与椭圆
有且只有一个公共点,问:在
轴上是否存在两个定点,它们到直线
的距离之积等于
?如果存在,求出这两个定点的坐标;如果不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319bdd02464019827584973e66e9b8ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9374d3462754e846cbb0f7dd5fd28277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa5694373bd78b1ca2180f831bf1c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f96b2ea485fcddfa9fa132806ebdc50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e065f25fe2db3986cb5861884d0848af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2391c0e2fc44598610d519dacb778062.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
(2)动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.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/bdaa19de263700a15fcf213d64a8cd57.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐2】M是椭圆T:
1(a>b>0)上任意一点,F是椭圆T的右焦点,A为左顶点,B为上顶点,O为坐标原点,如下图所示,已知|MF|的最大值为3
,且△MAF面积最大值为3
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/bac97e15-3b20-4754-becc-747ef6407c92.png?resizew=199)
(1)求椭圆T的标准方程
(2)求△ABM的面积的最大值S0.若点N(x,y)满足x∈Z,y∈Z,称点N为格点.问椭圆T内部是否存在格点G,使得△ABG的面积S∈(6,S0)?若存在,求出G的坐标,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22ecb9b0a87ab5098571bdf80441231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc34ae358bffe38f2a73ff3b3007b4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc34ae358bffe38f2a73ff3b3007b4ad.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/bac97e15-3b20-4754-becc-747ef6407c92.png?resizew=199)
(1)求椭圆T的标准方程
(2)求△ABM的面积的最大值S0.若点N(x,y)满足x∈Z,y∈Z,称点N为格点.问椭圆T内部是否存在格点G,使得△ABG的面积S∈(6,S0)?若存在,求出G的坐标,若不存在,请说明理由.
您最近一年使用:0次