在備考GRE數(shù)學時,，熟悉常用的幾何詞匯是非常重要的。以下是2017年GRE數(shù)學考試中經(jīng)常出現(xiàn)的幾何相關詞匯匯總,，幫助考生更好地理解和應對考試,。

Common Geometric Terms

alternate angle 內錯角 ?corresponding angle 同位角 ?vertical angle 對頂角 ?central angle 圓心角 ?interior angle 內角 ?exterior angle 外角 ?supplementary angles 補角 ?complementary angle 余角 ?adjacent angle 鄰角 ?acute angle 銳角 ?obtuse angle 鈍角 ?right angle 直角 ?round angle 周角 ?straight angle 平角 ?included angle 夾角

Types of 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 內接三角形

Other Plane Shapes

semicircle 半圓 ?concentric circles 同心圓 ?quadrilateral 四邊形 ?pentagon 五邊形 ?hexagon 六邊形 ?heptagon 七邊形 ?octagon 八邊形 ?nonagon 九邊形 ?decagon 十邊形 ?polygon 多邊形 ?parallelogram 平行四邊形 ?regular polygon 正多邊形 ?rhombus 菱形 ?trapezoid 梯形

Solid Figures

cube 立方體 ?rectangular solid 長方體 ?regular solid 正多面體 ?circular cylinder 圓柱體 ?cone 圓錐 ?sphere 球體 ?solid 立體的

Geometric Properties and Measurements

altitude 高 ?depth 深度 ?side 邊長 ?circumference 周長 ?surface area 表面積 ?volume 體積 ?midpoint 中點 ?radius 半徑 ?diameter 直徑 ?perpendicular 垂直 ?hypotenuse 斜邊

Coordinate Geometry Terms

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

Additional Terms

plane geometry 平面幾何 ?trigonometry 三角學 ?congruent 全等的 ?bisect 平分 ?circumscribe 外切 ?inscribe 內切 ?intersect 相交

以上就是最新GRE數(shù)學高頻必考詞匯的匯總，希望考生們能夠認真學習這些幾何類詞匯,，以便在考試中取得優(yōu)異成績,。

GRE數(shù)學詞匯的重要性

對于準備參加GRE考試的考生來說，掌握必要的數(shù)學詞匯是至關重要的,。??這些詞匯不僅出現(xiàn)在數(shù)學部分的題目中,，也可能在閱讀理解和分析寫作部分中出現(xiàn)。因此,，提前熟悉這些詞匯將有助于提高你的整體成績,。

核心數(shù)學詞匯

以下是一些在GRE數(shù)學部分常見的詞匯，了解它們的含義和用法可以幫助你更好地解題：

• Integer (整數(shù))：一個沒有小數(shù)部分的數(shù)字，如-3, 0, 5,。
• Fraction (分數(shù))：表示部分與整體關系的數(shù)字,，如1/2, 3/4。
• Ratio (比率)：兩個數(shù)之間的關系,，如3:2,。
• Percentage (百分比)：以100為基準的比例，如25%表示四分之一,。
• Variable (變量)：在代數(shù)中用來表示數(shù)值的字母,，如x, y。
• Equation (方程)：包含等號的數(shù)學表達式,，如2x + 3 = 7,。
• Function (函數(shù))：一種特殊的關系，每個輸入對應一個唯一的輸出,，如f(x) = x^2,。

如何有效學習這些詞匯

為了更好地掌握這些數(shù)學詞匯，考生可以采取以下幾種策略：

1. 制作詞匯卡片：在卡片的一面寫上詞匯,，另一面寫上定義和例子,。??每天花時間復習這些卡片，可以加深記憶,。
2. 參與在線討論：加入GRE備考群組,，與其他考生討論詞匯的用法和解題技巧。這種互動可以幫助你更好地理解詞匯的實際應用,。
3. 做模擬題：通過做歷年GRE數(shù)學題,，來檢驗自己對詞匯的掌握程度。??在做題時,，注意記錄不熟悉的詞匯,，并及時查找其含義。

常見數(shù)學問題類型

在GRE數(shù)學部分,，你可能會遇到以下幾種問題類型：

• Quantitative Comparison (定量比較)：比較兩個數(shù)量的大小,。
• Problem Solving (解題)：解決具體的數(shù)學問題。
• Data Interpretation (數(shù)據(jù)解釋)：分析圖表或數(shù)據(jù)集并回答相關問題,。

示例題目與參考答案

以下是一個示例題目和參考答案,，幫助你理解如何運用所學的詞匯：

Question: If x is an integer, what is the value of x in the equation 3x + 5 = 20?

Answer: To solve for x, subtract 5 from both sides to get 3x = 15. Then divide by 3 to find x = 5.

預測與備考建議

根據(jù)近年來的考試趨勢，GRE數(shù)學部分越來越注重考察考生的邏輯推理能力和對數(shù)學概念的理解,。因此,，在備考過程中，除了記憶詞匯外,，還要注重理解每個概念的內涵及其應用,。??

最后,，保持良好的心態(tài)，合理安排復習時間,，確保在考試前有充足的準備,。祝你在GRE考試中取得理想的成績！??

GRE Geometry Knowledge Points are essential for any student preparing for the GRE exam. Geometry questions can appear in both the Quantitative Reasoning section and the Analytical Writing section, making it crucial to have a solid understanding of various geometric concepts. In this article, we will cover key geometry topics, provide examples, and offer tips for effective preparation. ??

1. Basic Shapes and Properties

Understanding the properties of basic shapes such as triangles, circles, squares, and rectangles is fundamental. For instance, knowing the formulas for area and perimeter can save you time during the exam. Here are some important formulas:

• Triangle: Area = 1/2 × base × height
• Circle: Area = π × radius2; Circumference = 2 × π × radius
• Rectangle: Area = length × width; Perimeter = 2 × (length + width)

2. Triangles

Triangles are a significant part of GRE geometry. You should be familiar with different types of triangles, such as equilateral, isosceles, and right triangles. The Pythagorean theorem is particularly important for right triangles:

a2 + b2 = c2, where c is the hypotenuse.

For example, if you have a right triangle with legs measuring 3 and 4, applying the theorem gives:

32 + 42 = c2 → 9 + 16 = c2 → c2 = 25 → c = 5

3. Circles

Circles often appear in GRE questions, so understanding their properties is crucial. Key points include:

• The diameter is twice the radius.
• The area and circumference formulas mentioned earlier.
• Angles formed by radii and chords.

For instance, if a circle has a radius of 7, then its area is:

Area = π × 72 = 49π

4. Coordinate Geometry

Coordinate geometry involves plotting points on a Cartesian plane. Familiarity with the distance formula is essential:

d = √[(x? - x?)2 + (y? - y?)2]

This formula helps in finding the distance between two points, which can be critical in solving problems efficiently. For example, to find the distance between points (1, 2) and (4, 6):

d = √[(4 - 1)2 + (6 - 2)2] = √[32 + 42] = √[9 + 16] = √25 = 5

5. Angles and Lines

Understanding angles, parallel lines, and transversals is also vital. Remember that:

• Sum of angles in a triangle = 180°
• Vertical angles are equal.
• Corresponding angles are equal when lines are parallel.

For example, if two lines are cut by a transversal creating alternate interior angles, those angles are equal, which is useful in many GRE questions. ??

Practice Problems

Here are some practice problems to test your knowledge:

• What is the area of a triangle with a base of 10 and a height of 5?
• If the radius of a circle is doubled, how does the area change?
• Find the distance between the points (-3, 4) and (1, -2).

Answers:

• Area = 1/2 × 10 × 5 = 25
• Area increases by a factor of four since area = πr2.
• d = √[(1 - (-3))2 + (-2 - 4)2] = √[42 + (-6)2] = √[16 + 36] = √52 ≈ 7.21

Final Tips

To excel in GRE geometry, practice is key. Utilize resources such as GRE prep books, online quizzes, and study groups. Additionally, consider timing yourself while practicing to simulate exam conditions. This approach will help you manage your time effectively during the actual test. Good luck with your studies! ??

Preparing for the GRE can be a daunting task, especially when it comes to mastering the mathematical vocabulary that frequently appears on the test. In this article, we will explore some of the most common mathematical terms you might encounter, along with tips on how to effectively study them. So, let's dive into the world of GRE math vocabulary! ??

Understanding Key Terms

One of the first steps in preparing for the GRE is to familiarize yourself with key mathematical terms. Here are a few essential words to get you started:

• Mean: The average of a set of numbers, calculated by dividing the sum of all values by the number of values.
• Median: The middle value in a list of numbers arranged in ascending order. If there is an even number of values, the median is the average of the two middle numbers.
• Mode: The number that appears most frequently in a data set.
• Range: The difference between the highest and lowest values in a set.
• Standard Deviation: A measure of the amount of variation or dispersion in a set of values.

Practice Makes Perfect

Once you've familiarized yourself with these terms, the next step is to practice using them in context. Here’s a sample question that incorporates some of the vocabulary we've discussed:

Question: Given the data set {3, 7, 7, 2, 5}, calculate the mean, median, mode, and range.

Answer:

• Mean: (3 + 7 + 7 + 2 + 5) / 5 = 24 / 5 = 4.8
• Median: When arranged in order {2, 3, 5, 7, 7}, the median is 5.
• Mode: The mode is 7, as it appears most frequently.
• Range: 7 - 2 = 5.

Utilizing Resources

To further enhance your understanding, consider using various resources such as GRE prep books, online courses, and flashcards. These tools can help reinforce your knowledge and provide practice questions. Websites like Khan Academy offer free resources that explain these concepts in detail.

Creating a Study Plan

Developing a structured study plan is crucial for effective preparation. Allocate specific times each week to focus on math vocabulary, and include practice problems in your sessions. For instance, you could dedicate Mondays to reviewing terms, Wednesdays to solving related problems, and Fridays to taking practice quizzes. Consistency is key! ???

Engaging with Peers

Joining a study group can also be beneficial. Discussing mathematical concepts with peers can deepen your understanding and expose you to different problem-solving strategies. You can use platforms like to connect with fellow test-takers and share resources.

Staying Positive

Finally, it's important to maintain a positive mindset throughout your preparation. While the GRE can be challenging, remember that with dedication and the right strategies, you can succeed. Celebrate small victories along the way, whether it’s mastering a new term or solving a complex problem. ??

In conclusion, mastering GRE high-frequency math vocabulary is a process that requires time and effort. By understanding key terms, practicing regularly, utilizing available resources, creating a study plan, engaging with peers, and maintaining a positive attitude, you'll be well on your way to achieving your desired score. Good luck! ??