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SAT数学高频知识点之三角形及其他

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  下面为大家整理的是关于SAT数学高频知识点的整理介绍,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

  以上就是这些SAT数学高频知识点的全部内容,非常简洁,都是英文版的。这些知识点都是最基本的需要大家熟知的,大家可以在备考的时候进行适当的整理和借鉴。

重点单词   查看全部解释    
definition [.defi'niʃən]

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n. 定义,阐释,清晰度

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subtraction [səb'trækʃən]

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n. 减法,减去

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frequency ['fri:kwənsi]

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n. 频繁,频率

 
complementary [.kɔmpli'mentəri]

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adj. 补充的,互补的

 
complex ['kɔmpleks]

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adj. 复杂的,复合的,合成的
n. 复合体

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oblique [ə'bli:k]

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adj. 间接的,斜的,拐弯抹角的,不光明正大的 n.

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base [beis]

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n. 基底,基础,底部,基线,基数,(棒球)垒,[化]碱

 
acute [ə'kju:t]

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adj. 敏锐的,剧烈的

 
tangent ['tændʒənt]

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adj. 接触的,相切的,离题的, n. 切线,正切,突

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vector ['vektə]

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n. 向量,矢量,带菌者 vt. (无线电)导引 adj

 

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