geometric mean

geometric mean的音标为[dʒiːˈmetrɪk miːn]，基本翻译为“几何平均数”，速记技巧为“几何均数，几何图形求平均”。

Geometric mean 的英文词源可以追溯到古希腊数学家欧几里得（Euclid），他提出了几何学的定义和基础理论。

Geometric mean 的变化形式主要有复数形式 geometric means，以及其比较级和最高级形式 geometric mean, geometric meanst, geometric meansthe most。

相关单词有：

magnitude：意为大小或量度，与 geometric mean 有一定的关联，表示几何的数量或规模。

arithmetic：意为算术的，与几何学无关，但可以表示计算或运算的过程。

geometrical：意为几何的，与几何学相关，常用于描述几何形状或性质。

dimension：意为维度或尺寸，与几何学中的维度概念有关。

curvature：意为曲率或弯曲程度，与几何学中的曲线形状有关。

perspective：意为透视图或视角，与几何学中的透视原理有关。

conic section：意为圆锥截面或圆锥曲线，与几何学中的圆锥形状有关。

plane geometry：意为平面几何学，是几何学的基础课程之一。

solid geometry：意为立体几何学，是几何学的延伸课程之一。

以上单词都与几何学相关，并可以用来描述几何学中的概念和性质。

常用短语：

1. geometric growth 几何增长

2. geometric mean 几何平均数

3. geometric progression 等比数列

4. geometric series 几何级数

5. geometric mean of numbers 数字的几何平均数

6. geometric mean of ratios 比率的几何平均数

7. geometric average 几何平均值

例句：

1. The company"s revenue has been growing at a geometric rate of 20% per year.

2. The geometric mean of the scores on the exam was 75%.

3. The geometric series adds up to infinity, but its mean value approaches a limit.

4. The geometric mean of the numbers in the equation is 1/x.

5. The geometric mean of the ratios in the table is 0.75.

6. The geometric average of the numbers in the column is 3.

7. The company"s profits have increased geometrically over the past few years.

英文小作文：

The geometric mean is a mathematical concept that measures the average value of a set of numbers or ratios. It is a way of taking into account all values in a set and calculating a single number that represents their overall average. In practical terms, the geometric mean can be used to calculate averages of measurements that are not normally distributed, but have a certain degree of variability and growth potential.

For example, consider a company that is growing its revenues and profits at a geometric rate of 20% per year. If we calculate the geometric mean of these growth rates, we can see how all of the revenues and profits are contributing to a larger overall value, even though some may be larger than others at any given time. Similarly, in a financial context, the geometric mean can be used to calculate the overall value of a portfolio or investment strategy, taking into account the growth potential of each asset or investment.

In summary, the geometric mean is a useful tool for understanding and analyzing data sets that have variability and growth potential, and it can be applied to various contexts, from business growth to financial analysis.