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1. 平方差公式:$(a+b)^2 = a^2 + 2ab + b^2 , (a-b)^2 = a^2 - 2ab + b^2$2. 立方差公式:$a^3 + b^3 = (a+b)(a^2 - ab + b^2), a^3 - b^3 = (a-b)(a^2 + ab + b^2)$3. 补全平方公式:$a^2 - b^2 = (a+b)(a-b)$4. 二项式定理:$(a+b)^n = \\sum_{k=0}^{n}C_n^ka^{n-k}b^k$5. 度分秒转换公式:$1°=60', 1'=60'', 1°=3600''$6. 正弦定理:$\\frac{a}{\\sin A}=\\frac{b}{\\sin B}=\\frac{c}{\\sin C}$7. 余弦定理:$a^2=b^2+c^2-2bc\\cos A$8. 勾股定理:$a^2+b^2=c^2$9. 相似三角形比例公式:$\\frac{a}{a'}=\\frac{b}{b'}=\\frac{c}{c'}$10. 面积公式:直角三角形面积为$\\frac12ab$, 任意三角形面积为$\\frac12ab\\sin C$。