2024年4月7日发(作者：)

2.1

2.比:ratio 比例:proportion 利率:interest rate 速率:speed 除:divide 除法:division

商:quotient 同类量:like quantity 项:term 线段:line segment 角:angle 长度:length

宽:width

高度:height 维数:dimension 单位:unit 分数:fraction 百分数:percentage

3.(1)一条线段和一个角的比没有意义,他们不是相同类型的量.

(2)比较式通过说明一个量是另一个量的多少倍做出的,并且这两个量必须依据相同的

单位.

(5)为了解一个方程,我们必须移项,直到未知项独自处在方程的一边,这样就可以使它等

于另一边的某量.

4.(1)Measuring the length of a desk, is actually comparing the length of the

desk to that of a ruler.

(3)Ratio is different from the measurement, it has no units. The ratio of the

length and the width of the same book does not vary when the measurement

unit changes.

(5)60 percent of students in a school are female students, which mean that 60

students out of every 100 students are female students.

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2.2

2.初等几何:elementary geometry 三角学:trigonometry 余弦定理:Law of cosines

勾股定理/毕达哥拉斯定理:Gou-Gu theorem/Pythagoras theorem 角:angle 锐

角:acute angle 直角:right angle 同终边的角:conterminal angles 仰角:angle of

elevation 俯角:angle of depression 全等:congruence 夹角:included angle 三角

形:triangle 三角函数:trigonometric function

直角边:leg 斜边:hypotenuse 对边:opposite side 临边:adjacent side 始边:initial

side 解三角形:solve a triangle 互相依赖:mutually dependent 表示成:be denoted as

定义为:be defined as

3.(1)Trigonometric function of the acute angle shows the mutually dependent

relations between each sides and acute angle of the right triangle.

(3)If two sides and the included angle of an oblique triangle are known, then

the unknown sides and angles can be found by using the law of cosines.

(5)Knowing the length of two sides and the measure of the included angle

can determine the shape and size of the triangle. In other words, the two

triangles made by these data are congruent.

4.(1)如果一个角的顶点在一个笛卡尔坐标系的原点并且它的始边沿着x轴正方向，这

个角被称为处于标准位置.

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