On weekdays, I always hear many students complain that mathematics is so difficult to learn, obviously the formula has been memorized, but every time after the math test results are still not brilliant, come to ask our teacher whether the mathematics of the Hong Kong, Macao and Taiwan joint examination will be easier than the mathematics of the college entrance examination?Are there any tips for improving scores?Today, I will share with you the question types and solution skills of mathematics in the Hong Kong, Macao and Taiwan Joint Entrance Examination, I hope it can help you!
Mathematics question type of the Hong Kong, Macao and Taiwan Joint Entrance Examination
1.Exam Time & Total Score:
120 minutes total scoreDivide.
2.Question type and score ratio:
12 multiple-choice questions (60 marks).
6 fill-in-the-blank questions (30 marks).
4 answer questions (60 points).
3.Exam content and score ratio:
Algebra 45%, Trigonometry 15%, Analytic Geometry 20%.
Solid Geometry 10%, Probability and Statistics 10%.
Syllabus Requirements:
1. Correctly understand and master the basic knowledge, basic skills, basic ideas and methods of middle school mathematics;
2. Proficient in the use of mathematical knowledge and methods to solve problems (including simple application problems) within the scope specified in the examination syllabus.
2023 Hong Kong, Macao and Taiwan Joint Entrance Examination Mathematics Past Questions
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Mathematics problem-solving skills for the Hong Kong, Macao and Taiwan Joint Entrance Examination
Question section
1.Collections & Functions:
The collection part pays special attention to empty sets, which are particularly error-prone
The function part mainly focuses on: the usage of odd and even function properties, the skills of finding piecewise functions, the application of inverse function properties (joint entrance examination features), and the recognition of function images.
Specific function calculation: pay attention to the computational properties of exponential functions and logarithmic functions, pay attention to the usage of iterative functions, and pay attention to the scope of defined domains.
2.Trigonometric functions:
Focus on the image properties of trigonometric functions, identity transformation techniques.
3.Vector:
Focus on the parallel and perpendicular relationship of vectors in coordinate vectors and the vector usage of angles in solid geometry.
4.Straight Lines & Circles:
Focus on the various expressions of the straight line, the point-to-line distance formula, and the geometric representation of the circle.
5.Analytic Geometry:
Pay attention to the definition of ellipse, hyperbola, parabola and the method of eccentricity, and also Xi the relationship between the focal triangle and the solution triangle.
6.Derivative:
The main focus is on the method of finding tangents and the calculation of derivative values.
7.Probability and Counting Principles:
It mainly focuses on the process of classification and step-by-step, and perceives and deeply thinks about the data calculation method behind each probability model.
8.Binomial Principle:
The question type is relatively fixed, mainly for the binomial coefficient method and the binomial coefficient summation technique.
The big question part
1.Trigonometric Function Section:
Particular attention is paid to the equations for identity transformations and the types of triangles that are solved (which are particularly easy to score).
2.Sequence Section:
Special attention is paid to the techniques of summation of general terms and cracks of comprehensive variation sequences, and the summation of dislocation and subtraction.
3.Data Analysis & Statistics Section:
Particular attention is paid to the methods of finding probability, distribution columns, mathematical expectations, and variance.
4.Derivative part:
Pay attention to the meaning and design of the derivative function rather than the usage, and pay attention to the tangent scaling technique of the derivative function.
5.Analytic Geometry Section:
The main focus is on the chord length formula, the midpoint string formula, and the area finding formula (plumb method to find the area, vector area method, trigonometric function to find the area method).
JAE Mathematics Preparation Advice
1.Focus on the basics and lay a solid foundation:
The Hong Kong, Macao and Taiwan Joint Entrance Examination Mathematics focuses on the examination of basic knowledge, so candidates should strengthen their grasp of basic concepts, formulas, theorems and properties in the preparation process. It is necessary to strengthen the analysis and understanding of the knowledge points that are easy to make mistakes and confuse to ensure that they can be accurately applied in the examination. At the same time, it is necessary to pay attention to the accumulation and application of problem-solving methods to improve the speed and accuracy of problem solving.
2.Xi the problem and improve the problem-solving ability:
Mathematics is a subject that requires a lot of Xi practice, and in order to do well in the exam, you must do a lot of practice Xi. Through Xi practice, you can deepen your understanding and memory of knowledge points, and improve the speed and accuracy of problem solving. Candidates can choose some classic Xi practice questions and past past questions to practice Xi, summarize problem-solving skills and ideas, and form their own problem-solving strategies. At the same time, it is necessary to pay attention to the summary and reflection of the wrong questions, find out your own weak links, and make up for them in a targeted manner.
3.Do the quiz:
The past papers of each year can best reflect the difficulty and knowledge points of the exam, and are the most valuable for reference. The way to understand your real level of the joint entrance examination is to find a real question from the past to do, and at the same time set the time to do the question, the exam time is limited, so you need to understand the structure of the test paper in advance and arrange the time for answering the questions reasonably. *Students who need past papers can contact the teacher to obtain them.
4.Summarize and reflect, and constantly improve:
In the process of preparing for the exam, it is very important to summarize and reflect. At the end of each stage, it is necessary to summarize the achievements and shortcomings of one's own learning Xi in a timely manner, and find out the methods and measures for improvement.
It is not difficult to get a high score in mathematics in the Hong Kong, Macao and Taiwan Joint Entrance Examination, as long as you master the right methods and strategies, put in effort and time, I believe you will be able to easily score 130+!