如图,已知抛物线
与
轴相交于点
,
两点,
是该抛物线上位于第一象限内的点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/4c951471-66ed-4130-9e67-ba6e6422d5c7.png?resizew=190)
(Ⅰ) 记直线
的斜率分别为
,求证:
为定值;
(Ⅱ)过点
作
,垂足为
.若
关于
轴的对称点恰好在直线
上,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c184c17e35b98fe8094cebe9522e1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/4c951471-66ed-4130-9e67-ba6e6422d5c7.png?resizew=190)
(Ⅰ) 记直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180e70ec47e578366cca62df61290460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29212e455dd6df5379ae67f379a32158.png)
(Ⅱ)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfa54114f04a75b8c96165b3718ed7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
更新时间:2020-03-13 23:28:19
|
相似题推荐
解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】已知直线
.
(1)若直线
过点
,且
,求直线
的方程;
(2)若圆
经过点
,且与直线
相切,求圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50c596bb7e7f6a1eee40e57b54c1d57b.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dedfa42c16dd0aefa2928a6e41f3dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐2】(1)已知直线
与直线
平行,求
的值;
(2)已知直线
与直线
互相垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4249ed1c53cc3f0f455cfe411d375a43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2a143ada76db338a10a2bf547aed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539e60533a4cabecf0ea35775112bc0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6ef2d14ec1e0ba6873eb6ae882d7da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题-证明题
|
适中
(0.65)
名校
【推荐1】已知抛物线
经过点
,过点
的直线
与抛物线的另一个交点分别为
.
![](https://img.xkw.com/dksih/QBM/2020/12/18/2616925231210496/2617466498048000/STEM/8b0eba67156a41a8a3e66f60c2660b32.png?resizew=302)
(1)当直线
经过抛物线的焦点时,求弦
的长;
(2)若
,求证:直线
的斜率为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837ddcbaa6d5fe541fec04e9d6aee7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797c488729678e74e0825c2e92b544b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://img.xkw.com/dksih/QBM/2020/12/18/2616925231210496/2617466498048000/STEM/8b0eba67156a41a8a3e66f60c2660b32.png?resizew=302)
(1)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39978841bdbe3d4d968557f8048f223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解答题-证明题
|
适中
(0.65)
解题方法
【推荐2】过函数
的图象
上一点
作倾斜角互补的两条直线,分别与
交与异于
的
,
两点.
(1)求证:直线
的斜率为定值;
(2)如果
,
两点的横坐标均不大于0,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/108c18cb76d7d34b05c991a644c8b136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2595e01e8751886a27862cce04e2d1.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)如果
![](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/62c7b00bbc388a57080f7dab4aca8286.png)
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