二次函数
(a,b,c是常数,
)的自变量x与函数值y的部分对应值如表:
且当
时,与其对应的函数值y>0,则下列各选项中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
x | … | -2 | -1 | 0 | 1 | 2 | … |
… | t | m | -2 | -2 | n | … |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c98a7f3a8bf384b1dfc1d34aebd46d2.png)
A.abc<0 | B.m=n | C.![]() | D.图象的顶点在第三象限 |
更新时间:2022-04-08 17:03:35
|
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【推荐1】已知抛物线
在自变量x的值满足
时,与其对应的函数值y的最小值为
,求此时t的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d1595826d7875d71138b9297710c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8564383ed064b09a9af58e8598a7e3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a94acdfb41489d5694b5a64b9e99754.png)
A.1或![]() | B.2或![]() | C.3或![]() | D.![]() ![]() |
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【推荐2】若a、b(
)是关于x的一元二次方程
的两个根,m、n(
)是关于x的方程
的两根,则a、b、m、n的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac37f9f4b13db156e2cbe63a9d7d4319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12856a77157a517b56c7a4e2e45ffab.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐1】如图,抛物线
与x轴正半轴交于A,B两点,与y轴正半轴交于点C,点
.有下列结论:
![](https://img.xkw.com/dksih/QBM/2022/5/5/2972854386425856/2975166265630720/STEM/efde464a-0bcc-43cb-91e5-c162f84c2e12.png?resizew=172)
①abc>0;
②
;
③
与
是抛物线上两点,若
,则
;
④若抛物线的对称轴是直线x=3,m为任意实数,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/7291b3d921f595f28960abcdce6dfbed.png)
![](https://img.xkw.com/dksih/QBM/2022/5/5/2972854386425856/2975166265630720/STEM/efde464a-0bcc-43cb-91e5-c162f84c2e12.png?resizew=172)
①abc>0;
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a336747aef433bd2df55bc1d53dd2e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8198c3b302b3820e86763428eb1e91cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9436a7fba99b81f6ad7ce18f5dd5a34e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d41acc47493556617fe7b9e55093d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
④若抛物线的对称轴是直线x=3,m为任意实数,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e29fb46826606dba92991d04f99b2b.png)
A.4 | B.3 | C.2 | D.1 |
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真题
【推荐1】已知二次函数
的图象如图所示,对称轴为直线x=1,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/26/9770944e-1be0-4057-9878-b883be4eccb2.png?resizew=189)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/26/9770944e-1be0-4057-9878-b883be4eccb2.png?resizew=189)
A.![]() |
B.方程![]() ![]() |
C.![]() |
D.当x>0时,y随x的增大而减小. |
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【推荐2】二次函数
的部分图象如图所示,图象过点
,对称轴为直线
,下列结论:①
;②
;③
;④若方程
的两根为
和
,且
,则
.其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/5/87903aaf-9408-4eab-8b82-f9a1e13e186c.png?resizew=163)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e8ebd1d7fc0e20a1de79ed02516e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7d5d8d6ab93e29a908706ecab7a795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dee1a2078c6bc9aec520ce6b95dee98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eddfb3da980fe08f11f74be158e32bd.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/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4674736bf2ef28b600adcff885afce5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/5/87903aaf-9408-4eab-8b82-f9a1e13e186c.png?resizew=163)
A.1个 | B.2个 | C.3个 | D.4个 |
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