如图,在平面直角坐标系
中,抛物线
与x轴交于A、B两点(点A在点B的左侧),点
与y轴相交于点
,下列结论:①
;②B点坐标为
;③抛物线的顶点坐标为
;④直线
与抛物线交于点D、E,若
,则m的取值范围是
;⑤在抛物线的对称轴上存在一点P,使
的周长最小,则P点坐标为
.其中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae140e4db2c5563e5f902fcbebaac262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f06408895febc126c2ae409e807349c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c3a2f5b0702ea9fbb9dc8904579737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76095b03d243fead89a6493614e4b68a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4d12362d4b8dd25813953e1c5a94b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d37dd8b4de4d89fa1fbdbea364a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da965c376c019dfff7fa31ec63bc113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48befa5d90fafd8bfdb6c90fd241ebfb.png)
A.4个 | B.3个 | C.2个 | D.1个 |
更新时间:2023-05-18 21:15:42
|
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【推荐1】若
,
为二次函数
的图像上的两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deddbfd86b9cfdaec43bf346e2364037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a17d7ba47c5333aef0ee316a54bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb7a129b431f46e5b206d9eb4e6a52a.png)
A.![]() | B.![]() | C.![]() | D.不能确定 |
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【推荐2】抛物线y=3(x+2)2﹣(m2+1)(m为常数)的顶点在( )
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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【推荐1】已知二次函数
,将该二次函数在x轴上方的图象沿x轴翻折到x轴下方,图象的其余部分不变,得到一个新的函数图像(如图所示),当直线
与新图像有3个交点时,m的值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/31/abc63032-312b-49b5-86f5-c745b30c9451.png?resizew=144)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f43c0a8b8e17b8f7923f1baa4dce03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b74381f68eb1e33d412a7a3d62313f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/31/abc63032-312b-49b5-86f5-c745b30c9451.png?resizew=144)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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名校
【推荐2】抛物线
(a,b,c为常数,
)经过
,
两点,下列五个结论:
①一元二次方程
的两根为
,
;
②若点
,
在该抛物线上,则
;
③对于任意实数t,总有
;
④
;
⑤对于a的每一个确定值,若一元二次方程
(p为常数,
)的根为整数,则p的值只有两个.
其中正确的结论是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee07d86765c4fb74ac647742f16bd57c.png)
①一元二次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0736457346c11dd6f458418a4f747ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a52b74ade6b5434aee52b6e56bc694.png)
②若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/578e396775fce048993e98630a947e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60256852fde26d3a3ddca4973fd8bd0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
③对于任意实数t,总有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db4cfc67e51747af1aa25c4bf007d1c.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdffe79a6d7afd83ed914157e618e2df.png)
⑤对于a的每一个确定值,若一元二次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a2dad4e1968586bd34415bb3a67e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd313d4e92a762fb7fb0c1cb65263d.png)
其中正确的结论是( )
A.①③⑤ | B.②④⑤ | C.②③④ | D.①③④ |
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【推荐1】抛物线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
与x轴的一个交点坐标为
,对称轴是直线
,其部分图像如图所示,则一元二次方程
的根是( )
![](https://img.xkw.com/dksih/QBM/2022/12/5/3124517588459520/3127839295610880/STEM/73311b4ac8194c8f836dce1d11b0e4aa.png?resizew=314)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396f2055f52c0c2ce16a6d456df2ae51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d1b0e316f658f4ffe056511101614d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://img.xkw.com/dksih/QBM/2022/12/5/3124517588459520/3127839295610880/STEM/73311b4ac8194c8f836dce1d11b0e4aa.png?resizew=314)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】定义:已知函数
与二次函数
,其中
,
,
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,
,则称这两个函数互为倒函数,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204696a289b1f47a176eb16c1cecf8b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee98f499bbf8e5d1854737d739957dd7.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee8c7112fbe9ba6bb5b1ee10fee4e6e.png)
A.若![]() ![]() ![]() |
B.当两个互为倒函数的图像的开口方向相反时,则它们与![]() |
C.若二次函数![]() ![]() ![]() ![]() |
D.两个互为倒函数的图像必有两个交点 |
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