如图,是二次函数 y=ax 2+ bx + c( a≠ 0 )的图象,则下列四个结论中正确的有几个?( ).
① abc> 0;②b2>4ac;③ 2c< 3b;④ 4a+ 2b+c> 0;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/9323391e-0ec5-408e-8e91-2928c8a52b2b.png?resizew=161)
① abc> 0;②b2>4ac;③ 2c< 3b;④ 4a+ 2b+c> 0;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/9323391e-0ec5-408e-8e91-2928c8a52b2b.png?resizew=161)
A.1 个 | B.2 个 | C.3 个 | D.4 个 |
16-17九年级上·广东深圳·期末 查看更多[3]
2017届广东省深圳市宝安区九年级上学期期末考试数学试卷(已下线)九年级上册综合测试卷(B卷)-2022-2023学年九年级数学上册《同步考点解读·专题训练》(北师大版)湖北省荆州市沙市区第十一中学2022-2023学年九年级上学期期中模拟数学试题
更新时间:2017-03-18 06:39:45
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【推荐1】
是二次函数
图象上一点,
是一次函数
图象上一点,且
,若
是
上的一点,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61defe3290bd73d6d358a3e745544826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6b45c6cbe969c6f64356f18d624537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee33caba77df20b37c63c3a567367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d7f7149e797e5f49832c6c23468fab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7091d529281abff275ef19b9197445a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188432484e5072404b3b4d0791edf35d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
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名校
【推荐2】已知二次函数
,
,
,
,
,
为实数,当
及
时(其中
),函数值均为5,当
时,函数值为
,当
时,函数值为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9b42973c53907f09f2de384c42fc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971905ea129aec0ca7c325f60260c7e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c46e7f190028dbcfa1e3b01427c9e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a390a6586d3f138b988d52c58111ae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35968ec93063d62a80e772d39ffec1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146070d45163537ee0af10d485403893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e973229c87a6b1cdad2e92505de7aafe.png)
A.0 | B.5 | C.-1 | D.1 |
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【推荐1】如图,二次函数
的图像如图所示,对称轴为直线
,经过点
.以下结论:
①
;
②
;
③
;
④
;
⑤若
,
抛物线上两点,则
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/eb62207d-02e7-414f-9a37-8df51a17e4fb.png?resizew=123)
其中结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca1e8963e446793d61fcac47daaa016.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7332ef795200766a506e7554351f27.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae28deb43063b00c3200496fbb2da2d5.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b902c564738f610d5dc8d9d16881ec2.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a31d3ff0489fd0dec060f5f1cc30117.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa00734bb8d5abb471d96b64099da32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f296af882955474352c1df71b0485e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/eb62207d-02e7-414f-9a37-8df51a17e4fb.png?resizew=123)
其中结论正确的是( )
A.①②③ | B.①③⑤ | C.②③④ | D.①④⑤ |
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【推荐2】如图,抛物线
经过点
和
,则下列结论:①
;②
;③
;④
;⑤若双曲线
经过点
,则一元二次方程
的两个实数根为a、b;其中正确结论的个数为( )
![](https://img.xkw.com/dksih/QBM/2023/6/13/3258855113678848/3259482493444096/STEM/099afb680e0b438b971ec7910526ac22.png?resizew=106)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
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A.2个 | B.3个 | C.4个 | D.5个 |
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【推荐1】二次函数
的图像如图所示,其对称轴是直线x=1,则函数y=ax+b和y=
的大致图像是( )
![](https://img.xkw.com/dksih/QBM/2021/5/2/2712449458741248/2720800353714176/STEM/6a0c859c-5417-40ac-aa2c-e28a175c37e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15d8cee8585f62dfc712c8dfb350b0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbedb4f99e571656a744621beaf3b3b.png)
![](https://img.xkw.com/dksih/QBM/2021/5/2/2712449458741248/2720800353714176/STEM/6a0c859c-5417-40ac-aa2c-e28a175c37e2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐2】如图是二次函数
图象的一部分,图象过点
和点
,对称轴为直线
,则下列说法:①
;②当
时,函数
随
的增大而增大;③当
时,
的取值范围是
;④函数的最大值为4.其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b3c94d505e7c5bcce94afec4af3d92.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/efe616f5-d996-45e1-8df0-4ab42bfb6e0b.png?resizew=150)
A.①②③ | B.①②④ | C.①③④ | D.②③④ |
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【推荐1】如图,已知二次函数
图象与x轴交于A,B两点,对称轴为直线x=2,下列结论:①abc>0; ②4a+b=0;③若点A坐标为(−1,0),则线段AB=5; ④若点M(x1,y1)、N(x2,y2)在该函数图象上,且满足0<x1<1,2<x2<3,则y1<y2其中正确结论的序号为( )
![](https://img.xkw.com/dksih/QBM/2018/4/12/1922510620409856/1923268785856512/STEM/b5e97cfa-b392-47c4-813e-4ca9ab21a958.png?resizew=214)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://img.xkw.com/dksih/QBM/2018/4/12/1922510620409856/1923268785856512/STEM/b5e97cfa-b392-47c4-813e-4ca9ab21a958.png?resizew=214)
A.①,② | B.②,③ | C.③,④ | D.②,④ |
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【推荐2】二次函数y=ax2+bx+c(a、b、c为常数且a≠0)中的x与y的部分对应值如下表:
给出了结论:
(1)二次函数y=ax2+bx+c有最小值,最小值为﹣3;
(2)当﹣
<x<2时,y<0;
(3)a﹣b+c=0;
(4)二次函数y=ax2+bx+c的图象与x轴有两个交点,且它们分别在y轴两侧
则其中正确结论的个数是( )
x | ﹣3 | ﹣2 | ﹣1 | 0 | 1 | 2 | 3 | 4 | 5 |
y | 12 | 5 | 0 | ﹣3 | ﹣4 | ﹣3 | 0 | 5 | 12 |
给出了结论:
(1)二次函数y=ax2+bx+c有最小值,最小值为﹣3;
(2)当﹣
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(3)a﹣b+c=0;
(4)二次函数y=ax2+bx+c的图象与x轴有两个交点,且它们分别在y轴两侧
则其中正确结论的个数是( )
A.1 | B.2 | C.3 | D.4 |
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