名校
1 . 如图,在
的正方形网格中,
都是格点,
为圆
的直径,
在圆
上,请仅用无刻度直尺完成下列作图(保留作图痕迹)
(1)作点
关于直线
的对称点
;
(2)直接标出弦
的中点及圆
的圆心
,并作
弧的中点
;
(3)在射线
上作点
,使
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd557c3ac7908fe535f678a50361b820.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/e5d1f9a5-5225-4d65-b6b0-3d0bbf83826f.png?resizew=166)
(1)作点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)直接标出弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(3)在射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ea3fb90a170f7e4c3b6fae814c3721.png)
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名校
2 . 为庆祝中国共产党建党100周年,某校开展了以“学习百年党史,汇聚团结伟力”为主题的知识竞赛,竞赛结束后随机抽取了部分学生成绩进行统计,按成绩分成 A,
,
,
,
五个等级,并绘制了如图不完整的统计图. 请结合统计图,解答下列问题:
(1)本次调查一共随机抽取了 名学生的成绩,频数分布直方图中
;
(2)补全学生成绩频数分布直方图;
(3)若成绩在80分及以上为优秀,全校共有2000名学生,估计成绩优秀的学生有多少人?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
等级 | 成绩![]() |
![]() | ![]() |
![]() | ![]() |
![]() | ![]() |
![]() | ![]() |
![]() | ![]() |
(1)本次调查一共随机抽取了 名学生的成绩,频数分布直方图中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(2)补全学生成绩频数分布直方图;
(3)若成绩在80分及以上为优秀,全校共有2000名学生,估计成绩优秀的学生有多少人?
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名校
3 . 定义
为函数
的特征数,下面给出特征数为
的函数的一些结论:①当
时,函数图象的顶点坐标是
;②当
时,函数图象截
轴所得的线段长度大于
;③当
时,函数在
时,
随
的增大而减小;④当
时,函数图象必经过两定点. 其中正确的结论有_________________ (填写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5c14d63e6ef994ff6a802cb4426050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83f2638d71e5d00c241c6704b32094d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c3342e3a1be36dcb603f7f55df55a59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eeae3d0886ea80770248bf577737c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c740339cbf0250d3ced8e2ea7bcb9c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8aa5c24766744e194574d31ca534c18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/103070abee09399f1e9510a75c3ba9e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7349847272c8628ff6e91dea33528d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477fc7759dc2d0ac58a73ba125d8bc7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcba35b945865f4c52987ed739396acc.png)
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