抛物线
的顶点为
,与
轴的一个交点
在点
和
之间,其部分图象如图,则以下结论:①
;②
;③
;④方程
有两个不相等的实数根⑤
.其中正确结论的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/26/80b40478-bd0a-4d87-8567-66dcc3d380d9.png?resizew=191)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5037a7f4f545c2d4461fa629d23a41f.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/85f28d35611af6d2c64ad19771297f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee8c50793afd59e6ab4a2be5a877759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16de2d7f06346a0fc6b5d6822e746237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a31d3ff0489fd0dec060f5f1cc30117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669823dbe5e8f4e29ef791b3d17b0399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65cc9c2b83f2e321ef86e353340ce8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c05e123619760025af0b9d761e2267.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/26/80b40478-bd0a-4d87-8567-66dcc3d380d9.png?resizew=191)
A.2个 | B.3个 | C.4个 | D.5个 |
更新时间:2024-02-26 14:23:09
|
相似题推荐
单选题
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适中
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【推荐1】给出下列说法,其中正确的是( )
①关于
的一元二次方程
,若
,则方程
一定没有实数根;
②关于
的一元二次方程
,若
,则方程
必有实数根;
③若
是方程
的根,则
;
④若
,
,
为三角形三边,方程
有两个相等实数根,则该三角形为直角三角形.
①关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1380471a759819a19fbb70be27daa309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00fd5f6a987960cf2ceb8e3a8687efc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e891fe1af408f7f790734d1070466365.png)
②关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1380471a759819a19fbb70be27daa309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df1dcbec0c0f623b3ab48bb079c242b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e891fe1af408f7f790734d1070466365.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a985aa7bff13665fb7ff50f8e2f3677a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1403cedbf84c0d92b11567d763ff556b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21348eb19b4cd198da30397d631bc6bc.png)
④若
![](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/5219db009de1b35587cf2ccfbbb09bc8.png)
A.①② | B.①④ | C.①②④ | D.①③④ |
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【推荐2】已知
=
,则关于x的一元二次方程ax2+2bx+c=0的根的情况是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ecc3aaae2aa289591a3b632f1e0645.png)
A.有两个相等的实数根 | B.有两个不相等的实数根 |
C.没有实数根 | D.无法判断 |
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【推荐1】如图,函数
的图像过点
和
,下列结论:①
;②
;③
. 其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc8350b12974ffc8d06fce36d158f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623afc24f2227004b0e1b3922dfb954b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9cdea1e995c59e5d3225acad8b4d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0cac183ca5644df72572ef9bc2e753.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/14/cb0846f0-146a-402c-af81-c3ef307f7936.png?resizew=128)
A.①② | B.①③ | C.②③ | D.①②③ |
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【推荐2】如图是二次函数y =ax2+bx + c(a≠0)图象如图所示,则下列结论,①c<0,②2a + b=0;③a+b+c=0,④b2–4ac<0,其中正确的有( )
![](https://img.xkw.com/dksih/QBM/2019/12/16/2356237560913920/2356668891127808/STEM/87141224fe6f4a63914aeba881e9288a.png?resizew=117)
![](https://img.xkw.com/dksih/QBM/2019/12/16/2356237560913920/2356668891127808/STEM/87141224fe6f4a63914aeba881e9288a.png?resizew=117)
A.1个 | B.2个 | C.3个 | D.4 |
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【推荐1】对称轴为直线
的抛物线
(
为常数,且
)如图所示,某同学得出了以下结论:
①
,
②
,
③
,
④
,
⑤
(
为任意实数),
⑥当
时,
随
的增大而增大,其中结论正确的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16de2d7f06346a0fc6b5d6822e746237.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375386102cba5bfd93bdf340216eb22d.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad29acf28ab96fb1604e80c743bd738f.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da04f641c850a75a63031d5aed2e0625.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a0377574f2d06e2b4ece36583ddac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
⑥当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.3 | B.4 | C.5 | D.6 |
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真题
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【推荐2】二次函数
的图象如图所示,有如下结论:①
;②
;③
;④
(m为实数).其中正确结论的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/6/8638b230-bb10-4307-acf4-ec4b3aade88d.png?resizew=266)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa285de4d015f208441ffe9a84bbd780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba65efa1f701570eb2c5d06b2bfabf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9457ea96205b652a136dbd422b3142.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/6/8638b230-bb10-4307-acf4-ec4b3aade88d.png?resizew=266)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
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适中
(0.65)
【推荐1】下列关于二次函数
(m为常数)的结论,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83fb509071ac93daa1f14db3571c45e0.png)
A.该函数的图象的顶点在函数![]() |
B.当![]() ![]() ![]() |
C.该函数的图象一定经过点![]() |
D.该函数的图象可以由函数![]() |
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【推荐2】如图,抛物线
与x轴交于A,B两点,与y轴交于点
.已知点A在
与
之间(不包含这两点),抛物线的顶点为D,对称轴是直线
.下列结论中正确的个数是( )
; ②
; ③
;
④若三点
,
,
均在函数图象上,则
;
⑤若
,则
是等边三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64196fcc78c3d4e076339b262ad91dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd0825e68122a65426840fbf07cf296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbcd0aebdd8bd688d108834747009f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77694c11ba40ec5c2fc4f6a05e31a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fae5482be5d6e9ee30b81f91607c81d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a59304afb71c98f3480278733eab4249.png)
④若三点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccbc02110922dc91aab0d325b62bb57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbdc6e14577fbcc8fd26ad13faff3c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591d7e78f8563a8495741ebed0552ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f1fa86e984f7cee0b875b17531052b.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
A.2 | B.3 | C.4 | D.5 |
您最近一年使用:0次