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數(shù)學(xué)計(jì)算常用公式：

(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

時(shí)間Time3*Simple Interest:

利息Interest=本金Principal

Compound Interest:A=(1+R)n;A為本利和，P為本金,R為利率,n為期數(shù)。

Time3Rate of Discount

Distance=Speed3

Discount=Cost

Pythagorean Theorem(勾股定理):直角三角形(right triangle)兩直角邊(legs)的平方和等于斜邊 (hypotenuse)的平方。

多變形的內(nèi)角和：(n-2)×180°，總對(duì)角線數(shù)為n(n-3)/2條，從每一個(gè)頂點(diǎn)引出的對(duì)角線數(shù)為(n-3)條;式中：n為多邊形的邊數(shù)

平面直角坐標(biāo)系中，A(x1,y1)和B(x2,y2)是任意兩點(diǎn)，C(x,y)是線段AB的中點(diǎn)，則x=(x1+x2)/2,,y=(y1+y2)/2,線段AB兩端點(diǎn)間的距離=

平面圖形的周長(zhǎng)和面積：

Perimeter Area

Triangle 三邊之和 (底×高)/2

Square 邊長(zhǎng)×4 邊長(zhǎng)的平方

Rectangle (長(zhǎng)+寬)×2 長(zhǎng)×寬

Parallelogram (長(zhǎng)+寬)×2 底×高

Trapezoid 四邊之和 (上底+下底)×高/2

Rhombus 邊長(zhǎng)×4 兩條對(duì)角線之積的1/2

Circle 2πr=πd πr2

立體圖形的表面積和體積：

Volume Surface Area

Rectangular Prism 長(zhǎng)×寬×高 2(長(zhǎng)×寬+長(zhǎng)×高+寬×高)

Cube 棱長(zhǎng)的立方 6×棱長(zhǎng)×棱長(zhǎng)

Right Circular Cylinder πr2h 2πr h(側(cè))+2πr2(底)

Sphere 4πr3/3 4πr2

Right Circular Cone πr2h/3 lr/2 (l為母線)

練習(xí)題：

What is the average (arithmetic mean) of a, b, and c ?

(1)a + 2b + 3c = 10

(2)3a + 2b + c = 14

Answer Choices

A. Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient.

B. Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are not sufficient.

Answer:

C

Explanation:

The average of a, b, and c is a+b+c/3. Statement (1) says that a+2b+3c = 10, but there is not enough information to determine the value of a+b+c. Thus, statement (1) alone is not sufficient. Similarly, the equation statement (2) also fails to give enough information, so statement (2) alone is not sufficient. If the equations in statements (1) and (2) are added together, term by term, the result is 4a+4b+4c=24, which means that a+b+c = 6. The average is therefore 6/3 = 2. Thus, BOTH statements TOGETHER are sufficient to answer the question. The best answer is C.

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