2026届七年级数学七年级下册期中模拟试卷考前冲刺密卷（广西专用版含答案详解、评分标准与讲评脚本）

七年级数学下册期中模拟卷（广西专用版）2026届七年级数学七年级下册期中模拟试卷考前冲刺密卷（广西专用版，含答案详解、评分标准与讲评脚本）标准卷头学校________________________班级________________________姓名________________________考号________________________适用对象：2026届七年级学生学科：数学阶段：七年级下册期中范围：广西专用版考试时间：120分钟满分：120分试卷形态：期中模拟试卷/训练卷答案状态：含答案详解、评分标准与讲评脚本题型题号小题分值合计分值建议用时选择题1-10每小题3分30分25分钟填空题11-16每小题3分18分20分钟解答题17-26见题内标注72分75分钟全卷1-26合计120分120分钟使用说明项目使用方式目标第1套：学生限时训练卷按120分钟独立完成，只在答题区域书写过程和结果，不提前查看答案。检查基础题准确率、综合题思路和书写规范。第2套：教师讲评核分卷教师依据逐题解析、采分点和课堂脚本进行讲评，边讲边标注易错点。提升讲评效率，统一给分尺度。第3套：错因复盘清单训练后按知识点、计算、审题、表达四类记录错因并完成二次订正。把一次模拟转化为考前冲刺复盘。1.本卷所有题目均需在规定位置作答；选择题每题只有一个正确选项。2.计算题、证明题和应用题应写出必要步骤；只写结果而无过程，主观题按评分标准酌情扣分。3.作图或读图题以文字图形关系描述为准；答题时可自行补画草图辅助分析。4.全卷覆盖相交线与平行线、实数、平面直角坐标系、二元一次方程组和一元一次不等式等期中重点。学生卷一、选择题（本大题共10小题，每小题3分，共30分。每小题只有一个选项符合题意）1.计算√49-|−3|的结果是（）A.10B.4C.−4D.72.两条平行直线a、b被直线c所截，∠1与∠2是一组同位角。若∠1=65°，则∠2的度数是（）A.25°B.65°C.115°D.130°3.在平面直角坐标系中，点P(−2，3)位于（）A.第一象限B.第二象限C.第三象限D.第四象限4.若方程组x+y=7，x−y=1的解为(x，y)，则x+2y的值是（）A.7B.8C.10D.115.不等式2x−3<5的解集是（）A.x<4B.x>4C.x<1D.x>16.∠AOC与∠BOC互为邻补角，且∠AOC=3∠BOC，则∠BOC等于（）A.30°B.45°C.60°D.90°7.下列各数中，算术平方根在4和5之间的是（）A.15B.17C.26D.308.点A(2，−1)平移后得到A′(5，3)。若点B(−1，4)按同样方式平移，则B′的坐标为（）A.(2，8)B.(−4，0)C.(3，7)D.(1，1)9.购买2支签字笔和3本练习本共18元，购买3支签字笔和2本练习本共17元。设签字笔单价为x元，练习本单价为y元，则练习本单价是（）A.3元B.4元C.5元D.6元10.若点M(a，a−3)在第四象限，则a的取值范围是（）A.a<0B.a>3C.0<a<3D.a=3题号12345678910答案二、填空题（本大题共6小题，每小题3分，共18分。请把答案写在横线上）11.−64的立方根是____________。12.若∠α=38°，则∠α的余角为____________。13.已知方程组x+2y=8，2x−y=1，则x+y=____________。14.点N(a−2，a+1)在y轴上，则a=____________。15.若一个正数的两个平方根分别是2a−1和a−5，则这个正数是____________。16.不等式组x+1≥0，2x−4<2的整数解个数是____________。三、解答题（本大题共10小题，共72分。解答应写出文字说明、计算过程或推理步骤）17.（6分）计算：（1）√81−∛(−8)+|−5|；（2）(−2)^2+√(25/16)−|−3/2|。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.（6分）解方程组：3x+2y=16，x−y=2。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________19.（7分）如图形关系所述：直线AB∥CD，直线EF交AB于点E、交CD于点F，射线EG在∠BEF内侧并平分∠BEF。若∠CFE=118°，求∠GEF的度数。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________20.（7分）在平面直角坐标系中，A(−2，1)，B(4，1)，C(1，5)。

（1）求线段AB的长度；

（2）求△ABC的面积；

（3）若将△ABC平移，使点A移动到A′(1，−2)，写出点B′、C′的坐标。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________21.（8分）已知a=√20。

（1）判断a在哪两个相邻整数之间；

（2）比较√20与9/2的大小；

（3）设n为不大于√20的最大整数，求n，并说明√20−n的取值范围。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________22.（8分）某文具店购进笔记本和直尺共20件，共花费84元。已知笔记本每本5元，直尺每把3元。设购进笔记本x本、直尺y把。

（1）列出关于x、y的方程组；

（2）求购进笔记本和直尺的数量。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________23.（8分）学校组织320名学生参加研学活动，准备租用大车和小车共10辆。大车每辆可坐40人，租金900元；小车每辆可坐25人，租金700元。要求座位数不少于320个，租金不超过8000元。设租用大车x辆。

（1）列出关于x的不等式组；

（2）求应租用大车和小车各多少辆。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________24.（8分）学校开展民族纹样书签制作活动，准备A、B两种材料套餐。A套餐需要2张彩纸和1盒彩笔，B套餐需要1张彩纸和2盒彩笔。现共用彩纸54张、彩笔51盒。套餐彩纸用量彩笔用量可服务学生数A套餐2张1盒3名B套餐1张2盒2名（1）设A套餐为x份、B套餐为y份，列方程组并求x、y的值；（2）根据表中“可服务学生数”，求这些套餐至少可服务多少名学生。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________25.（7分）直线a∥b，点P位于两条平行线之间。射线PM与直线a相交，PM与直线a所成的锐角为35°；射线PN与直线b相交，PN与直线b所成的锐角为50°，且M、N位于P的两侧。

（1）求∠MPN的度数；

（2）若上述两个锐角分别为α、β，写出∠MPN与α、β之间的关系，并说明理由。_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________