光华启迪入学考试英语数学真题测试卷+考试范围【收藏】

光华启迪入学考试真题测试卷

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英语考试

考生须在90分钟内完成所有题目，考试题型包含以下四类：

1.词汇和语法单选题，若干题；

2.完形填空单选题，若干题；

3.阅读理解，共3篇；

4.议论文体裁写作，1篇。

数学考试 

3.5年制：

1.数与运算：数的整除性，相反数、倒数、绝对值的概念，实数运算；

2.方程（组）与代数：整式、分式、二次根式的相关运算，代数方程（组）；

3.函数：函数的定义，定义域、值域相关概念，简单函数变换（平移），正比例函数，反比例函数，一次函数，二次函数；

4.概率统计：事件发生的概率大小，树状图的应用，中位数、众数、平均数、方差、标准差的概念以及相关应用；

5.几何：圆与扇形相关面积周长的计算，全等三角形，相似三角形，锐角三角比，解三角形，四边形，正多边形，圆。

1.Numbers: Divisibility, opposite and reciprocal number, the definiton of the modulus of a number, real numer operations;

2. Equations and Algebra: Polynomials, fractions, surds, algebraic euqations;

3.Functions: the definition of funtions, the definiton of domain and range, function transformation (Translation), linear fuinctions, inverse proportional functions, quadratic functions;

4.Probability and statistics: probability, application of tree diagrams, the definition of mean, median, mode, variance and standard deviation;

5.Geometry: the perimeter and area of circles and sectors, congruence triangles and similar triangles, acute angle trigonometry, quadrilaterals, regular polygons, circles.

2.5年制：

1.数与运算：数的整除性，相反数、倒数、绝对值的概念，实数运算；

2.方程（组）与代数：整式、分式、二次根式的相关运算，代数方程（组）；

3.不等式：不等式性质，一元二次/高次、分式、无理不等式，绝对值不等式，基本不等式；

4.集合：集合的定义与表示，集合间的关系；

5.函数：函数的定义，函数、反函数、复合函数定义域值域，函数变换（平移，翻折，伸缩，取绝对值），多项式函数，指数函数，对数函数，三角函数与反三角函数；

6.概率统计：事件发生的概率大小，树状图的应用，中位数、众数、平均数、方差、标准差的概念以及相关应用；

7.几何：圆与扇形相关面积周长的计算，全等三角形，相似三角形，锐角三角比，解三角形，四边形，正多边形，圆。

1.Numbers: Divisibility, opposite and reciprocal number, the definiton of the modulus of a number, real numer operations;

2.Equations and Algebra: Polynomials, fractions, surds, algebraic euqations;

3.Inequality: the properties of inequality, linear/high order inequality, fraction inequality, inequality involving modulus, AM-GM inequality;

4.Set: the definition and representation of set, the relations between sets;

5.Functions: the definition of function, the definition of inverse function and composite function, the domain and range of inverse function and composite function, function transformations, polynomial function, exponantial function and logarithmic function, trigonometric and invers trig. function.

6.Probability and statistics: probability, application of tree diagrams, the definition of mean, median, mode, variance and standard deviation;

7.Geometry: the perimeter and area of circles and sectors, congruence triangles and similar triangles, acute angle trigonometry, quadrilaterals, regular polygons, circles.

1.5年制：

1.集合：集合的定义与表示，集合间的关系；

2.不等式：不等式性质，一元二次/高次、分式、无理不等式，绝对值不等式，基本不等式；

3.三角：任意角的表示，任意角度的正弦、余弦、正切的定义，诱导公式，两角和差公式，倍角公式；

4.函数：函数的定义，函数、反函数、复合函数定义域值域，函数变换（平移，翻折，伸缩，取绝对值），多项式函数，指数函数，对数函数，三角函数与反三角函数；

5.向量：向量的概念与其线性运算，向量的数量积，向量的坐标表示;

6.复数：复数的意义与四则运算，复数的几何意义，实系数一元二次方程与复数的关系；

7.数列：数列的性质，等差数列，等比数列；

8.计数原理：乘法与加法原理，排列，组合；

9.概率初步：样本空间，古典概率，随机事件的独立性；

1.Set: the definition and representation of set, the relations between sets;

2.Inequality: the properties of inequality, linear/high order inequality, fraction inequality, inequality involving modulus, AM-GM inequality;

3.Trigonometry: the representation of an arbitrary angle, the definition of sin, cos and tan of an arbitrary angle, trigonpmetric identities;

4.Functions: the definition of function, the definition of inverse function and composite function, the domain and range of inverse function and composite function, function transformations, polynomial function, exponantial function and logarithmic function, trigonometric and invers trig. function.

5.Vectors : the definition of vector and linear operations, scalar product, the representation of vectors;

6.Complex number: the definition of complex number and operations, geometric meaning of complex number and operations, Vieta's formula and applications;

7.Series: properties, arithmetic series, geometric series;

8.Counting Principle: addition and multiplication principle, permutation, combination;

9.Probability: Sample space, probability, independent events.