2022年广东省广州市中考数学试卷解析.docx

2022年广东省广州市中考数学试卷
一、选择题(本大题共10小题，每题3分，总分值30分。在每题给出的四个选项中，只有一项为哪一项符合题目要求的〕
1．〔3分〕〔2022•广州〕四个数﹣3.14，0，1，2中为负数的是〔　　〕

A．
﹣3.14
B．
0
C．
1
D．
2
2．〔3分〕〔2022•广州〕将图中所示的图案以圆心为中心，旋转180°后得到的图案是〔　　〕

A．
png_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
B．

C．

D．

3．〔3分〕〔2022•广州〕⊙O的半径为5，直线l是⊙O的切线，那么点O到直线l的距离是〔　　〕

A．
2.5
B．
3
C．
5
D．
10
4．〔3分〕〔2022•广州〕两名同学进行了10次三级蛙跳测试，经计算，他们的平均成绩相同，假设要比较这两名同学的成绩哪一位更稳定，通常还需要比较他们成绩的〔　　〕

A．
众数
B．
中位数
C．
方差
D．
以上都不对
5．〔3分〕〔2022•广州〕以下计算正确的选项是〔　　〕

A．
ab•ab=2ab
B．
〔2a〕3=2a3

C．
3﹣=3〔a≥0〕
D．
•=〔a≥0，b≥0〕
6．〔3分〕〔2022•广州〕如图是一个几何体的三视图，那么该几何体的展开图可以是〔　　〕

A．

B．

C．

D．

7．〔3分〕〔2022•广州〕a，b满足方程组，那么a+b的值为〔　　〕

A．
﹣4
B．
4
C．
﹣2
D．
2
8．〔3分〕〔2022•广州〕以下命题中，真命题的个数有〔　　〕
①对角线互相平分的四边形是平行四边形；
②两组对角分别相等的四边形是平行四边形；
③一组对边平行，另一组对边相等的四边形是平行四边形．

A．
3个
B．
2个
C．
1个
D．
0个
9．〔3分〕〔2022•广州〕圆的半径是2，那么该圆的内接正六边形的面积是〔　　〕

A．
3
B．
9
C．
18
D．
36
10．〔3分〕〔2022•广州〕2是关于x的方程x2﹣2mx+3m=0的一个根，并且这个方程的两个根恰好是等腰三角形ABC的两条边长，那么三角形ABC的周长为〔　　〕

A．
10
B．
14
C．
10或14
D．
8或10
二、填空题〔本大题共6小题，每题3分，总分值18分〕
11．〔3分〕〔2022•广州〕如图，AB∥CD，直线l分别与AB，CD相交，假设∠1=50°，那么∠2的度数为．

13．〔3分〕〔2022•广州〕分解因式：2mx﹣6my=．
14．〔3分〕〔2022•广州〕某水库的水位在5小时内持续上涨，初始的水位高度为6米，水位以每小时0.3米的速度匀速上升，那么水库的水位高度y米与时间x小时〔0≤x≤5〕的函数关系式为．
15．〔3分〕〔2022•广州〕如图，△ABC中，DE是BC的垂直平分线，DE交AC于点E，连接BE．假设BE=9，BC=12，那么cosC=．
16．〔3分〕〔2022•广州〕如图，四边形ABCD中，∠A=90°，AB=3，AD=3，点M，N分别为线段BC，AB上的动点〔含端点，但点M不与点B重合〕，点E，F分别为DM，MN的中点，那么EF长度的最大值为．
三、解答题〔本大题共9小题，总分值102分，解容许写出文字说明、证明过程或演算步骤〕
17．〔9分〕〔2022•广州〕解方程：5x=3〔x﹣4〕
18．〔9分〕〔2022•广州〕如图，正方形ABCD中，点E，F分别在AD，CD上，且AE=DF，连接BE，AF．求证：BE=AF．
19．〔10分〕〔2022•广州〕A=﹣
〔1〕化简A；
〔2〕当x满足不等式组，且x为整数时，求A的值．
20．〔10分〕〔2022•广州〕反比例函数y=的图象的一支位于第一象限．
〔1〕判断该函数图象的另一支所在的象限，并求m的取值范围；
〔2〕如图，O为坐标原点，点A在该反比例函数位于第一象限的图象上，点B与点A关于x轴对称，假设△OAB的面积为6，求m的值．
21．〔12分〕〔2022•广州〕某地区2022年投入教育经费2500万元，2022年投入教育经费3025万元．
〔1〕求2022年至2022年该地区投入教育经费的年平均增长率；
〔2〕根据〔1〕所得的年平均增长率，预计2022年该地区将投入教育经费多少万元．
22．〔12分〕〔2022•广州〕4件同型号的产品中，有1件不合格品和3件合格品．
〔1〕从这4件产品中随机抽取1件进行检测，求抽到的是不合格品的概率；
〔2〕从这4件产品中随机抽取2件进行检测，求抽到的都是合格品的概率；
〔3〕在这4件产品中参加x件合格品后，进行如下试验：随机抽取1件进行检测，然后放回，屡次重复这个试验，通过大量重复试验后发现，抽到合格品的频率稳定在0.95，那么可以推算出x的值大约是多少
23．〔12分〕〔2022•广州〕如图，AC是⊙O的直径，点B在⊙O上，∠ACB=30°
〔1〕利用尺规作∠ABC的平分线BD，交AC于点E，交⊙O于点D，连接CD〔保存作图痕迹，不写作法〕
〔2〕在〔1〕所作的图形中，求△ABE与△CDE的面积之比．
24．〔14分〕〔2022•广州〕如图，四边形OMTN中，OM=ON，TM=TN，我们把这种两组邻边分别相等的四边形叫做筝形．
〔1〕试探究筝形对角线之间的位置关系，并证明你的结论；
〔2〕在筝形ABCD中，AB=AD=5，BC=CD，BC＞AB，BD、AC为对角线，BD=8，
①是否存在一个圆使得A，B，C，D四个点都在这个圆上假设存在，求出圆的半径；假设不存在，请说明理由；
②过点B作BF⊥CD，垂足为F，BF交AC于点E，连接DE，当四边形ABED为菱形时，求点F到AB的距离．
25．〔14分〕〔2022•广州〕O为坐标原点，抛物线y1=ax2+bx+c〔a≠0〕与x轴相交于点A〔x1，0〕，B〔x2，0〕，与y轴交于点C，且O，C两点间的距离为3，x1•x2＜0，|x1|+|x2|=4，点A，C在直线y2=﹣3x+t上．
〔1〕求点C的坐标；
〔2〕当y1随着x的增大而增大时，求自变量x的取值范围；
〔3〕将抛物线y1向左平移n〔n＞0〕个单位，记平移后y随着x的增大而增大的局部为P，直线y2向下平移n个单位，当平移后的直线与P有公共点时，求2n2﹣5n的最小值．
2022年广东省广州市中考数学试卷
参考答案与试题解析
一、选择题(本大题共10小题，每题3分，总分值30分。在每题给出的四个选项中，只有一项为哪一项符合题目要求的〕
1．〔3分〕〔2022•广州〕四个数﹣3.14，0，1，2中为负数的是〔　　〕

A．
﹣3.14
B．
0
C．
1
D．
2
考点：
正数和负数．菁优网版权所有
分析：
根据负数是小于0的数，可得答案．
解答：
解：四个数﹣3.14，0，1，2中为负数的是﹣3.14，
应选：A．
点评：
此题考查了正数和负数，解决此题的关键是小于0的数是负数．
2．〔3分〕〔2022•广州〕将图中所示的图案以圆心为中心，旋转180°后得到的图案是〔　　〕

A．
png_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