ACT 数学与评估 - 数学

function [名词]

函数

Ex: The sine function oscillates between -1 and 1 as its input varies over the real numbers .

正弦函数在输入在实数上变化时在-1和1之间振荡。

to model [动词]

建模

Ex: To estimate the growth of the population , researchers modeled the data over the next 50 years .

为了估计人口的增长，研究人员对未来50年的数据进行了建模。

constant [名词]

常数

Ex: Pi is a mathematical constant approximately equal to 3.14159 .

圆周率是一个数学常数，约等于3.14159。

expression [名词]

表达式

Ex: In calculus , the expression ( rac{d}{dx } f(x ) ) denotes the derivative of the function ( f(x ) ) .

在微积分中，表达式 ( \frac{d}{dx} f(x) ) 表示函数 ( f(x) ) 的导数。

equivalent [形容词]

等价的

Ex: The fractions 1/2 and 2/4 are equivalent because they represent the same value .

分数1/2和2/4是等价的，因为它们代表相同的值。

variable [名词]

变量

Ex: Variables are used to express relationships between unknowns and constants in mathematical equations .

变量用于在数学方程中表达未知数和常数之间的关系。

scale [名词]

尺度

Ex:

温度的标度可以是摄氏、华氏或开尔文。

figure [名词]

数字

Ex: The number " 7 " is a figure that represents a specific quantity .

数字“7”是一个代表特定数量的数字。

domain [名词]

定义域

Ex:

理解函数的定义域对于准确绘制其图形至关重要。

graph [名词]

图

diagram [名词]

图表

Ex: The book featured a diagram that illustrated the process of photosynthesis .

这本书有一个图表，说明了光合作用的过程。

histogram [名词]

直方图

scatter plot [名词]

散点图

Ex: A scatter plot of height versus weight showed that taller individuals tended to weigh more .

身高与体重的散点图显示，较高的个体往往体重更重。

intercept [名词]

截距

Ex:

要找到x截距，将y值设为零并解x。

plane [名词]

平面

Ex: The intersection of two planes can be a line .

两个平面的交集可以是一条线。

coordinate [名词]

坐标

Ex:

在网格上的坐标 (3, -2) 处绘制点。

line of best fit [名词]

最佳拟合线

Ex: By calculating the line of best fit , we can predict future values based on the current data .

通过计算最佳拟合线，我们可以根据当前数据预测未来值。

to intersect [动词]

相交

Ex: Their opinions intersected during the discussion , leading to an agreement .

他们的意见在讨论中相交，达成了协议。

interval [名词]

间隔

Ex:

在闭区间[c, d]中，c和d之间的每个数字，包括c和d，都是集合的一部分。

linear function [名词]

线性函数

Ex: Linear functions are useful in real-world applications because they simplify the relationship between variables .

线性函数在现实世界的应用中很有用，因为它们简化了变量之间的关系。

rational function [名词]

有理函数

Ex: The graph of a rational function can have holes where the numerator and denominator have common factors that cancel out .

有理函数的图形可以在分子和分母有共同因子相消的地方有洞。

integer constant [名词]

整数常量

Ex: When defining a variable in programming , you can initialize it with an integer constant like 10 or −3 .

在编程中定义变量时，可以用像10或−3这样的整数常量来初始化它。

nonlinear [形容词]

非线性

Ex: In nonlinear storytelling , the plot may jump between different time periods .

在非线性叙事中，情节可能会在不同的时间段之间跳跃。

to correspond [动词]

对应

Ex: The x-values correspond to points on the horizontal axis , while the y-values correspond to points on the vertical axis .

x值对应于水平轴上的点，而y值对应于垂直轴上的点。

term [名词]

项

Ex: Combining like terms in an algebraic expression simplifies it.

在代数表达式中合并同类项可以简化它。

axis [名词]

轴

Ex:

函数的图像在两点穿过x轴，表示方程的根或解。

polynominal function [名词]

多项式函数

Ex:

多项式函数的次数由函数中变量的最高幂决定。

to satisfy [动词]

满足

Ex: In order to prove the conjecture , we must find an example that satisfies all given conditions and demonstrates the truth of the statement .

为了证明这个猜想，我们必须找到一个满足所有给定条件并证明陈述真实性的例子。

coefficient [名词]

系数

Ex: The coefficient matrix in the linear system helps to simplify solving for the variable values.

线性系统中的系数矩阵有助于简化变量值的求解。

quadratic [名词]

二次方程

Ex: Factoring is one method to solve a quadratic , provided it can be easily factored .

因式分解是解二次方程的一种方法，前提是它可以轻松因式分解。

regression [名词]

回归

Ex: The scientist used regression to predict future trends based on historical data .

科学家利用回归基于历史数据预测未来趋势。

equidistant [形容词]

等距的

Ex: In a triangle , the circumcenter is equidistant from all three vertices .

在一个三角形中，外心到三个顶点的距离相等。

collinear [形容词]

共线的

Ex: If the slopes between pairs of points are equal , then the points are collinear .

如果点对之间的斜率相等，那么这些点是共线的。

theorem [名词]

定理

Ex: One fundamental aspect of mathematical reasoning is establishing the validity of theorems .

数学推理的一个基本方面是确立定理的有效性。

period [名词]

周期

Ex: The period of a trigonometric function is the length of the interval over which the function repeats its values .

三角函数的周期是函数重复其值的间隔长度。

to evaluate [动词]

评估

Ex: When evaluating an expression with variables , you must ensure that you substitute the correct values to obtain an accurate result .

评估带有变量的表达式时，必须确保替换正确的值以获得准确的结果。

expanded notation [名词]

扩展表示法

Ex: In expanded notation , the number 352 would be written as 300 + 50 + 2 .

在扩展符号中，数字352将被写成300+50+2。

scientific notation [名词]

科学记数法

Ex: In financial reports , large numbers representing company revenues or market capitalization are sometimes written in scientific notation for clarity .

在财务报告中，代表公司收入或市值的巨大数字有时为了清晰起见会以科学记数法书写。

matrix [名词]

矩阵

Ex: In solving a system of linear equations , the coefficients of the variables are arranged in matrix form .

在解线性方程组时，变量的系数以矩阵的形式排列。

determinant [名词]

行列式

Ex: The determinant of a triangular matrix is the product of its diagonal elements .

三角矩阵的行列式是其对角元素的乘积。

factorial [名词]

阶乘

Ex: In combinatorics , the factorial is used to determine the number of possible permutations of a set .

在组合数学中，阶乘用于确定一个集合的可能排列数。

vector [名词]

向量

Ex: Velocity , a vector quantity , describes an object 's speed and the direction in which it is moving .

矢量，一个矢量数量，描述物体的速度和它移动的方向。

standard coordinate plane [名词]

标准坐标平面

Ex: When solving systems of equations , the intersection point of the corresponding lines on the standard coordinate plane represents the solution .

在解方程组时，标准坐标平面上对应线的交点代表解。

trigonometric function [名词]

三角函数

Ex: To solve the triangle , we used the tangent trigonometric function to find the missing angle .

为了解决三角形，我们使用了三角函数正切来找到缺失的角度。

augmented matrix [名词]

增广矩阵

Ex: To solve a system of linear equations using the method of Gaussian elimination , we first write the system in augmented matrix form .

使用高斯消元法解线性方程组时，我们首先将方程组写成增广矩阵形式。

unit vector [名词]

单位向量

Ex: A unit vector is often employed in mathematics to define orthonormal bases and to describe geometric transformations .

单位向量常用于数学中定义正交基和描述几何变换。

ACT 数学与评估
数学	算术与统计	Geometry	数量和部分词
Economics	时间与顺序	行动过程	奖学金与创新
包含与分类	Comparison	Importance	Praise
评估与批评	Change	Status	物品管理