已知抛物线
(a,b,c是常数,且
,
)的图象经过点
,其中
,现有四个结论:①
;②
;③当
时,y随x的增大而增大;④关于x的一元二次方程
必有一个小于2的正实数解.其中正确的结论的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8317fc91d04b45040abc773e31689a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4630bb948780be53bc73d9ddef875000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
A.1个 | B.2个 | C.3个 | D.4个 |
更新时间:2024-05-20 14:05:16
|
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【推荐1】已知二次函数
的图像有最高点,那么a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd3886304a29f7d703c8ab6892c5413.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】二次函数y=x2+2mx+m2-1,在1≤x≤2时,y≥0.则m的取值范围是( )
A.m≥0或m≤-1 | B.m≥0或m≤-3 | C.m≥2或m≤-1 | D.m≥2或m≤-3 |
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【推荐1】已知二次函数
的图像如图所示,在下列
个结论中:①
;②
;③
;④
. 正确的个数是( ).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/3be83ee2-ba3a-404f-bd86-b7e31823a144.png?resizew=148)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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名校
【推荐2】如图,是二次函数
(a,
,
是常数,
)图象的一部分,与x轴的其中一个交点在点
和
之间,对称轴是直线
.对于下列说法:①
;②
;③
;④
(m为实数);其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c3a2f5b0702ea9fbb9dc8904579737.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da04f641c850a75a63031d5aed2e0625.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/6/d9c3f5da-333e-4404-a9ba-9d3ef9a1513e.png?resizew=165)
A.①②③ | B.①②④ | C.①③④ | D.②③④ |
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【推荐1】如图,二次函数y=a
+bx+c(a>0)的图象与x轴交于A,B两点,与y轴的正半轴交于点C,它的对称轴为直线x=﹣1.有下列结论:①abc>0;②4ac﹣
>0;③c﹣a>0;④当x=﹣
﹣2(n为实数)时,y≥c.其中,正确结论的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/da5b5658-8d68-4dea-8ea4-078b0c65a5b4.png?resizew=138)
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A.0 | B.1 | C.2 | D.3 |
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【推荐2】已知抛物线
的图象如图所示,则下列结论:①
;②
;③
;④
.其中正确的结论是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/461415f1-5c68-4218-823a-16bdf1fa4bd0.png?resizew=216)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/483e8298320b2fe64e3b2dbe845ad115.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bdc8d2686a05f12a2ba8a7e3b01be.png)
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A.①②③ | B.②③④ | C.①③④ | D.①②④ |
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【推荐1】已知(x1,y1),(x2,y2)(x1<x2)是抛物线y=x2﹣2tx﹣1上两点,以下四个命题:①若y的最小值为﹣1,则t=0;②点A(1,﹣2t)关于抛物线对称轴的对称点是B(2t﹣1,﹣2t);③当t≤1时,若x1+x2>2,则y1<y2;④对于任意的实数t,关于x的方程x2﹣2tx=1﹣m总有实数解,则m≥﹣1,正确的有( )个.
A.1 | B.2 | C.3 | D.4 |
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【推荐2】如图,二次函数(
)的图象与
轴的一个交点为
,对称轴为直线
.则下列结论中正确的有( )
①; ②
;
③; ④若直线
与
相交,其交点个数为2或4个;
A.1个 | B.2个 | C.3个 | D.4个 |
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