名校
1 . 已知抛物线
的顶点为
,与
轴的交点为
,则直线
称为抛物线
的伴随直线.
(1)求抛物线
的伴随直线的表达式;
(2)已知抛物线
的伴随直线为
,且该抛物线与
轴有两个不同的公共点,求
的取值范围.
(3)已知
,若抛物线
的伴随直线为
,且该抛物线与线段
恰有1个公共点,求
的取值范围(直接写出答案即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41832590d860f3d58c197dfdb999fae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/895dc3dc3a6606ff487a4c4863e18509.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5109eb35b9c16fc5e128198a1819a44c.png)
(2)已知抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b5062be5cf27ae8089ad0c25d1b7c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbf00cdfb0371bf0744e416986838a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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