SAT数学知识点总结

时间:2024.3.27

SAT数学知识点总结

青岛新航道学校为大家整理的SAT数学知识点,非常详细,按照相应的知识体系对知识点进行了一些梳理。大家在备考SAT数学考试的时候可以根据自己的实际情况,对相应的内容进行整理和借鉴。

VIII TRIGONOMETRY

A. Trigonometry of the right triangle

1 Definitions of the six functions

2 Relations of the functions of the complementary angles

3 Reciprocal relations among the functions

4 Variations in the functions of acute angles

5 Pythagorean and quotient relations

6 Functions of 30°, 45°, and 60°

7 Applications of the functions to right triangle problems

B. Trigonometric functions of the general angle

1 Generating an angle of any size

2 Radians and degrees

3 Using radians to determine arc length

4 Definitions of the functions of an angle

5 Signs of the functions in the four quadrants

6 Functions of the quadrantal angle

7 Finding the value of functions of any angle

C Identities and equations

1 Difference between identities in equations

2 Proving identities

3 Solving linear trigonometric functions

4 Solving trigonometric quadratic equations

D Generalized trigonometric relationships

1 Functions of the sum of two angles

2 Functions of the difference of two angles 3 Functions of the double angle

4 Functions of the half angle

E Graphs of trigonometric functions

1 Graphs of the sine, cosine, and tangent curves 2 Properties of the sine, cosine, and tangent curves 3 Definitions of amplitude, period, and frequency 4 Solving trigonometric equations graphically F Solutions of oblique triangles

1 Law of sines

2 Law of cosines

3 Using logarithms to solve oblique triangle problems 4 Vector problems—parallelogram of forces

5 Navigation problems

IX MISCELLANEOUS TOPICS

A. Complex numbers

1 Meaning

2 Operations

a) Addition and subtraction

b) Multiplication and division

i Powers of i

ii Complex conjugate

3 Complex roots of quadratic equations

B Number Bases

1 Converting from base 10 to other bases 2 Converting from other bases to base 10 3 Operations in other bases

C Exponents and logarithms

1 Meaning of logarithms

2 Computation with exponents and logarithms 3 Equations

4 Graphs of exponential and logarithmic functions

D Binary operations

1 Definition of binary operations

2 Properties of binary operations

3 Application to modular arithmetic

E Identity and inverse elements

1 Addition

2 Multiplication

3 Other operations


第二篇:SAT2数学知识点总结


SAT2数学知识点总结

2011-11-04 14:59:32 紫铭教育

下面为大家总结的是SAT

2数学考试的知识点。SAT

2数学考试分成了Level 1和Level 2两个部分。大家在备考这两个部分的时候,知识点的掌握上稍稍有一些不同。下面我们就来看看详细内容吧。

SAT2数学Level 1知识点Math IC

Algebra

Plane geometry (lines and angles, triangles, polygons, circles)

Solid geometry (cubes, cylinders, cones, spheres, etc.)

Coordinate geometry (in two dimensions)

Trigonometry (properties and graphs of sine, cosine, and tangent functions, identities)

Algebraic functions

Statistics and sets (distributions, probability, permutations and combinations, groups and sets)

Miscellaneous topics (logic, series, limits, complex and imaginary numbers)

SAT2数学Level 2知识点Math IIC (covers all areas in Math IC with some additional concepts)

Algebra

Plane geometry

Solid geometry

Coordinate geometry (in two and three dimensions, vectors, polar coordinates, parametric equations)

Trigonometry (cosecant, secant, cotangent functions, inverse functions, in non-right triangles)

Statistics and sets

其他:

· Question difficulty. Not only does the Math IIC cover additional topics, it also covers the basic topics in more difficult ways than the Math IC does.

· College choice. As you choose between the two tests, keep in mind the specific colleges you’re applying to. Colleges with a strong focus on math, such as MIT and Cal Tech, require the Math IIC test. Most other colleges have no such requirement, but some may prefer that you take the IIC.

· Battle of the test curves. The Level IIC test is scored on a much more liberal curve: you can miss six or seven questions and still achieve a score of 800. On the IC test, however, you would probably need to answer all the questions correctly to get a perfect score. If you wanted to score a 600 on either test, you would need around 20 correct answers on the IIC test and 33 on the IC test. Some students with strong math backgrounds think that they can get a marvelous score on the less difficult Math IC while their score on the IIC will only be average. But if you get tripped up by just one or two questions on the Math IC, your score will not be as impressive as you might expect.

以上就是关于SAT

2数学考试知识点的全部内容,包括了Level 1和Level 2两个部分和一些杂项。大家可以在备考SAT2数学考试的时候,对此加以适当的掌握。

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