如图,抛物线
经过点
,l是其对称轴,则下列结论:①
;②
;③
;④
;其正确结论的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6554ac3dff4a59833e407db887f6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c766352f0be38b719621052de92615bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cbc6fbdb7a42c4f3f63ce6424e2eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2213b4e8cededacc78767419278bc845.png)
A.1 | B.2 | C.3 | D.4 |
更新时间:2022-04-30 21:24:21
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【推荐1】如图,抛物线
的对称轴为直线
,与
轴交于点
,点
在抛物线上,有下列结论:①
;②一元二次方程
的正实数根在2和3之间;③
;④点
,
在抛物线上,当实数
时,
.其中,正确结论的个数是( )
![](https://img.xkw.com/dksih/QBM/2021/12/24/2879632545783808/2884928356204544/STEM/5d2c860c-2512-40dc-b601-fe55698c9b8d.png?resizew=153)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d59e31175628971b6436b47faded15e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291a1b7584b00459219eed61858e86a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f3f62dc41264137521f8a646d807d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed37ee7432002cd0e0978b2012e184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0ab896709915fc5f82c1ffe1ed32db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd5d245aa1c5eed30be67d9d08b8469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae5dc367df01a39ea54a88387a4e3d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbe75c9b52fa8c6831329d3e050d617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
![](https://img.xkw.com/dksih/QBM/2021/12/24/2879632545783808/2884928356204544/STEM/5d2c860c-2512-40dc-b601-fe55698c9b8d.png?resizew=153)
A.4 | B.3 | C.2 | D.1 |
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【推荐2】如图,二次函数
的图象的对称轴是直线
,则下列结论:
①
,
;②
;③
;④当
时,y随x的增大而减小;⑤
.
其中正确的结论有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/7/2879bd37-eb5a-438e-b5d4-ea5cf64be78d.png?resizew=126)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd2336e50c0afb3e8e73a6ea9070ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f78990189dfd3c922b7738d78de42da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0c865c1f8d424665e0f756aa600ff1.png)
其中正确的结论有( )
A.2个 | B.3个 | C.4个 | D.5个 |
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【推荐1】在二次函数y=a
+bx+c中,
是非零实数,且
,当x=2时,y=0,则
一定( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
A.大于0 | B.小于0 | C.等于0 | D.无法确定 |
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【推荐2】如图,抛物线
的对称轴是直线
,并与x轴交于A,B两点,若
,则下列结论:①
;②
;③
;④若m为任意实数,则
,其中正确的结论有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc90b02a4cd1425aabfc192b1cdee17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463319053d27fdb1185bf14fa9e72cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77694c11ba40ec5c2fc4f6a05e31a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b56f11bd12e08455935f576b1f803a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd4c6ef86162f9fe2a065af87f28ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231282a60e9b336c79fa57552674b0c0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/14/d6b5ccd7-685b-4ef5-8f5b-875e788d168c.png?resizew=116)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐1】如图,抛物线y=ax2+bx+c(a≠0)的抛物线的对称轴为直线x=1,与x轴的一个交点坐标为(﹣1,0),其部分图象如图所示,以下结论:①abc<b2;②方程ax2+bx+c=0的两根是x1=﹣1,x2=3;③3a+c>0;④当y>0时,x的取值范围是﹣1≤x≤3;⑤当x<0时,y随x的增大而增大.其中正确个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/20/3df90d70-1e9b-4b36-992a-11200cac5bec.png?resizew=182)
A.4 | B.3 | C.2 | D.1 |
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【推荐2】如图,二次函数
(
,
,
为常数,
)的图象与
轴交于点
,对称轴是直线
,有以下结论:①
;②若点
和点
都在抛物线上,则
;③
(
为任意实数);④
.其中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed4a82ff025584deb447c20a6fbd0ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c98a7f3a8bf384b1dfc1d34aebd46d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77694c11ba40ec5c2fc4f6a05e31a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737d2b013737e1a93af9fb8231ce900c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e04df60b1470e6a10344ecf7554cc2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639cdbed45bed3362ddd476775c7dfde.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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