新GRE數(shù)學考試必考詞組和公式分享
1新GRE數(shù)學考試必考詞組和公式分享
在備考新GRE數(shù)學考試時,，掌握一些基本的數(shù)學公式和詞匯是非常重要的,。本文將為大家整理出一些必考的公式和相關金融詞匯，幫助考生更好地準備考試,。
一元二次方程的重要公式
- (a+b)(a-b)=a2-b2
- (a+b)2=a2+2ab+b2
- (a-b)2=a2-2ab+b2
- (a+b)3=a3+3a2b+3ab2+b3; (a-b)3=a3-3a2b+3ab2-b3
- ax2+bx+c=0的解為 x?,?=(-b±√(b2-4ac))/2a
金融相關詞匯與公式
- Simple Interest 利息
- Principal 本金
- Time 時間
- Rate 利率
- Compound Interest: A=P(1+R)?; 其中A為本利和,，P為本金，R為利率,，n為期數(shù),。
- Discount=Cost*Rate of Discount
- Distance=Speed*Time
勾股定理
Pythagorean Theorem: 在直角三角形中，兩直角邊的平方和等于斜邊的平方,。
多邊形內角和公式
多邊形的內角和為(n-2)×180°,，總對角線數(shù)為n(n-3)/2條，從每一個頂點引出的對角線數(shù)為(n-3)條,；式中 n 為多邊形的邊數(shù),。
立體圖形的表面積和體積
| Volume | Surface Area |
|---|---|
| Rectangular Prism: 長×寬×高 | 2(長×寬 + 長×高 + 寬×高) |
| Cube: 棱長的立方 |
圓周相關公式
| Shape | Volume | Surface Area |
|---|---|---|
| Right Circular Cylinder | πr2h | 2πrh + 2πr2 |
| Sphere | 4πr3/3 | 4πr2 |
| Right Circular Cone | πr2h/3 | πr2 + πrl (l為母線) |
平面直角坐標系公式
設A(x?,y?)和B(x?,y?)是任意兩點，C(x,y)為線段AB的中點,，則x=(x?+x?)/2, y=(y?+y?)/2,。線段AB兩端點間的距離為 √((x?-x?)2+(y?-y?)2)。
通過以上公式的總結,，考生可以更有效地進行復習,。在準備過程中，建議將這些公式記錄下來,，并在空閑時間反復查看,，幫助鞏固知識點。
新GRE數(shù)學考試必考詞組和公式分享希望能為考生們提供有價值的參考,，祝大家在考試中取得優(yōu)異的成績,！
2GRE數(shù)學考試必備公式
對于每一個準備參加GRE考試的考生而言，掌握數(shù)學考試中的重要公式是至關重要的,。以下是一些必備的數(shù)學公式和概念,，希望能幫助你在考試中取得理想的成績！??
1. 基本算術運算
在GRE數(shù)學部分,，基本的加,、減,、乘、除運算是頻繁出現(xiàn)的,。確保你熟悉以下公式：
- 加法： a + b = c
- 減法： a - b = c
- 乘法： a × b = c
- 除法： a ÷ b = c
2. 代數(shù)公式
代數(shù)是GRE數(shù)學的重要組成部分,。以下是一些常用的代數(shù)公式：
- 平方差公式： (a + b)(a - b) = a2 - b2
- 完全平方公式： (a + b)2 = a2 + 2ab + b2
- 根號公式： √(a × b) = √a × √b
3. 幾何公式
幾何問題在GRE數(shù)學中同樣常見，掌握以下公式將幫助你解決相關題目：
- 三角形面積： A = 1/2 × base × height
- 矩形面積： A = length × width
- 圓的面積： A = πr2
- 圓周長： C = 2πr
4. 數(shù)據(jù)分析
在數(shù)據(jù)分析部分,，你需要理解和應用一些統(tǒng)計學的基本概念：
- 平均數(shù)： Mean = (Sum of all values) / (Number of values)
- 中位數(shù)： Median = Middle value when data is sorted
- 眾數(shù)： Mode = Value that appears most frequently
- 標準差： SD = √[(Σ(x - mean)2) / N]
5. 比例與百分比
掌握比例和百分比的計算方法是GRE數(shù)學的關鍵：
- 比例： a : b = a/(a + b)
- 百分比： Percentage = (Part / Whole) × 100%
6. 常見的數(shù)學詞匯
了解一些常見的數(shù)學詞匯有助于你更好地理解題目：
- Sum: 和
- Difference: 差
- Product: 積
- Quotient: 商
7. 實踐與應用
在學習這些公式的同時，建議通過做練習題來鞏固你的知識,?？梢詤⒖家韵骂}目進行練習：
Example Question: If the area of a circle is 50π, what is the radius?
Reference Answer: r = √(Area/π) = √(50) ≈ 7.07
最后，不要忘記定期復習這些公式,，并在模擬考試中應用它們,。通過不斷的練習和復習，你將能夠在GRE數(shù)學部分取得更好的成績,。祝你好運,！??
3GRE數(shù)學常考詞匯
對于準備GRE考試的考生來說,，掌握數(shù)學相關的詞匯是非常重要的,。雖然GRE數(shù)學部分主要側重于計算和應用，但一些特定的術語和概念的理解能幫助你更好地解題,。以下是一些常見的GRE數(shù)學詞匯及其解釋,，幫助你在備考中更有效率。
1. Algebra (代數(shù))
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. It involves solving equations and understanding functions. For example, linear equations are a common topic in GRE math.
2. Geometry (幾何)
Geometry focuses on the properties and relations of points, lines, surfaces, and solids. You might encounter questions involving triangles, circles, and polygons. Remember to familiarize yourself with formulas such as the area and perimeter of various shapes. ??
3. Statistics (統(tǒng)計學)
Statistics is the study of data collection, analysis, interpretation, presentation, and organization. Key concepts include mean, median, and mode. Understanding these terms can help you interpret data-related questions effectively.
4. Probability (概率)
Probability measures the likelihood of an event occurring. Familiarize yourself with terms like outcomes, events, and independent events. A solid grasp of probability principles can aid you in answering related problems. ??
5. Ratio (比例)
A ratio compares two quantities. Understanding how to manipulate ratios is crucial, especially when solving word problems that involve proportions. For instance, if the ratio of boys to girls in a class is 2:3, it means for every 2 boys, there are 3 girls.
6. Function (函數(shù))
A function is a relation between a set of inputs and a set of permissible outputs. Knowing how to interpret function notation and graphs is essential for solving GRE questions. Functions can be linear, quadratic, or exponential. ??
7. Integer (整數(shù))
Integers are whole numbers that can be positive, negative, or zero. Many GRE questions require you to work with integers, so be comfortable with operations involving them, such as addition, subtraction, multiplication, and division.
8. Sequence (序列)
A sequence is an ordered list of numbers. Familiarity with arithmetic and geometric sequences can help you tackle questions that ask for terms in a series. For example, the formula for the nth term of an arithmetic sequence is a_n = a_1 + (n-1)d.
9. Inequality (不等式)
Inequalities express a relationship where one quantity is less than or greater than another. Understanding how to solve and graph inequalities is vital for certain GRE questions. For example, x > 5 means x can be any number greater than 5.
10. Angle (角度)
Angles are formed by two rays originating from a common endpoint. Key angle relationships include complementary angles (sum to 90 degrees) and supplementary angles (sum to 180 degrees). Knowing these relationships can help you solve geometry problems more efficiently. ??
在備考過程中,，建議考生使用這些詞匯進行練習,，特別是通過做模擬題和復習相關的數(shù)學概念。通過不斷地練習,，你將能夠熟悉這些詞匯,，并在GRE考試中自信地應對各種數(shù)學問題。
最后,，保持積極的態(tài)度和良好的時間管理是成功的關鍵,。祝你在GRE數(shù)學部分取得優(yōu)異成績！??
