如图是二次函数
(a,b,c是常数,
)图象的一部分,与x轴的交点在点
和
之间,对称轴是
.对于下列说法:①
;②
;③当
时,
;④
.其中正确的个数是( )
![](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/4c0573e2af8a0dc8c6a1c0af067a324f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb442fb1fe1a5d9768cf11c3e1b7ec5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed37ee7432002cd0e0978b2012e184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbbcf3f7721240b8d2161f8c66a0fcf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b843858ba23012c724dea0c51d54a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea840f210f9b5b839edb5d34ee2a4f83.png)
A.1个 | B.2个 | C.3个 | D.4个 |
2024·四川成都·一模 查看更多[3]
更新时间:2024-04-18 17:39:47
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【推荐1】已知二次函数的图象如图所示抛物线的顶点坐标是
,有下列结论
;④若点
在该抛物线上,则
.其中正确的结论个数是( )
A.1 | B.2 | C.3 | D.4 |
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【推荐2】二次函数
,自变量
与函数
的对应值如下表:
下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
… | 0 | 1 | 2 | … | ||||
… | 4 | 0 | 0 | 4 | … |
下列说法中正确的是( )
A.抛物线的开口向下 | B.当![]() ![]() ![]() |
C.二次函数的最小值是![]() | D.抛物线的对称轴是![]() |
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【推荐1】如图是二次函数y=ax2+bx+c(a≠0)的图象,下列结论正确的个数是( )
①对称轴为直线x=﹣1;
②b2﹣4ac>0;
③方程ax2+bx+c=0的解是x1=﹣3,x2=1;
④不等式ax2+bx+c>3的解为﹣2<x<0.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/27/511cd42f-f708-4403-808e-22e473fc3b47.png?resizew=157)
①对称轴为直线x=﹣1;
②b2﹣4ac>0;
③方程ax2+bx+c=0的解是x1=﹣3,x2=1;
④不等式ax2+bx+c>3的解为﹣2<x<0.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/27/511cd42f-f708-4403-808e-22e473fc3b47.png?resizew=157)
A.4 | B.3 | C.2 | D.1 |
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【推荐2】如图,已知抛物线y=ax2+bx+c(a≠0)经过点(﹣1,0),对称轴为直线x=1,下列结论中正确的是( )
![](https://img.xkw.com/dksih/QBM/2021/12/11/2870003679510528/2871730800795648/STEM/c6733c97-fd96-440e-a05f-2c51cd0f5e04.png?resizew=210)
![](https://img.xkw.com/dksih/QBM/2021/12/11/2870003679510528/2871730800795648/STEM/c6733c97-fd96-440e-a05f-2c51cd0f5e04.png?resizew=210)
A.abc>0 | B.2a﹣b=0 | C.4a+2b+c<0 | D.3a+c=0 |
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【推荐1】抛物线
交x轴于A(
,0),B(3,0),交y轴的负半轴于C,顶点为D.下列结论:①
;②
;③
;④当△ABD是等腰直角三角形时,则
;⑤当△ABC是等腰三角形时,a的值有3个.其中正确的有( )个
![](https://img.xkw.com/dksih/QBM/2021/9/12/2806725255757824/2810063358476288/STEM/bbe45c08feef448c9fa776fd6a351ab4.png?resizew=161)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa285de4d015f208441ffe9a84bbd780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad14e041f68c1f29627d6ce25bee337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc672bfcc619ae5d071305e800a7640e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e9222ffc26c0e6bfbf252ab5d8a520.png)
![](https://img.xkw.com/dksih/QBM/2021/9/12/2806725255757824/2810063358476288/STEM/bbe45c08feef448c9fa776fd6a351ab4.png?resizew=161)
A.5 | B.4 | C.3 | D.2 |
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【推荐2】如图所示,抛物线
的对称轴为
,现给出下面四条信息: ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.png)
; ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8b8edd94bc4d5d517ec77e56800e41.png)
. 你认为其中正确的个数有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc90b02a4cd1425aabfc192b1cdee17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ad96a0492c77ae833043352654a98b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a64a91312339d5d41b234d3aa049f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9cffa8042991675c2f9a2a90186ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8b8edd94bc4d5d517ec77e56800e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9c39b3fef1f1ecbd31627cd9696429.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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