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数学计算:
    直接输入数学计算式,点击“下一步”按钮,即可获得计算答案。
    它支持数学函数(包括三角函数)。
    当前位置:数学运算 > 数学计算史 > 答案
    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 1/2+1/4+1/6+1/8+1/10+1/12+1/14+1/16+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50 的值.
    题型:数学计算
    解:
          1/2+1/4+1/6+1/8+1/10+1/12+1/14+1/16+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+1/4+1/6+1/8+1/10+1/12+1/14+1/16+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+1/6+1/8+1/10+1/12+1/14+1/16+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+1/8+1/10+1/12+1/14+1/16+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+1/10+1/12+1/14+1/16+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+1/12+1/14+1/16+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+1/14+1/16+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+1/16+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+1/38+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+1/40+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+1/42+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+1/44+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+1/46+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+1/48+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+1/50
        =0.5+0.25+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =0.75+0.166667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =0.916667+0.125+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.041667+0.1+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.141667+0.083333+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.225+0.071429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.296429+0.0625+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.358929+0.055556+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.414485+0.05+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.464485+0.045455+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.50994+0.041667+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.551607+0.038462+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.590069+0.035714+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.625783+0.033333+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.659116+0.03125+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.690366+0.029412+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.719778+0.027778+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.747556+0.026316+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.773872+0.025+0.02381+0.022727+0.021739+0.020833+0.02
        =1.798872+0.02381+0.022727+0.021739+0.020833+0.02
        =1.822682+0.022727+0.021739+0.020833+0.02
        =1.845409+0.021739+0.020833+0.02
        =1.867148+0.020833+0.02
        =1.887981+0.02
        =1.907981

    答案:1/2+1/4+1/6+1/8+1/10+1/12+1/14+1/16+1/18+1/20+1/22+1/24+1/26+1/28+1/30+1/32+1/34+1/36+1/38+1/40+1/42+1/44+1/46+1/48+1/50=1.907981


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