在数学课程学习和考试中,公式的运用是非常普遍也是非常重要的,今天A加未来小编带大家来解析AQA考试局考试大纲中所列举的一些常见GCSE数学公式,大家可以根据本文的列举分类进行这些公式的了解和掌握,一起来了解一下吧!
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AQA考试局常见GCSE数学公式整理思维导图模板大纲
在数学课程学习和考试中,公式的运用是非常普遍也是非常重要的,今天A加未来小编带大家来解析AQA考试局考试大纲中所列举的一些常见GCSE数学公式,大家可以根据本文的列举分类进行这些公式的了解和掌握,一起来了解一下吧!
The quadratic formula
The solutions ofax2+bx+c=0, wherea≠0
Circumference and area of a circle
Whereris the radius anddis the diameter:
Circumference of a circle =2πr=πd
Area of a circle =πr2
Pythagoras’ theorem
In any right-angled triangle wherea,bandcare lengths of the sides andcis the hypotenuse:
a2+b2=c2
Trigonometry formulae
In any right-angled triangleABCwherea,bandcare lengths of the sides andcis the hypotenuse:
sinA=ac,cosA=bc,tanA=ab
InanytriangleABCwherea,bandcare lengths of the sides:
sine rule:asinA=bsinB=csinC
cosine rule:a2=b2+c2-2bccosA
Area =12absinC
Perimeter, area, surface area and volume formulae
Whereaandbare the lengths of the parallel sides andhis their perpendicular separation:
Area of a trapezium =12(a+b)h
Volume of a prism = area of cross section x length
Compound interest
WherePis the principal amount,ris the interest rate over a given period andnis number of times that the interest is compounded:
Total accrued =P(1+r100)n
Probability
WhereP(A)is the probability of outcomeAandP(B)is the probability of outcomeB:
P(AorB)=P(A)+P(B)-P(AandB)
P(AandB)=P(AgivenB)P(B)
Perimeter, area, surface area and volume formulae
Whereris the radius of the sphere or cone,lis the slant height of a cone andhis the perpendicular height of a cone:
Curved surface area of a cone =πrl
Surface area of a sphere =4πr2
Volume of a sphere =43πr3
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