广东广州市西关外国语学校2026-2027学年第一学期八年级上学期数学期中试卷

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2026学年第一学期期中质量监测

初二数学

考试分数:150    考试时间:120分钟

注意事项:

1.答卷前,考生务必在答题卡用黑色字迹的钢笔或签字笔填写自己的考生号、姓名、座位号,再用2B铅笔把对应号码的标号涂黑.

2.选择题每小题选出答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑;如需改动,用橡皮擦干净后,再选涂其他答案标号.答案不能写在试卷上.

3.非选择题答案必须用黑色字迹的钢笔或签字笔写在答题卡各题目指定区域内的相应位置上;如需改动,先划掉原来的答案,然后再写上新的答案,改动后的答案也不能超出指定的区域;不准使用铅笔(除作图外)、涂改液和修正带.不按以上要求作答的答案无效.

4.考生必须保持答题卡的整洁,考试结束后,将本试卷和答题卡一并交回.

一、选择题(本大题共10小题,每小题4分,共40分.在每小题给出的四个选项中,只有一项是符合题目要求的.)

1.下列图案中,是轴对称图形的是(     ).

A.  B.

C.  D.

2.下列长度的三条线段,能组成三角形的是(     ).

A.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,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,  B.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,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,

C.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,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, D.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,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,

3.下列运算中,正确的是(     ).

A.  B.

C.  D.

4.如图,,若,,则的长为(     ).page number 0

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A.3 B.4 C.7 D.10

5.某校准备在如图所示的三角形空地上种植花卉,需将其分成面积相等的两块分别种植牡丹和芍药,小敏作出线段来划分,那么是的(     ).

A.角平分线 B.中线 C.高线. D.以上都不是

6.若,则、的值分别为(     ).

A.,  B.,

C.,  D.,

7.如图,在中,,,过点作,则的度数是(     ).

A. B. C. D.

8.已知,则(     ).

A.8 B.64 C.16 D.128

9.如图,在的正方形网格中,已有三个小正方形被涂黑,若将剩余的白色小正方形再涂黑一个,使得到的图形是轴对称图形,满足条件的涂法有(     ).page number 1

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A.1种 B.2种 C.3种 D.4种

10.如图,中,,三角形两内角的角平分线、交于点,交于,下列结论:①;②;③若,,,则;其中正确结论的个数为(     ).

A.0个 B.1个 C.2个 D.3个

二、填空题(本大题共6小题,每小题4分,共24分.)

11.等边三角形有______________条对称轴.

12.若点与点关于轴对称,则的值为______________.

13.已知命题:“全等三角形对应边相等”,则它的逆命题为______________.

14.如图,某商场楼层之间的手扶电梯示意图,其中,分别表示地面的水平线.已知,.那么乘电梯从点到点上升的高度是______________.

15.如图,已知,,的平分线与外角的平分线交于点,则______________.page number 2

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