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数学计算:
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    总述:本次共解1题。其中
           ☆算术计算1题

〖1/1算式〗
    作业:求算式 2×14300×0.5^3×(sin(180×0.253))^3÷3+14300×0.27×0.5^2×(1-sin(180×2×0.253)/(6.283×0.253))×(0.4375)×(sin(180×0.253)+sin(180×(1.25-2×0.253)))÷(1.25-3×0.253) 的值.
    题型:数学计算
    解:
          2×14300×0.5^3×(sin(180×0.253))^3÷3+14300×0.27×0.5^2×(1-sin(180×2×0.253)/(6.283×0.253))×(0.4375)×(sin(180×0.253)+sin(180×(1.25-2×0.253)))÷(1.25-3×0.253)
        =2×14300×0.5^3×(sin45.54)^3÷3+14300×0.27×0.5^2×(1-sin(180×2×0.253)/(6.283×0.253))×(0.4375)×(sin(180×0.253)+sin(180×(1.25-2×0.253)))÷(1.25-3×0.253)
        =2×14300×0.5^3×0.999914^3÷3+14300×0.27×0.5^2×(1-sin(180×2×0.253)/(6.283×0.253))×(0.4375)×(sin(180×0.253)+sin(180×(1.25-2×0.253)))÷(1.25-3×0.253)
        =2×14300×0.5^3×0.999914^3÷3+14300×0.27×0.5^2×(1-sin91.08/(6.283×0.253))×(0.4375)×(sin(180×0.253)+sin(180×(1.25-2×0.253)))÷(1.25-3×0.253)
        =2×14300×0.5^3×0.999914^3÷3+14300×0.27×0.5^2×(1-sin91.08/1.589599)×(0.4375)×(sin(180×0.253)+sin(180×(1.25-2×0.253)))÷(1.25-3×0.253)
        =2×14300×0.5^3×0.999914^3÷3+14300×0.27×0.5^2×0.983528×(0.4375)×(sin(180×0.253)+sin(180×(1.25-2×0.253)))÷(1.25-3×0.253)
        =2×14300×0.5^3×0.999914^3÷3+14300×0.27×0.5^2×0.983528×0.4375×(sin(180×0.253)+sin(180×(1.25-2×0.253)))÷(1.25-3×0.253)
        =2×14300×0.5^3×0.999914^3÷3+14300×0.27×0.5^2×0.983528×0.4375×(sin45.54+sin(180×(1.25-2×0.253)))÷(1.25-3×0.253)
        =2×14300×0.5^3×0.999914^3÷3+14300×0.27×0.5^2×0.983528×0.4375×(sin45.54+sin(180×0.744))÷(1.25-3×0.253)
        =2×14300×0.5^3×0.999914^3÷3+14300×0.27×0.5^2×0.983528×0.4375×(sin45.54+sin133.92)÷(1.25-3×0.253)
        =2×14300×0.5^3×0.999914^3÷3+14300×0.27×0.5^2×0.983528×0.4375×1.920072÷(1.25-3×0.253)
        =2×14300×0.5^3×0.999914^3÷3+14300×0.27×0.5^2×0.983528×0.4375×1.920072÷0.491
        =2×14300×0.125×0.999914^3÷3+14300×0.27×0.5^2×0.983528×0.4375×1.920072÷0.491
        =2×14300×0.125×0.999742022187364÷3+14300×0.27×0.5^2×0.983528×0.4375×1.920072÷0.491
        =2×14300×0.125×0.999742022187364÷3+14300×0.27×0.25×0.983528×0.4375×1.920072÷0.491
        =28600×0.125×0.999742022187364÷3+14300×0.27×0.25×0.983528×0.4375×1.920072÷0.491
        =3575×0.999742022187364÷3+14300×0.27×0.25×0.983528×0.4375×1.920072÷0.491
        =3574.077729÷3+14300×0.27×0.25×0.983528×0.4375×1.920072÷0.491
        =1191.359243+14300×0.27×0.25×0.983528×0.4375×1.920072÷0.491
        =1191.359243+3861×0.25×0.983528×0.4375×1.920072÷0.491
        =1191.359243+965.25×0.983528×0.4375×1.920072÷0.491
        =1191.359243+949.350402×0.4375×1.920072÷0.491
        =1191.359243+415.340801×1.920072÷0.491
        =1191.359243+797.484242÷0.491
        =1191.359243+1624.204159
        =2815.563402

    答案:2×14300×0.5^3×(sin(180×0.253))^3÷3+14300×0.27×0.5^2×(1-sin(180×2×0.253)/(6.283×0.253))×(0.4375)×(sin(180×0.253)+sin(180×(1.25-2×0.253)))÷(1.25-3×0.253)=2815.563402
    注:弧度制


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