GRE數(shù)學常見考點核心詞匯分享 這些幾何術(shù)語的英文表達不可不知

GRE Math Vocabulary: Terms Related to Angles

acute angle 銳角 obtuse angle 鈍角 right angle 直角 straight angle 平角 reflex angle 優(yōu)角

GRE Math Vocabulary: Terms Related to Triangles

equilateral triangle 等邊三角形 scalene triangle 不等邊三角形 isosceles triangle 等腰三角形 right triangle 直角三角形 oblique triangle 斜三角形 inscribed triangle 內(nèi)接三角形

GRE Math Vocabulary: Other Plane Geometric Shapes

semicircle 半圓 quadrilateral 四邊形 pentagon 五邊形 hexagon 六邊形 parallelogram 平行四邊形 rectangle 長方形 trapezoid 梯形

GRE Math Vocabulary: Solid Geometry Terms

cube 立方體 rectangular solid 長方體 circular cylinder 圓柱體 cone 圓錐 sphere 球體

GRE Math Vocabulary: Detailed Descriptions of Geometric Figures

altitude 高 circumference 周長 surface area 表面積 volume 體積 chord 弦 radius 半徑 diameter 直徑

GRE Math Vocabulary: Coordinate Geometry Terms

coordinate system 坐標系 origin 原點 abscissa 橫坐標 ordinate 縱坐標 slope 斜率

GRE Math Vocabulary: Other Geometric Concepts

plane geometry 平面幾何 trigonometry 三角學 congruent 全等的 bisect 平分 intersect 相交

以上是為GRE考生整理的幾何相關(guān)的核心詞匯,。雖然詞匯量較大,，但考生只需理解這些術(shù)語的含義,，便能在考試中順利解題,。希望大家通過這篇文章加強對數(shù)學術(shù)語的掌握，取得優(yōu)異的成績,。

GRE數(shù)學常見考點核心詞匯分享 這些幾何術(shù)語的英文表達不可不知

Preparing for the GRE can be quite a journey, especially when it comes to mastering the geometry section of the math test. Geometry is not just about memorizing formulas; it's about understanding concepts and applying them effectively. In this article, we will explore some essential GRE math geometry terms that every test-taker should know. ??

1. Angles and Their Types

Understanding angles is fundamental in geometry. Here are the primary types:

• Acute Angle: An angle less than 90 degrees. ??
• Right Angle: An angle exactly equal to 90 degrees. ??
• Obtuse Angle: An angle greater than 90 degrees but less than 180 degrees. ??
• Straight Angle: An angle equal to 180 degrees. ??

Knowing these types helps you quickly identify angle relationships in various problems.

2. Triangles and Their Properties

Triangles are a significant part of the GRE geometry section. Key terms include:

• Equilateral Triangle: All sides and angles are equal (60 degrees each). ??
• Isosceles Triangle: Two sides are equal, and the angles opposite those sides are equal. ??
• Scalene Triangle: All sides and angles are different. ??

Familiarity with the Pythagorean theorem (a2 + b2 = c2) is also crucial, particularly for right triangles.

3. Circles and Their Components

Circles appear frequently in GRE geometry questions. Important terms include:

• Radius: The distance from the center to any point on the circle. ??
• Diameter: Twice the radius; the longest chord of the circle. ??
• Circumference: The perimeter of the circle, calculated as C = 2πr. ??
• Area: The space contained within the circle, calculated as A = πr2. ??

Understanding these components can help you solve problems related to circles more efficiently.

4. Quadrilaterals and Their Characteristics

Quadrilaterals encompass various shapes, including:

• Rectangle: Opposite sides are equal, and all angles are right angles. ??
• Square: All sides and angles are equal. ??
• Parallelogram: Opposite sides are equal and parallel. ??
• Trapezoid: At least one pair of parallel sides. ??

Each type has unique properties that can aid in solving area and perimeter problems.

5. Coordinate Geometry

Coordinate geometry combines algebra and geometry, making it essential for GRE preparation. Key concepts include:

• Distance Formula: The distance between two points (x?, y?) and (x?, y?) is given by D = √[(x? - x?)2 + (y? - y?)2]. ??
• Slope Formula: The slope of a line passing through two points is m = (y? - y?) / (x? - x?). ??
• Midpoint Formula: The midpoint M between two points is M = [(x? + x?)/2, (y? + y?)/2]. ??

These formulas are often used in problems involving lines and shapes on a coordinate plane.

6. Practice Problems

To solidify your understanding, here are a few practice questions:

1. What is the area of a triangle with a base of 10 and a height of 5? Answer: Area = 0.5 * base * height = 0.5 * 10 * 5 = 25. ??
2. If the radius of a circle is 7, what is its circumference? Answer: C = 2πr = 2 * π * 7 ≈ 43.98. ??
3. Find the distance between points (3, 4) and (7, 1). Answer: D = √[(7 - 3)2 + (1 - 4)2] = √[16 + 9] = √25 = 5. ??

By familiarizing yourself with these terms and practicing regularly, you'll build confidence for the GRE geometry section. Remember, understanding the concepts is key to performing well on the test! ??

Understanding GRE Math Vocabulary

As a GRE test taker, mastering the GRE math core vocabulary is essential for success. This vocabulary encompasses key terms and concepts that frequently appear in the quantitative reasoning section of the exam. Here’s a guide to help you navigate through these crucial terms and enhance your preparation. ??

Key Terms to Know

Familiarizing yourself with common mathematical vocabulary can significantly improve your performance. Here are some important terms:

• Integer: A whole number that can be positive, negative, or zero. Example: -3, 0, 5.
• Prime Number: A natural number greater than 1 that has no positive divisors other than 1 and itself. Example: 2, 3, 5, 7.
• Ratio: A relationship between two numbers indicating how many times the first number contains the second. Example: The ratio of 2 to 3 can be expressed as 2:3.
• Proportion: An equation that states two ratios are equal. Example: If a/b = c/d, then ad = bc.
• Mean: The average of a set of numbers, calculated by dividing the sum of the numbers by their count.

Practice Questions

Applying these terms in practice questions can solidify your understanding. Here are a few examples:

• Question 1: What is the mean of the following set of numbers: 4, 8, 6, 5?
• Question 2: If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 students in total?
• Question 3: Is the number 29 a prime number? Why or why not?

Sample Answers

Here are the sample answers to the practice questions:

• Answer 1: The mean is (4 + 8 + 6 + 5) / 4 = 5.75.
• Answer 2: If the ratio is 3:4, then 3x + 4x = 28, so x = 4. Therefore, there are 3x = 12 boys.
• Answer 3: Yes, 29 is a prime number because it has no divisors other than 1 and 29.

Tips for Mastering GRE Math Vocabulary

Here are some strategies to effectively learn and retain GRE math vocabulary:

• Flashcards: Create flashcards with definitions and examples to reinforce memory.
• Practice Tests: Regularly take practice tests to familiarize yourself with the types of questions and vocabulary used.
• Study Groups: Join study groups where you can discuss terms and solve problems collaboratively.
• Online Resources: Utilize online platforms that offer GRE prep material, quizzes, and interactive learning tools.

Conclusion

Building a strong foundation in GRE math vocabulary will not only help you tackle quantitative reasoning questions but also boost your overall confidence during the exam. Remember, consistent practice and engagement with the material are key to your success. Good luck! ??

對于準備GRE考試的考生來說,，數(shù)學部分是一個不可忽視的環(huán)節(jié)。雖然很多考生可能在高中時期就接觸過這些知識,，但GRE數(shù)學的考點和解題技巧卻有其獨特之處,。本文將為你解析GRE數(shù)學的主要考點，并分享一些備考經(jīng)驗,，希望對你的復習有所幫助,！??

1. 數(shù)學基礎(chǔ)知識

GRE數(shù)學主要涵蓋以下幾個方面的內(nèi)容：

• Arithmetic (算術(shù))
• Algebra (代數(shù))
• Geometry (幾何)
• Data Analysis (數(shù)據(jù)分析)

每個部分都有其重要的考點。例如,，在算術(shù)中，你需要熟悉整數(shù),、分數(shù),、小數(shù)以及百分比的運算。在代數(shù)部分,，理解方程和不等式的解法至關(guān)重要,。幾何考點則包括三角形、圓和多邊形的性質(zhì),，而數(shù)據(jù)分析則要求你能夠解讀圖表和統(tǒng)計數(shù)據(jù),。

2. 練習題和范文

為了更好地掌握這些考點，建議你進行大量的練習,。以下是一個典型的GRE數(shù)學題目示例：

Question: If x + 2 = 5, what is the value of x?

Answer: x = 3

通過這樣的題目,，你可以鞏固自己的基礎(chǔ)知識,。同時，盡量多做一些模擬題,，以便熟悉考試的形式和時間限制,。??

3. 常見錯誤和注意事項

在備考過程中，考生常常會犯一些錯誤,。以下是一些需要注意的地方：

• 不要忽視基本概念：很多考生在解題時容易跳過基礎(chǔ)知識,，導致錯誤。
• 審題要仔細：確保理解題目的每一個細節(jié),，避免因粗心大意而失分,。
• 時間管理：在考試中合理分配時間，確保每道題都有足夠的時間思考,。

4. 資源推薦

在備考過程中,，選擇合適的學習資源非常重要。以下是一些推薦的書籍和網(wǎng)站：

• “The Official GRE Super Power Pack” – 一本全面的GRE備考書籍,。
• “Manhattan Prep GRE Set of 8 Strategy Guides” – 深入解析各個考點的策略指南,。
• GRE官方網(wǎng)站 – 提供最新的考試信息和樣題。

5. 心態(tài)調(diào)整

備考GRE數(shù)學不僅僅是知識的積累,，更是心理素質(zhì)的考驗,。保持積極的心態(tài)，適當放松自己,，必要時進行模擬考試,，以適應考試氛圍。??

最后,，記得定期自我評估,，調(diào)整學習計劃，確保在考試前達到最佳狀態(tài),。祝你在GRE數(shù)學部分取得優(yōu)異成績,！??