已知:函数
的图象与
轴相交于点
两点
,与
轴相交于点
,
.
(1)求抛物线的解析式且写出其顶点坐标;
(2)连结
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d88bbd34102b55fa928e8ff83f0d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0200bb2c3cc080a5d1ecf36f80aea0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d3c0e7508ff7fd36faba07a0aa41ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62855ff21228ecea8e28fd0fbeb814ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419504736c4934f6e0df4114c3743944.png)
(1)求抛物线的解析式且写出其顶点坐标;
(2)连结
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cca04b2a2b61d62a809776670a60c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d08f0ab6e573253450e03427e13db1.png)
2020九年级·云南昭通·学业考试 查看更多[3]
更新时间:2020-07-07 06:41:33
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解答题-问答题
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适中
(0.65)
【推荐1】抛物线
(b、c为常数)与x轴交于
、B两点(A点在B点左侧),与y轴交于点
.点P在该抛物线上且在x轴上方,设其横坐标为m.
(1)直接写出b,c的值:
_____,
______;
(2)连结
、
.当
时,求m的值;
(3)过点P作x轴的平行线与直线
交于点Q,
两点的距离记为d.请直接写出根据d的不同取值所对应的点P个数情况.(补充说明:当两点重合时,记
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d88bbd34102b55fa928e8ff83f0d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c052d7af2f98d95bac8725b608fba0fc.png)
(1)直接写出b,c的值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
(2)连结
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66023e340d95e89e83c6896faf71fd4.png)
(3)过点P作x轴的平行线与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85fa64abb0036dbff6a29f01b0c03899.png)
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【推荐2】如图,点P是∠α的边OA上的一点,已知点P的横坐标为6,若tanα=
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/3/c993bbe3-4871-4363-8d61-5118233f0b6c.png?resizew=133)
(1)求点P的纵坐标;
(2)求∠α的正弦值、余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/3/c993bbe3-4871-4363-8d61-5118233f0b6c.png?resizew=133)
(1)求点P的纵坐标;
(2)求∠α的正弦值、余弦值.
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【推荐1】如图,已知抛物线
与x轴交于
,
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/1a660570-89fc-4f28-b901-a98701d56484.png?resizew=176)
(1)求b,c的值;
(2)点E为抛物线
上一点,且点E在x轴上方,连接
,以点E为直角顶点,
为直角边,作等直角
,使得点D恰好落在直线
上,求出满足条件的所有点E的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56054d2a0a992e40b07971169e955486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c711aa02ce2dcbf03a3f8fd5eddc3cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cddfc53bb8f31b1847dc4e5982e308a6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/1a660570-89fc-4f28-b901-a98701d56484.png?resizew=176)
(1)求b,c的值;
(2)点E为抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56054d2a0a992e40b07971169e955486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e6a15bb6ff898075978846928a0398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7e66aae2e0bc0d5b5a3ffa7e4d9221.png)
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【推荐2】抛物线y=﹣
x2与直线y=kx﹣2k+3交于A,B两点,若∠AOB=90°,求k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/b0536e5b-0574-43a4-a6d7-b9c8e61cad6e.png?resizew=164)
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