抛物线
的对称轴直线
.抛物线与x轴的一个交点在点
和点
之间,其部分图象如图所示,下列结论中:①
;②
;③关于
的方程
有两个不相等实数根;④
,正确的有_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15d2b01f86fb5a373af6b089cf3d891b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f32c7a036c3fca925ced4fd1838d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a3059b2f082a408c2125a940eade0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec36e12fb25e9f217029bc1b75260d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1d7e48e871d3ed907432d98af956d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2812b76f19310ce2eb22f8388431f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/567d7b9844c808a729e33c7a951c66af.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/25/9d22548b-a21e-4719-b3ae-ce929eee5882.png?resizew=152)
更新时间:2024-01-07 23:30:43
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相似题推荐
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【推荐1】如图,抛物线
与x轴的一个交点为
,与y轴的交点B在点
与点
之间(包含端点),顶点D的坐标为
.则下列结论:①
;②
;③对于任意实数m,
总成立;④关于x的方程
没有实数根.其中结论正确的个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc90b02a4cd1425aabfc192b1cdee17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d57173ef4cd72eb270686875dfd623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e7ede0702d2c873101e9564545d9d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7597c6e4b7c7215651b1ef03bf2c1e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5166b7552f2a409ad671716dfb7de53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb1beec07792cbfc2f46de2aa151c5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34d1b8e62d12d6faafe6eb74cf19ba19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc672bfcc619ae5d071305e800a7640e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b9a703d4a61e4645d235aa4746442c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/2e0cace1-c410-41f6-9e42-6956e5275dca.png?resizew=134)
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【推荐2】抛物线
的部分图象如图所示,对称轴为直线
,直线
与抛物线都经过点
.下列说法中正确的是______ .(填序号即可)
①
;
②
;
③方程
的两根为
,
;
④若
与
是抛物线上的两个点,则
;
⑤当
时,函数
有最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffe3400ea9733d0a16ffa44dc0fab4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbcd0aebdd8bd688d108834747009f5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d5f0d374837655cc286d326305da36.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad487a50030015f696cc5d0025096c3.png)
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e17ff0a5e5605747c4c6d9f7bb5165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eba583e37243f3ba166bd1c11e58498.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520f445dad5a6c303bf75555ef44f4af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9761385ad3855bbaeb02e78f1452081c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
⑤当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014be4753153fdf42da4361b81df43c2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/7/4cdac930-da15-46ce-ba29-6ede42cd1a2d.png?resizew=149)
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【推荐1】抛物线
经过
,
,
,
两点,且
下列四个结论:
①
;
②若
,则
;
③若点
,
在抛物线上,
,且
,则
;
④当
时,关于
的方程
必有两个不相等的实数根.
其中正确的结论是________ .(填写序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d92dc7f59572fc5aeba24c37ef09a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58af02f927470f27a060ed0e839f1e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fb378d6bf91902efa15881985c5e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02f0d38a6b62f8e95bca3f9ba8103a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fb378d6bf91902efa15881985c5e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07458381f711145c0baefbaf39b6f20e.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a01d2dc793217262812ebf0a0a61537.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3100b7d03fb818096021a893c15bd8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a0582853d6a28b1cd12de4ed742406.png)
③若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72e008e557a9230ac4ac1db50f5112f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b92e54acfba6f422bb226c78de4550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92cd9af362cd03aca8cc82a6c8491492.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f8a8372d6d3be6a02f2109844bbcf4.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c67a7e28dba059006021a2e2105f538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254de3006b5b845c035f4e282fdb958d.png)
其中正确的结论是
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名校
【推荐2】已知二次函数
的图象如图所示,对称轴为直线
,有下列4个结论:
①
;②
;③
;④
(m是任意实数).其中正确的结论是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a968d64b8943371c8fb43111153dda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad29acf28ab96fb1604e80c743bd738f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8f1b58ebcb6caea25fea71bfbccd1d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/f3c14a80-ba34-4fb5-ab3f-e743de9ab550.png?resizew=189)
您最近一年使用:0次
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【推荐1】已知二次函数y=ax2+bx+c(a≠0)的图象如图,有下列6个结论:①abc<0;②b<a+c; ③4a+2b+c<0;④2a+b+c>0;⑤
>0;⑥2a+b=0;其中正确的结论的有_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2321c8b7bfe7289f553f5d0ae6660bdf.png)
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【推荐2】如图,抛物线y=ax2+bx+c(a≠0)经过点(2,0),对称轴为直线x=﹣1.下列结论:①abc>0;②8a+c=0;③对于任意实数m,总有a(m2﹣1)+b(m+1)≥0;④对于a的每一个确定值,若一元二次方程ax2+bx+c=P(P为常数,且P>0)的根为整数,则P的值有且只有三个,其中正确的结论是___ .
![](https://img.xkw.com/dksih/QBM/2021/11/6/2845230923890688/2846750793367552/STEM/1382326de0cf4ec39609995b7b49271b.png?resizew=133)
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【推荐1】二次函数
的部分对应值列表如下:
则一元二次方程
的解为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
x | … | ![]() | 0 | 1 | 3 | 5 | … |
y | … | 7 | ![]() | ![]() | ![]() | 7 | … |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efaff6d5b845098a6a3a995d1106803.png)
您最近一年使用:0次