Generally speaking, adult mathematics can be divided into high number one and high number two according to knowledge points or difficulty. Generally speaking, science and engineering candidates need to take a high score of one, and liberal arts and sports arts majors need to take a high score of two. There are many contents in Senior One, and the requirements for knowledge mastery are generally higher than those in Senior Two, most of which include Senior Two.
This difference is mainly reflected in two aspects: first, as far as the knowledge content of * * * * is concerned, the knowledge points that need to be mastered in the same chapter or the same knowledge point need to be mastered to different degrees.
For example, differential calculus of unary function, advanced mathematics (1) requires mastering the derivative of inverse function and the method of finding the derivative of function determined by parameter equation, being able to find the n-order derivative of unary function, and understanding Rolle theorem and Lagrange mean value theorem, but the above knowledge points do not need advanced mathematics (2); For another example, in the integral of unary function, Advanced Mathematics (1) requires mastering trigonometric method of substitution to find indefinite integral, including sine transformation, tangent transformation and secant transformation, while Advanced Mathematics (2) does not require the assessment of secant transformation. Secondly, from the different knowledge content, there are double integrals in the assessment content of advanced mathematics (1), but there is no assessment requirement of double integrals in advanced mathematics (2); Advanced mathematics (1) has infinite series and ordinary differential equations, but high number (2) is not used. As can be seen from the test paper, this part of the knowledge points of Gao Shu (1) is more than Gao Shu (2), which can account for about 30% of the test questions. * * * about 45 points. Therefore, science and engineering candidates should carefully and comprehensively review according to the requirements of the outline.
Whether it is Shu Gao (I) or Shu Gao (II), on the whole, the content of the test questions is comprehensive and the distribution of the test questions is reasonable, which mainly runs through the main line of limit, derivative and integral. On the basis of investigating the basic concepts, the basic calculation ability is mainly investigated, and most of the examination questions are routine calculation questions.
Advanced Mathematics (1) is mainly based on Advanced Mathematics, with about 7 chapters, which mainly runs through the main lines of differential calculus and integral calculus. The focus of candidates' review is also differential calculus and integral calculus. Advanced Mathematics (II) is a compulsory subject of economic management. The examination questions are mainly composed of two parts, one is advanced mathematics, accounting for about 92%; The other part is preliminary probability theory, accounting for about 8%.
The main difference between Shu Gao (1) and Shu Gao (2) lies in their different requirements for mastering knowledge. "High number" (1) requires mastering the derivative of the inverse function, the derivation method of the function determined by the parameter equation, the n-order derivative of the simple function, and the trigonometric substitution, sine transformation, tangent transformation and secant transformation. Shu Gao (II) only requires mastering sine transformation and tangent transformation. Judging from the actual examination situation, Shu Gao (1) generally has about 30% more questions than Shu Gao (2), accounting for about 45 points. Therefore, it is feasible for some candidates to take Advanced Mathematics (1), but they should follow the guidance of Advanced Mathematics (2). However, candidates must make up the knowledge that is not involved in the high number (2), otherwise they will lose 30% of their scores in vain.
Shu Gao (1) and Shu Gao (2) are somewhat different in the big questions at the end of the examination paper. "High number" (1) generally involves the application of derivatives, such as the properties of functions and the shape of curves, the geometric meaning of derivatives, the tangent equation and normal equation of curves. The application of definite integral is mainly the application of substitution integral method of definite integral, as a proof problem, and the geometric application of definite integral to find the area of plane figure and the volume of rotating body produced by the rotation of plane figure around coordinate axis.
In the preliminary study of probability theory, the key content of Shu Gao II, candidates should focus on four points: first, understand the related concepts of random phenomena, random experiments and random events; The second is the calculation of probability; The third is the probability distribution of discrete random variables; Fourthly, the numerical characteristics of discrete random variables-expectation and variance.
Different professional countries have different requirements for the advanced number of the entrance exam, so the difficulty of the exam is naturally different. But overall, although mathematics is a big difficulty for many people, according to the survey, except for science and engineering, the advanced number of the entrance exam for other majors will not be too difficult, so candidates can feel at ease and don't have to worry.
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