Mathematics examination paper of Beijing college entrance examination
Analysis of Mathematical Answers in Beijing College Entrance Examination
Summary of high school mathematics knowledge
Compulsory 1: 1, the concepts of set and function (this part of knowledge is abstract and difficult to understand) 2, basic elementary function (exponential function and logarithmic function) 3, the nature and application of function (abstract and difficult to understand).
Compulsory 2: 1, solid geometry (1), proof: vertical (multi-plane vertical), parallel (2), solution: mainly included angle, including line plane angle and plane angle.
This part of knowledge is the difficulty of senior one students, such as: an angle is actually an acute angle, but what is shown in the picture is an obtuse angle, etc., which requires students to have a strong three-dimensional sense. This part of the knowledge college entrance examination accounts for 22-27 points.
2. Linear equation: it is not a separate proposition in the college entrance examination, but it is easy to combine with conic curve.
3, the circle equation:
Compulsory course 3: 1, preliminary algorithm: required content of college entrance examination, 5 points (choose or fill in the blanks) 2, statistics: 3, probability: required content of college entrance examination, science accounted for 15 in 2009, liberal arts mathematics accounted for 5 points.
Compulsory 4: 1, trigonometric function: (image, nature, high school, emphasis and difficulty) must be tested: 15-20, often mixed with other functions.
2. Plane vector: NMET is not a separate proposition, but it can be easily combined with trigonometric functions and conic curves. In 2009, science accounted for 5 points, and liberal arts accounted for 13 points.
Compulsory course 5: 1, triangle solution: (sine, cosine theorem, trigonometric identity transformation) In the college entrance examination, science accounts for about 22 points, and liberal arts mathematics accounts for about 13 points. 2. Series: required for college entrance examination, 17-22. 3. Inequality: (Linear programming is easy to understand in class, but difficult to do. Inequality is not a separate proposition, but is generally combined with function to find the maximum value and solution set.
Liberal Arts: Elective courses 1- 1 and 1-2.
Elective course 1- 1: Emphasis: the college entrance examination accounts for 30 points.
1, logical term: generally, it is not tested. If it is tested, it is also tested with a suite. 2. Conic curve: 3. Derivative, derivative application (required for college entrance examination)
Elective course 1-2: 1, statistics: 2, reasoning proves: generally, you won't take the exam, and if you take the exam, you will fill in the blanks. Plural number: (the new curriculum standard is much more difficult than the old textbook, and the content of the college entrance examination must be tested)
Science: Electives 2- 1, 2-2, 2-3.
Electives 2- 1: 1, logical terms 2, conic curve 3, space vector: (using space vector can simplify the problem of solid geometry)
Elective courses 2-2: 1, derivative and calculus 2, reasoning proof: general 3, no need for complex numbers.
Elective course 2-3: 1, counting principle: (permutation and combination, binomial theorem) Mastering this part of knowledge requires a lot of problems to find rules, and there is no skill. The college entrance examination is required, and the score is 10. 2. Random variables and their distribution: there is no separate proposition. 3. Statistics:
College entrance examination knowledge section
Set and simple logic: 5 points or no test
Function: NMET 60 points: ① exponential function ② logarithmic function ③ quadratic function ④ cubic function ⑤ trigonometric function ⑤ abstract function (without function expression, it is difficult to understand and understand).
Plane vector and triangle solution
Solid geometry: about 22 points
Inequality: (linear rule) requires 5 points.
Sequence: 17 (a big question+a multiple-choice question or a fill-in-the-blank question) Proposition of the combination of commutative functions
Plane analytic geometry: (about 30 points)
Calculation principle: 10 minutes or so.
Probability statistics: 12- 17.
Complex number: 5 points
Reasoning proof
Distribution of general college entrance examination questions
1, 17 Question: trigonometric function
2, 18,19,20: solid geometry, probability, sequence.
3,21,22 questions: function, conic curve
Unsatisfactory results are usually as follows:
Do the problem carelessly, (can do it, can't do it right)
Have not mastered the basic knowledge
Problem solving is not comprehensive, and knowledge application is not systematic (for example, a problem synthesizes multiple knowledge points)
Poor psychological quality
In a word, we must master scientific learning when learning mathematics. Methods: 1. Note: Remember the knowledge points mentioned by the teacher, which are not in the textbook, especially the nature of the series, but they are often used in doing problems. 2. Collect and summarize the wrong questions.
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