如图是二次函数
图象的一部分,对称轴为
,且经过点(2,0)下列说法:①abc<0;②-2b+c=0;③4a+2b+c<0;④若(-
,y1),(
,y2)是抛物线上的两点,则y1<y2;⑤
>m(am+b)其中(m≠
)其中说法正确的是![](https://img.xkw.com/dksih/QBM/2017/12/27/1847381583847424/1853300937564160/STEM/e02a48e3b31f4a12b052f219bc896ad4.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/c147125e-53bf-455c-b154-6eca91d400eb.png?resizew=148)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3f7351f47fa3d55e471b76d5e3375f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/2017/12/27/1847381583847424/1853300937564160/STEM/e02a48e3b31f4a12b052f219bc896ad4.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/24/c147125e-53bf-455c-b154-6eca91d400eb.png?resizew=148)
A.①②④⑤ | B.③④ | C.①③ | D.①②⑤ |
更新时间:2017-04-18 15:41:44
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【推荐1】已知二次函数
图象的对称轴为直线
,部分图象如图所示, 下列结论中:①
;②
;③若
为任意实数,则有
;④当图象经过点
时,方程
的两根为
,
,则
,,其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/99330429-0794-4870-9e0c-17cf8117ed84.png?resizew=227)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad487a50030015f696cc5d0025096c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d2819d30e754049ddd47aa9d378955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9242dd26ba42e906d512542f02807779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65cc9c2b83f2e321ef86e353340ce8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b916df8bdd03ba4a31c0b8470d13436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff591ba53fecae900047013a351d89a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/99330429-0794-4870-9e0c-17cf8117ed84.png?resizew=227)
A.1 | B.2 | C.3 | D.4 |
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【推荐2】已知抛物线
(a,b,c都是常数,且
)开口向上且过点
,
(
),小明得出下列结论:①
;②若
和
都在抛物线上,则
;③
;④若方程
没有实数根,则
.其中正确结论的个数是( )
![](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/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4776e87dd96658bb5ffe1b09cb98c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50773bbec2b9214ce0648894a20c902.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a17431f86f35afcf3ee7e0c4a9dee0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09854751499971d55562552c9c7f384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396a001f5e3e6089207575ed84939fca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88504d300f25ac075b4a340738c23e05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d47a194ed7ed869c8fc34c62a4bd8c1c.png)
A.4 | B.3 | C.2 | D.1 |
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【推荐3】已知抛物线y=ax2+bx+c(a≠0)的对称轴是直线x=1,与y轴的交点在(0,2),(0,3)之间(包含端点),其部分图象如图所示,则,①abc<0;②4a﹣2b+c<0;③若A(﹣
,y1)、B(
,y2)、C(﹣2,y3)是抛物线上的三点,则有y3<y1<y2;④
≤a≤1;⑤若m,n(m<n)为方程a(x﹣3)(x+1)﹣2=0的两个根.则﹣1<m<n<3;⑥对于任意的实效m,不等式a+b>am2+bm恒成立.以上说法中正确的有( )个.
![](https://img.xkw.com/dksih/QBM/2021/7/21/2768775575355392/2774144646160384/STEM/2f83368d0cb24588b316be4b572c1c93.png?resizew=169)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://img.xkw.com/dksih/QBM/2021/7/21/2768775575355392/2774144646160384/STEM/2f83368d0cb24588b316be4b572c1c93.png?resizew=169)
A.6 | B.5 | C.4 | D.3 |
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【推荐1】已知二次函数
(其中
,
,
是常数,且
)的图象过点
,
,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6cff3d91d53041cc01e865e5bf51df.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/ae018fde08edf0539089f98c17e11ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee267dc035cab8f63e5877bbffc4cebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf19a61537c79af028fd871c883fb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144da0a6808340a01279ec11a7f43675.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
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【推荐2】已知点A(﹣3,y1),B(2,y2)均在抛物线y=ax2+bx+c上,点P(m,n)是该抛物线的顶点,若y1>y2≥n,则m的取值范围是( )
A.﹣3<m<2 | B.﹣![]() ![]() | C.m>﹣![]() | D.m>2 |
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