1 . 已知平面直角坐标系
,一次函数
的图象与
轴交于点
,点
在正比例函数
的图象上,且
.二次函数
的图象经过点
、
.
(1)求线段
的长;
(2)求这个二次函数的解析式;
(3)如果点
在
轴上,且位于点
下方,点
在上述二次函数的图象上,点
在一次函数
的图象上,且四边形
是菱形,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c682405d9bcca65e257ac37ba07d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02430f83e4f662e788d234da3c56ce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2830f2ffd63b07357e6fdab1da9f180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
(2)求这个二次函数的解析式;
(3)如果点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c682405d9bcca65e257ac37ba07d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2 . 若抛物线
的开口方向向下,交
轴于正半轴,则拋物线的顶点位于第___________ 象限.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526fe69179949493cce2f6332e223bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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3 . 已知抛物线
(
)经过点
,顶点为
,与x轴交于C、D两点(点C在点D的左边),与y轴相交于点B.
(1)求该抛物线的解析式;
(2)求点B、C、D三点的坐标;
(3)若点P是x轴上的任意一点,试判断
与
的大小关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a19f3e129db559eafde49b35fb777f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec250913c4ea996f20acc1907da19d5.png)
(1)求该抛物线的解析式;
(2)求点B、C、D三点的坐标;
(3)若点P是x轴上的任意一点,试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13ec9a812274ad0839f20ba17348687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e2c9786c8b1c54d8016b76aa34ee475.png)
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