1, trigonometric function:
sin(a+b)= sin(a)cos(b)+cos(a)sin(b)
cos(a+b)= cos(a)cos(b)-sin(a)sin(b)
tan(a+b)=(tan(a)+tan(b))/( 1-tan(a)tan(b))
sin^2(a)+cos^2(a)= 1
1+tan^2(a)=sec^2(a)
1+cot^2(a)=csc^2(a)
2. Plane geometry
Pythagorean theorem: A 2+B 2 = C 2
Area of circle: s = π r 2
Circumference of a circle: C=2πr
Area of a square: s = a 2
Area of rectangle: S= length × width.
Area of parallelogram: S= base × height
Trapezoidal area: S= 1/2× (upper bottom+lower bottom )× height.
Area of triangle: S= 1/2× base× height or Hailong formula: S=sqrt[p(p-a)(p-b)(p-c)], where p=(a+b+c)/2.
3. Analytic geometry
Distance formula between two points: d = sqrt [(x2-x1) 2+(y2-y1) 2]
The distance formula from point to straight line: d = | ax+by+c |/sqrt (a 2+b 2), where || stands for absolute value.
Polar coordinate equation of plane curve: (x, y)=(rcosθ, rsinθ)
4. Probability theory
Multiplication formula: P(A∩B)=P(A)×P(B|A)
Addition formula: P(A∪B)= P(A)+P(B)-P(A∪B)
Total probability formula: P(B)=∑P(Ai)×P(B|Ai), where Ai is the division of sample space.
Bayesian formula: P(B|A)=P(A|B)×P(B)/P(A), where P(B) is a prior probability and P(A|B) is a posterior probability.
Skills of doing problems in mathematics college entrance examination
1, carefully examine the questions: in the exam, you must carefully examine the questions. For words or concepts that you don't understand, you can understand them in context or ask the teacher for help. Before doing the problem, we must understand the meaning of the problem, grasp the key points, and understand the conditions and requirements in the problem, so as to solve the problem correctly.
2. Classified discussion: In the process of solving problems, if you encounter a question that cannot be answered in one step, you can split the original question by classified discussion, such as dividing the question into two and gradually deducing it, which can reduce the probability of wrong answers.
3. Mastering formulas and skills: There are many formulas and skills that need to be used in the math test of the college entrance examination. You must master them when reviewing at ordinary times. For example, to complete trigonometric function, we need to master the definition and nature of trigonometric function before we can get the correct answer.
4. Practice more: The skills of doing math problems in the college entrance examination are accumulated. Therefore, completing the homework assigned by the teacher carefully and doing more simulated and real questions over the years can enhance the confidence and endurance of doing the questions and exercise the speed and accuracy of doing the questions.
5. Have the courage to give up: during the exam, some questions are too difficult or can't be answered because of insufficient personal knowledge reserves. At this time, we should give up in time, don't waste time affecting the follow-up answers, arrange our time reasonably, and put the topics that are easy to solve and have high scores in the first place.