如图,抛物线
经过A(﹣1,0),B(3,0)两点,交y轴于点C,点D为抛物线的顶点,连接BD,点H为BD的中点.请解答下列问题:
![](https://img.xkw.com/dksih/QBM/2020/2/18/2401787186061312/2402456447713280/STEM/bcc03c27cc424e509a50ef4a9e7859a0.png?resizew=118)
(1)求抛物线的解析式及顶点D的坐标;
(2)在y轴上找一点P,使PD+PH的值最小,则PD+PH的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d88bbd34102b55fa928e8ff83f0d52.png)
![](https://img.xkw.com/dksih/QBM/2020/2/18/2401787186061312/2402456447713280/STEM/bcc03c27cc424e509a50ef4a9e7859a0.png?resizew=118)
(1)求抛物线的解析式及顶点D的坐标;
(2)在y轴上找一点P,使PD+PH的值最小,则PD+PH的最小值为
更新时间:2020-02-19 17:13:03
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【知识点】 线段周长问题(二次函数综合)
相似题推荐
解答题-问答题
|
较难
(0.4)
【推荐1】已知二次函数
的图像经过点
,点
,点
,
(1)求该二次函数的解析式;
(2)如图1,点
为线段
上方抛物线上任意一点,过
作
于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98914a2f34d457acf18e36d3b6eac5f6.png)
轴交
于点
,求
周长的最大值;
(3)在(2)的条件下,
为抛物线上一动点,当
时,求点
的横坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc90b02a4cd1425aabfc192b1cdee17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d57173ef4cd72eb270686875dfd623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36488f7dff759ace2a27e56c3857056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850e01debd266a398b597a1876dbb3ea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/21/ce67d494-6f62-4902-acf1-7d360efbc487.png?resizew=372)
(1)求该二次函数的解析式;
(2)如图1,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a470095e295c734a2f368cc6baf1b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98914a2f34d457acf18e36d3b6eac5f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf53a0a313c6577830d53f664083598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
(3)在(2)的条件下,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9455ecf629e25402b44e8e2ea3c253c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
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解答题-问答题
|
较难
(0.4)
【推荐2】如图,抛物线
为常数,
与
轴分别交于A,
两点
点A在点
的左侧
,与
轴交于点
,且
.
![](https://img.xkw.com/dksih/QBM/2022/9/21/3071335060226048/3343578068025344/STEM/d79ba5da98df42a48c48cf3f19f04ef9.png?resizew=378)
(1)求
的值;
(2)点
是该抛物线的顶点,点
是第三象限内抛物线上的一个点,分别连接
、
、
、
,当
时,求
的值;
(3)点
为坐标平面内一点,
,点
为线段
的中点,连接
,当
最大时,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa3ca1c4931e4bf1e0814049950151f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01437b31b57b442d0c6bd5b0ca8bf61e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c8dbc31b2e14067ef2f34b4e25f114.png)
![](https://img.xkw.com/dksih/QBM/2022/9/21/3071335060226048/3343578068025344/STEM/d79ba5da98df42a48c48cf3f19f04ef9.png?resizew=378)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee72603921c5dddcd01a62ed29ee0fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9aeb4809c34c718ad271f1ebce8da28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c836427f2d32d8f0f750b47d185269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ad8115387158c8dda205d26968ba11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
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