已知二次函数
(
)的图象如图所示,给出以下结论:
①
;②
;③
;④关于x的一元二次方程
没有实数根;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)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77694c11ba40ec5c2fc4f6a05e31a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0af703742f068b38b79f6c1ba5ec9ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485599743ec05b9a68aa15997a7f8cf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af32e76838f26797b6e6ff18cdc149f.png)
A.2 | B.3 | C.4 | D.1 |
更新时间:2024-05-11 20:58:06
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【推荐1】已知抛物线
,下列结论不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaedaad757fa09c4bcfcf3ef6e9e0386.png)
A.顶点在![]() | B.对称轴在![]() | C.顶点是抛物线的最低点 | D.与![]() ![]() |
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【推荐2】如果函数y=2x2﹣3ax+1,在自变量x的值满足1≤x≤3的情况下,与其对应的函数值y的最小值为﹣23,则a的值为( )
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
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真题
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【推荐1】已知二次函数y=ax2+bx+c(a≠0)的图象如图所示,在下列五个结论中:
①2a﹣b<0;②abc<0;③a+b+c<0;④a﹣b+c>0;⑤4a+2b+c>0,
错误的个数有( )
![](https://img.xkw.com/dksih/QBM/2013/9/25/1573686943604736/1573686949601280/STEM/4a14b34090be45cda38e9dbaab686bbb.png?resizew=190)
①2a﹣b<0;②abc<0;③a+b+c<0;④a﹣b+c>0;⑤4a+2b+c>0,
错误的个数有( )
![](https://img.xkw.com/dksih/QBM/2013/9/25/1573686943604736/1573686949601280/STEM/4a14b34090be45cda38e9dbaab686bbb.png?resizew=190)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】如图,二次函数
(
)的图象与
轴交于A,B两点,与
轴交于点C,点A坐标为(-1,0),点C在(0,2)与(0,3)之间(不包括这两点),抛物线的顶点为D,对称轴为直线
=2.有以下结论:①
;②若点M(
,
),点N(
,
)是函数图象上的两点,则
;③
<
<
;④
不可能是等腰直角三角形.其中正确的结论个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/22/b447743a-9c53-42b0-be5e-61b9f134b4ef.png?resizew=175)
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16de2d7f06346a0fc6b5d6822e746237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec85f29c0860b57a8f0cf8098c13a97e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f8657de54481172ca9179c88c0c4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7eb3b5ab19d97f6c7df36294ccc3674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c57be7ae11b9ff11c09d38631738d40.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/22/b447743a-9c53-42b0-be5e-61b9f134b4ef.png?resizew=175)
A.1 | B.2 | C.3 | D.4 |
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【推荐1】已知二次函数y=ax2+bx+c(a≠0)的图象如图所示,则下列结论中不正确的是( )
![](https://img.xkw.com/dksih/QBM/2016/3/11/1573984131301376/1573984137625600/STEM/47cb0f0d4082488faf88408f81941809.png)
![](https://img.xkw.com/dksih/QBM/2016/3/11/1573984131301376/1573984137625600/STEM/47cb0f0d4082488faf88408f81941809.png)
A.ac<0 |
B.b<0 |
C.b2﹣4ac<0 |
D.x=3关于x方程ax2+bx+c=0一个根 |
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【推荐2】二次函数
的图象如图所示.下列结论:①
; ②
; ③m为任意实数,则
;④
;⑤若
且
,则
.⑥
,
在抛物线上,若
,则
.⑦
其中正确结论的个数有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/10/32815865-fef1-4571-a832-d512a972ffb5.png?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77694c11ba40ec5c2fc4f6a05e31a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3893badb238dd11cfd88f87dffe425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c024a97cff31cb54b6026300808798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a395a7795e783b4596bef9775d02ed6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4deee559d44a0d1c1016b2053539f2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089c3608df214a5bc8a25d47550d2927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65cee351c7053fc8f689c4f7cc7a64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54104beb0b4604a45b94accef5cf376f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/10/32815865-fef1-4571-a832-d512a972ffb5.png?resizew=152)
A.2个 | B.3个 | C.4个 | D.5个 |
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【推荐1】如图,二次函数
图象的一部分与
轴的一个交点坐标为
,对称轴为直线
,结合图象有下列结论:①
且
;②
;③关于
的一元二次方程
的两根分别为
和1;④若点
,
,
均在二次函数图象上,则
,其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/5/d11fa644-c290-48f0-bf11-da4c6020ed98.png?resizew=121)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc90b02a4cd1425aabfc192b1cdee17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff32d26c8d44f5fb4813a19c1030a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1c84057882768f20a01365c81b6760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5f0d374837655cc286d326305da36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3f3db6b7c682450309a6ccba5ac5a2.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44cead90ae337fb61c932d93223481e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b44c63a912c9f07b80fb8f5bdde7a8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/5/d11fa644-c290-48f0-bf11-da4c6020ed98.png?resizew=121)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】已知一元二次方程1–(x–3)(x+2)=0,有两个实数根x1和x2(x1<x2),则下列判断正确的是( )
A.–2<x1<x2<3 | B.x1<–2<3<x2 | C.–2<x1<3<x2 | D.x1<–2<x2<3 |
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