数学和逻辑SAT - Mathematics

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

(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

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

相交

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

散点图

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

(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 diagram or illustration that is used to show or explain something, such as a chart, graph, or drawing

图形

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

直方图

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

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

坐标

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

整数常量

an equation that makes a straight line when graphed

线性方程

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 or involving two distinct modes, peaks, or most frequent values

双峰的

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

to represent or illustrate something using a drawing, chart, or schematic

绘制

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

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

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