ACT 数学与评估 - 数学

(mathematics) a quantity whose value changes according to another quantity's varying value

函数

to make a representation of something, especially one based on mathematics

建模

a quantity or value that remains the same and does not change in a specific mathematical context

常数

a combination of numbers, variables, operations, and grouping symbols that collectively represent a numerical value or relationship

代数表达式

(of mathematical expressions or quantities) having the same value or function, even if they appear in different forms

等价的

(mathematics) a quantity that is capable of assuming different values in a calculation

变量

a system of numerical values used to quantify and compare levels, degrees, or values

尺度

a symbol that represents any number between 0 and 9

数字

the set of all possible input values for which a given function is defined

定义域

(mathematics) a set of points whose coordinates are in agreement with one another

图形

a graphic design intended to explain something

图表

a diagram consisting of bars with different heights that represent the amount of a variable

直方图

a type of graph used in statistics and data analysis to display and compare two sets of numerical data

散点图

the point where a line, curve, or surface crosses an axis on a graph

交点

a flat, two-dimensional surface that extends infinitely in all directions

平面

any set of numbers that represent an exact position on a map or graph

坐标

a straight line drawn through the center of a group of data points on a scatter plot representing the best approximation of the relationship between the variables being studied

最佳拟合线

to meet or cross another path, line, etc. at a particular point

相交

a set of real numbers that includes all the numbers between any two specified numbers within the set

区间

a mathematical function that creates a straight line when graphed

线性函数

a function that can be expressed as the ratio of two polynomials, where the denominator is not zero

有理函数

a fixed numerical value that is a whole number, either positive, negative, or zero

整数常量

not following a straight or predictable line, sequence, or pattern

非线性

to have a direct relationship or alignment with something else, such as paired values or elements

对应

a single number, variable, or the product of numbers and variables in an expression or equation, separated by addition or subtraction operators

项

a reference line used in coordinate systems to provide a framework for locating points

轴

a mathematical function that can be expressed as a sum of terms, where each term is a constant multiplied by a variable raised to a non-negative integer power

多项式函数

to fulfill the conditions or requirements of a mathematical statement, equation, or inequality

满足

a numerical or constant factor that multiplies a variable in an algebraic term

系数

an equation where the highest power of the variable is squared

二次方程

a statistical method used to model and analyze the relationship between a dependent variable and one or more independent variables

回归

having equal distances from two or more points

等距的

having points that lie on the same straight line

共线的

a statement or proposition that has been proven to be true based on previously established axioms, definitions, and other theorems within a particular mathematical or logical system

定理

a recurring interval or length associated with a mathematical function or pattern

周期

to find the numerical value of an expression, equation, or function by substituting specific values for the variables

评估

a way of representing numbers as the sum of each digit multiplied by its place value

扩展记法

a method of writing numbers as the product of a coefficient and a power of 10

科学记数法

a rectangular array of numbers or symbols organized in rows and columns, commonly used in linear algebra for representing equations, transformations, and vector operations

矩阵

a single number calculated from the elements of a square matrix that indicates important properties, like whether the matrix can be inverted

行列式

the product of all positive whole numbers from 1 to a given number

阶乘

an ordered set of numbers that describes both magnitude and direction, commonly used to represent quantities like displacement, velocity, or force in physics and engineering

向量

a two-dimensional system used to represent points in space

标准坐标平面

a mathematical function that relates the angles of a triangle to the lengths of its sides, commonly including sine, cosine, and tangent

三角函数

a way of representing a system of linear equations in matrix form

增广矩阵

a vector that has a magnitude of 1 and represents direction without regard to scale

单位向量