全一卷
1.
的倒数是( )
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A.![]() | B.![]() | C.![]() | D.![]() |
2.下列图形中,是中心对称图形但不是轴对称图形的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
3.据国家统计局统计,我国
年国民生产总值(
)为
亿元.用科学记数法表示
亿是( )
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A.![]() | B.![]() | C.![]() | D.![]() |
4.下列运算正确的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
5.若函数
与
的图象如图所示,则函数
的大致图象为( )
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A.![]() | B.![]() |
C.![]() | D.![]() |
6.不等式组
的所有非负整数解的和是( )
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A.![]() | B.![]() | C.![]() | D.![]() |
7.下列命题是真命题的是( )
A.两边及其中一边的对角分别相等的两个三角形全等 |
B.平分弦的直径垂直于弦 |
C.对边平行且一组对角相等的四边形是平行四边形 |
D.两条直线被第三条直线所截,内错角相等 |
8.《孙子算经》中有一道题,原文是:“今有木,不知长短.引绳度之,余绳四足五寸;屈绳量之,不足一尺.木长几何?”意思是:用一根绳子去量一根长木,绳子还剩余
尺.将绳子对折再量长木,长木还剩余
尺,问木长多少尺.现设绳长
尺,木长
尺,则可列二元一次方程组为( )
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A.![]() | B.![]() | C.![]() | D.![]() |
9.如图,点
为线段
的中点,点
,
,
到点
的距离相等,若
,则
的度数是( )
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A.![]() | B.![]() | C.![]() | D.![]() |
10.在下列函数图象上任取不同两点
、
,一定能使
成立的是( )
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A.![]() | B.![]() |
C.![]() | D.![]() |
11.如图,正方形
,点
在边
上,且
,
,垂足为
,且交
于点
,
与
交于点
,延长
至
,使
,连接
.有如下结论:①
;②
;③
;④
.上述结论中,所有正确结论的序号是( )
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A.①② | B.①③ | C.①②③ | D.②③④ |
12.
,则
的取值范围是______ .
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13.方程
的解为______ .
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14.如图,一架长为
米的梯子
斜靠在一竖直的墙
上,这时测得
,如果梯子的底端
外移到
,则梯子顶端
下移到
,这时又测得
,那么
的长度约为______ 米.(
,
,
,
)
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15.已知:
表示不超过
的最大整数.例:
,
.现定义:
,例:
,则
______ .
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16.如图,
为
的直径,弦
,垂足为
,
,
,
,则弦
的长度为______ .
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17.如图,点
、
、
…在反比例函数
的图象上,点
、
、
……在反比例函数
的图象上,
,且
,则
(
为正整数)的纵坐标为______ .(用含
的式子表示)
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18.习近平总书记说:“读书可以让人保持思想活力,让人得到智慧启发,让人滋养浩然之气”.某校为响应我市全民阅读活动,利用节假日面向社会开放学校图书馆.据统计,第一个月进馆
人次,进馆人次逐月增加,到第三个月末累计进馆
人次,若进馆人次的月平均增长率相同.
(1)求进馆人次的月平均增长率;
(2)因条件限制,学校图书馆每月接纳能力不超过
人次,在进馆人次的月平均增长率不变的条件下,校图书馆能否接纳第四个月的进馆人次,并说明理由.
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(1)求进馆人次的月平均增长率;
(2)因条件限制,学校图书馆每月接纳能力不超过
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19.先化简,再求值:
,其中
.
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20.《中学生体质健康标准》规定的等级标准为:
分及以上为优秀,
分为良好,
分为及格,
分及以下为不及格.某校为了解七、八年级学生的体质健康情况,现从两年级中各随机抽取
名同学进行体质健康检测,并对成绩进行分析.成绩如下:
(1)根据上述数据,补充完成下列表格.
整理数据:
分析数据:
(2)该校目前七年级有
人,八年级有
人,试估计两个年级体质健康等级达到优秀的学生共有多少人?
(3)结合上述数据信息,你认为哪个年级学生的体质健康情况更好,并说明理由.
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七年级 | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
八年级 | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
(1)根据上述数据,补充完成下列表格.
整理数据:
等级 频数 年级 | 优秀 | 良好 | 及格 | 不及格 |
七年级 | ![]() | ![]() | ![]() | ![]() |
八年级 | ![]() | ![]() | ![]() |
分析数据:
年级 | 平均数 | 众数 | 中位数 |
七年级 | ![]() | ![]() | ![]() |
八年级 | ![]() |
(2)该校目前七年级有
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(3)结合上述数据信息,你认为哪个年级学生的体质健康情况更好,并说明理由.
21.如图,
,点
、
分别在射线
、
上,
,
.
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(1)用尺规在图中作一段劣弧,使得它在
、
两点分别与射线
和
相切.要求:写出作法,并保留作图痕迹;
(2)根据(1)的作法,结合已有条件,请写出已知和求证,并证明;
(3)求所得的劣弧与线段
、
围成的封闭图形的面积.
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(1)用尺规在图中作一段劣弧,使得它在
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(2)根据(1)的作法,结合已有条件,请写出已知和求证,并证明;
(3)求所得的劣弧与线段
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22.下表中给出
,
,
三种手机通话的收费方式.
(1)设月通话时间为
小时,则方案
,
,
的收费金额
,
,
都是
的函数,请分别求出这三个函数解析式.
(2)填空:
若选择方式
最省钱,则月通话时间
的取值范围为______;
若选择方式
最省钱,则月通话时间
的取值范围为______;
若选择方式
最省钱,则月通话时间
的取值范围为______;
(3)小王、小张今年
月份通话费均为
元,但小王比小张通话时间长,求小王该月的通话时间.
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收费方式 | 月通话费/元 | 包时通话时间/ | 超时费/(元/ |
不限时 |
|
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(2)填空:
若选择方式
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若选择方式
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若选择方式
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(3)小王、小张今年
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23.(1)如图1,菱形
的顶点
、
在菱形
的边上,且
,请直接写出
的结果(不必写计算过程)
(2)将图1中的菱形
绕点
旋转一定角度,如图2,求
;
(3)把图2中的菱形都换成矩形,如图3,且
,此时
的结果与(2)小题的结果相比有变化吗?如果有变化,直接写出变化后的结果(不必写计算过程);若无变化,请说明理由.
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(2)将图1中的菱形
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(3)把图2中的菱形都换成矩形,如图3,且
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24.如图,抛物线
与
轴交于
,
两点,与
轴交于点
,且
.
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(1)求抛物线的解析式;
(2)若
,
是抛物线上的两点,当
,
时,均有
,求
的取值范围;
(3)抛物线上一点
,直线
与
轴交于点
,动点
在线段
上,当
时,求点
的坐标.
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(1)求抛物线的解析式;
(2)若
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(3)抛物线上一点
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