课件30张PPT。确定起跑线132终点线情境导入探索新知探索新知85.96m72.6m1.25m1.25m1.25m探索新知探索新知85.96m72.6m1.25m1.25m1.25m探索新知探索新知注:π取3.14159探索新知85.96m72.6m第一道直径:周长:全长:72.6m72.6×3.14159≈228.08(m)85.96×2+228.08=400(m)探索新知72.6228.08400注:π取3.14159探索新知85.96m72.6m第一道直径:周长:全长:72.6m228.08m400m第二道直径:周长:全长:72.6+1.25+1.25=75.1(m)75.1×3.14159≈235.93(m)85.96×2+235.93=407.85(m)1.25m1.25m探索新知72.6228.0840075.1235.93407.85注:π取3.14159探索新知85.96m72.6m第二道直径:周长:全长:75.1m235.93m407.85m第三道直径:周长:全长:75.1+1.25+1.25=77.6(m)77.6×3.14159≈243.79(m)85.96×2+243.79=415.71(m)1.25m1.25m75.1m探索新知72.6228.0840075.1235.93407.8577.6243.79415.71注:π取3.14159探索新知85.96m72.6m第三道直径:周长:全长:77.6m243.79m415.71m第四道直径:周长:全长:77.6+1.25+1.25=80.1(m)80.1×3.14159≈251.64(m)85.96×2+251.64=423.56(m)1.25m1.25m77.6m探索新知72.6228.0840075.1235.93407.8577.6243.79415.7180.1251.64423.56注:π取3.14159探索新知85.96m72.6m第四道直径:周长:全长:80.1m251.64m423.56m第五道直径:周长:全长:80.1+1.25+1.25=82.6(m)82.6×3.14159≈259.50(m)85.96×2+259.5=431.42(m)探索新知72.6228.0840075.1235.93407.8577.6243.79415.7180.1251.64423.5682.6259.5431.42注:π取3.14159探索新知85.96m72.6m第五道直径:周长:全长:82.6m259.5m431.42m第六道直径:周长:全长:82.6+1.25+1.25=85.1(m)85.1×3.14159≈267.35(m)85.96×2+267.35=439.27(m)探索新知72.6228.0840075.1235.93407.8577.6243.79415.7180.1251.64423.5682.6259.5431.4285.1267.35439.27注:π取3.14159探索新知85.96m72.6m第六道直径:周长:全长:85.1m267.35m439.27m第七道直径:周长:全长:85.1+1.25+1.25=87.6(m)87.6×3.14159≈275.20(m)85.96×2+275.2=447.12(m)探索新知72.6228.0840075.1235.93407.8577.6243.79415.7180.1251.64423.5682.6259.5431.4285.1267.35439.2787.6275.2447.12注:π取3.14159探索新知85.96m72.6m第七道直径:周长:全长:87.6m275.2m447.12m第八道直径:周长:全长:87.6+1.25+1.25=90.1(m)90.1×3.14159≈283.06(m)85.96×2+283.06=454.98(m)探索新知72.6228.0840075.1235.93407.8577.6243.79415.7180.1251.64423.5682.6259.5431.4285.1267.35439.2787.6275.2447.1290.1283.06454.98注:π取3.14159各跑道的起跑线应该相差多少米?7.85m/ 7.86m7.857.867.857.867.857.857.86探索新知72.6228.0840075.1235.93407.8577.6243.79415.7180.1251.64423.5682.6259.5431.4285.1267.35439.2787.6275.2447.1290.1283.06454.98注:π取3.14159探索新知两条直道是一样的,所以只需要看圆的周长。圆的周长是这样算的:第一道:72.6×π第二道:(72.6+2.5)×π = 72.6π+2.5π第三道:(75.1+2.5)×π = 75.1π+2.5π第四道:(77.6+2.5)×π = 77.6π+2.5π第五道:(80.1+2.5)×π = 80.1π+2.5π第六道:(82.6+2.5)×π = 82.6π+2.5π第七道:(85.1+2.5)×π = 85.1π+2.5π第八道:(87.6+2.5)×π = 87.6π+2.5π每一条跑道都在上一条跑道的基础上增加2.5π的长度。你能算出2.5π是多少米吗?探索新知我不用算出每条跑道的长度,也知道它们相差多少米?终点起点200米的跑道,每条道的长度都是它们全长的一半。第一条:400÷2=200(m)第二条:407.85÷2=203.925(m)第三条:415.71÷2=207.855(m)第四条:423.56÷2=211.78(m)第五条:431.42÷2=215.71(m)每条道相差3.925m或3,39m。所以起跑线应依次提前约3.925m。200米跑步比赛,跑道宽为1.25米,起跑线应依次提前多少米?跟踪训练四、课后小结这节课你有什么收获?还有什么疑问吗?课堂小结谢 谢 观 看!