在平面直角坐标系
中,二次函数
的图象如图所示,下列结论:①
;②
;③
;④
.其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3893badb238dd11cfd88f87dffe425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbbcf3f7721240b8d2161f8c66a0fcf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375386102cba5bfd93bdf340216eb22d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/16/b68a4800-edf9-42d6-9206-f1a6fa98b422.png?resizew=168)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2023-09-30 17:43:55
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真题
名校
【推荐1】如图,在平面直角坐标系中,直线
与抛物线
相交于点
,
.结合图象,判断下列结论:①当
时,
;②
是方程
的一个解;③若
,
是抛物线上的两点,则
;④对于抛物线,
,当
时,
的取值范围是
.其中正确结论的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a13cf2a12cfc199f9321193994083d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e67dd438e8704b95f619d49dfe787889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b13d3854ea2671a9ae5be5b69a573e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db5046fc8a86f2b80cee682060b0b6c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b19346e9e7ac8b512fb88e4f7b2ff0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134fc3a54424c5e63c8ae4d2ad845179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0375346bf4afe4c7fbf029fdfdafefc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e67dd438e8704b95f619d49dfe787889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b13d3854ea2671a9ae5be5b69a573e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0387428329318099eca82751bdc2d8b.png)
A.4个 | B.3个 | C.2个 | D.1个 |
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【推荐2】如图,抛物线
与
轴正半轴交于
,
两点,若点
坐标为
,点
坐标为
,有下列结论:
①
;
②
;
③
;
④当
时,
.
其中结论正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/042e4c1a-7c79-4f36-9ed3-4f5ae8c5bde9.png?resizew=168)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b569572c8d9bf05d78d3ab741e68bb2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77694c11ba40ec5c2fc4f6a05e31a048.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cbc6fbdb7a42c4f3f63ce6424e2eab.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2a7f6730b99629ffeb92857ded1ee7.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53168695826b0a33a23067b76173c7e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c30b350ddd88a61cf18c4e2143d66c90.png)
其中结论正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/042e4c1a-7c79-4f36-9ed3-4f5ae8c5bde9.png?resizew=168)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】如图,抛物线y=ax2+bx+c的对称轴是x=1,下列结论:①abc>0;②b2﹣4ac>0; ③8a+c<0; ④5a+b+2c>0,正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/f80e087d-fbae-4263-ad7a-b750252d3315.png?resizew=204)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/f80e087d-fbae-4263-ad7a-b750252d3315.png?resizew=204)
A.①②③ | B.②③④ | C.①②④ | D.②③ |
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【推荐2】如图,抛物线y=ax2+bx+c(a≠0)与x轴交于点A(﹣1,0),与y轴的交点为C,已知﹣2≤c≤﹣1,顶点坐标为(1,n),则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/2020/7/11/2503354540752896/2503837056516096/STEM/b12e06da7f184eecb243e5d25d3a0ce3.png?resizew=253)
![](https://img.xkw.com/dksih/QBM/2020/7/11/2503354540752896/2503837056516096/STEM/b12e06da7f184eecb243e5d25d3a0ce3.png?resizew=253)
A.a+b>0 |
B.![]() |
C.对于任意实数m,不等式a+b>am2+bm恒成立 |
D.关于x的方程ax2+bx+c=n+1没有实数根 |
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【推荐1】如图所示,抛物线
的对称轴为直线
,与
轴的一个交点坐标为
,其部分图象如图所示,下列结论:①
;②
;③方程
的两个根 是
,
;④方程
有一个实根大于
;⑤当
时
随
增大而增大. 其中结论正确的个数是( )
![](https://img.xkw.com/dksih/QBM/2020/10/31/2583113349947392/2585205885435904/STEM/0f10f366-e9db-42bd-8a4f-4d02ee2967c0.png?resizew=294)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.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/ed18bd80c6c4142f68e89f4ad44570b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16de2d7f06346a0fc6b5d6822e746237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da04f641c850a75a63031d5aed2e0625.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f7f8806b67df8ad7afc86ebece91f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b6ab454199d2738ea1b5cefb133d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204e5160ff110a19878e4fae639319e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2020/10/31/2583113349947392/2585205885435904/STEM/0f10f366-e9db-42bd-8a4f-4d02ee2967c0.png?resizew=294)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】抛物线
大致如图,顶点坐标为
.下列结论,①
;②
;③方程
两根的和为
,④若方程
有
个实数根,则这
个根的和为
,其中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab384b800147de81e4e609eb9a68941.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b349fdff78984a1a18df936d3f0269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/313486bc5244bf52f2ae8a7a7db9af26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2e30c2e04ec07a621f2e09b5143a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0eb96ca1fb046ce692c2ae39d926980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf3d3564c61e5e9c39a9e2cf2de048b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/23/16cb7935-7c06-4bc0-ab2c-9702a7ac3341.png?resizew=119)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐1】如图,点E、F、G、H是正方形ABCD四条边(不含端点)上的点,DE=AF=BG=CH设线段DE的长为x(cm),四边形EFGH的面积为y(cm2),则能够反映y与x之间函数关系的图象大致是( )
![](https://img.xkw.com/dksih/QBM/2019/6/26/2233792377290752/2235190992109568/STEM/9681e8f6e6c84b6f98f8fefb6d467f99.png?resizew=145)
![](https://img.xkw.com/dksih/QBM/2019/6/26/2233792377290752/2235190992109568/STEM/9681e8f6e6c84b6f98f8fefb6d467f99.png?resizew=145)
A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐2】如图,二次函数
的图象与x轴交于点
和点
,与y轴交于点C,点C在
和
之间,抛物线的顶点为点D,对称轴与x轴交于点E,则以下结论:①
;②
;③点D的坐标为
;④连接
,若
,则
是等边三角形;⑤关于x的方程
有两个不相等的实数根,其中正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/23/9720b69f-7183-4a0e-bf01-35aee8b8fcc0.png?resizew=141)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee80939187a84e1863eeb192a301c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b47e7bf02b3ca16f7d96b9369e51a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64cd8a4ee9d2f026a45898350e49ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655dfb980ed7872f44e7d831b7cd8f0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b612e6dc4af2cd181146c0bd0ca4696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576c847a4e15a5dba70db8ff583687b2.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72cd89edd00a0522aae1b60b918ea7e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/23/9720b69f-7183-4a0e-bf01-35aee8b8fcc0.png?resizew=141)
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