光华好奇2027春季招生入学考试大纲正式发布。作为光华教育集团旗下艺术特色A-Level课程中心，本次春招面向意向学生开放选拔。本次入学选拔分为英语、数学笔试，报考艺术方向还需参加线上艺术考试，建议考生结合大纲评估自身水平，针对性查漏补缺，从容参与本次春季入学选拔。

英语考试

考生须在90分钟内完成所有题目，考试题型包含以下类型：

3.5年制：词汇，完形填空，英语语法;阅读理解;雅思写作

1.5年制和2.5年制：词汇和完形填空;阅读理解;雅思写作

数学考试

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, trigonometric identities;
4.Functions: the definition of function, the definition of inverse function and composite fun
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.

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.集合：集合的定义与表示，集合间的关系;

4.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;

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 definition of the modulus of a number, real number operations;

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

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

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

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, exponential function and logarithmic function, trigonometric and inverse 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.

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 definition of the modulus of a number, real number operations;

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

3.Functions: the definition of functions, the definition of domain and range, function transformation (Translation), linear functions, 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.

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