2026届高一数学高一月度质量检测模拟试卷作文范文升级版（广东专用版含答案详解、评分标准与讲评脚本）

2026届高一数学高一月度质量检测模拟试卷作文范文升级版（广东专用版，含答案详解、评分标准与讲评脚本）学校：______________班级：______________姓名：______________考号：______________考试时间：120分钟满分：120分适用：高一月度质量检测范围标签：广东专用版注意事项：1.本卷共26题，满分120分，考试时间120分钟。2.选择题请在答题栏内填涂或填写字母；填空题只写结果；解答题应写出必要的计算过程、推理依据和结论。3.试题主体为学生打印卷，答案解析、评分标准、错因诊断与讲评脚本在后续教师版中呈现。一、本卷结构与使用说明模块内容使用对象交付状态学生卷选择题1-10、填空题11-16、解答题17-26，保留作答空间学生打印练习不含答案提前泄露教师版参考答案与解析、分题评分标准、讲评脚本课堂讲评与核分覆盖全部题号复盘区错因诊断清单、考点映射表、规范解答要点课后订正可直接勾选使用使用建议：课堂检测时先使用学生卷；讲评时按“客观题快速校准—核心题分层讲解—压轴题规范表达—错因复盘”顺序进行。家庭复盘时可先对照参考答案核分，再按错因清单完成二次订正。题型题号每题分值小计能力侧重选择题1-103分30分基础概念、运算辨析、函数性质填空题11-163分18分直接求值、区间表达、参数条件解答题17-26见题目72分过程推理、模型建立、规范书写合计1-26—120分阶段综合测评二、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.已知集合A={x|x为正整数，x<5}，B={1，3，5}，则A∩B等于（）A.{1，2，3，4}B.{1，3}C.{5}D.{1，2，3，4，5}2.命题“x^2-5x+6=0”的解集是（）A.{2，3}B.{-2，-3}C.{1，6}D.空集3.函数f(x)=√(2x-1)+1/(x-3)的定义域是（）A.[1/2，+∞)B.(3，+∞)C.[1/2，+∞)且x≠3D.(-∞，3)∪(3，+∞)4.二次函数f(x)=2x^2-4x+1的最小值是（）A.-1B.-2C.1D.35.一次函数y=kx+b的图象经过点(1，3)与(3，7)，则该函数在x=5时的函数值为（）A.9B.10C.11D.126.不等式|x-2|<3的整数解个数为（）A.4B.5C.6D.77.下列函数中，在其定义域内为奇函数的是（）A.y=x^2+1B.y=x^3/(x^2+1)C.y=|x|D.y=x^2-x8.方程x^2-4x+a=0有两个不相等的正实根，则实数a的取值范围是（）A.a>0B.0<a<4C.a<4D.a≥49.已知分段函数f(x)={x+1，x≤1；x^2-1，x>1}，则方程f(x)=3的解为（）A.x=1B.x=2C.x=-2D.x=±210.设A={x|-1≤x≤4}，B={x||x-m|≤1}。若B⊆A，则m的取值范围是（）A.[-1，4]B.[0，3]C.[1，4]D.(-∞，+∞)选择题答题栏：题号12345678910答案（二）填空题：本大题共6小题，每小题3分，共18分。11.设全集U={1，2，3，4，5，6}，A={1，2，4}，B={2，3，6}，则U中A∪B的补集为__________。12.已知一次函数f(x)=ax+1，且f(2)=5，则f(-3)=__________。13.二次函数f(x)=x^2-2kx+3的对称轴为x=2，则k=__________，该函数的最小值为__________。14.已知函数f(x)在R上单调递增，且f(2a-1)<f(3)，则a的取值范围为__________。15.不等式(x-1)(x+2)>0的解集为__________。16.若关于x的方程x^2+mx+1=0有两个相等的实数根，则m的值为__________。（三）解答题：本大题共10小题，共72分。解答应写出必要的文字说明、推理过程或演算步骤。17.（本题6分）设全集U={x|x为整数，-3≤x≤5}，A={x|x为整数，-1≤x<4}，B={x|x为整数，x^2-3x≤0}。

（1）写出集合A、B；

（2）求A∪B与U中A的补集；

（3）求(U中A的补集)∩B。作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.（本题6分）已知函数f(x)=√(4-x^2)/(x+1)。

（1）求f(x)的定义域；

（2）求f(0)与f(-2)；

（3）解方程f(x)=0。作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________19.（本题7分）已知二次函数f(x)=x^2-2ax+a+1，且f(1)=3。

（1）求a的值；

（2）写出f(x)的顶点坐标与单调区间；

（3）求不等式f(x)≤3的解集。作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________20.（本题7分）解下列不等式，并把结果写成区间形式。

（1）2x^2-x-3<0；

（2）(x+1)/(x-2)≥1；

（3）|2x-1|≤5。作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________21.（本题7分）某班为开展数学错题复盘，计划打印一批练习册。已知排版与装订的固定费用为120元，每本印刷费为3元；若每本按5元收取班费。设打印n本时的总成本为C(n)元，总收入为R(n)元，利润为P(n)元。

（1）分别写出C(n)、R(n)、P(n)关于n的表达式；

（2）打印180本时利润是多少元；

（3）若希望利润不少于300元，至少需要打印多少本。作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________22.（本题8分）设A={x|x^2-5x+4≤0}，B={x|m≤x≤m+2}。

（1）求集合A；

（2）若A∩B不是空集，求m的取值范围；

（3）若B⊆A，求m的取值范围；

（4）若A⊆B，判断是否存在实数m，并说明理由。作答区：________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________23.（本题8分）已知分段函数f(x)={2x+1，x<1；x^2，x≥1}。

（1）求f(-2)、f(1)、f(3)；

（2）解方程f(x)=4；

（3）求x∈[-1，3]时，满足f(x)≥3的x的取值范围；

（4）结合表达式说明在点x=1附近使用分段函数时应注意什么。作答区：____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________