有几道关于比和比例的数学题,回答要求如下: 1、要算式不要方程! 2、简要说明为什么要这样做(小标题)
1、A、B两地相距360米,前一半时间小华用速度A行走,后一半时间用速度B走完路程,又知A:B=5:4,前一半路程所用时间与后一半路所用时间的比是多少?2、猎狗发现19米...
1、A、B两地相距360米,前一半时间小华用速度A行走,后一半时间用速度B走完路程,又知A:B=5:4,前一半路程所用时间与后一半路所用时间的比是多少?
2、猎狗发现19米远的地方有一只野兔,立即追赶,猎狗步子大,它跑4步的路兔子要跑7步,但兔子的动作快,它跑3步的时间,猎狗却只能跑2步,猎狗至少要跑多少米才能追上兔子 展开
2、猎狗发现19米远的地方有一只野兔,立即追赶,猎狗步子大,它跑4步的路兔子要跑7步,但兔子的动作快,它跑3步的时间,猎狗却只能跑2步,猎狗至少要跑多少米才能追上兔子 展开
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1、就把当作5份和4份来算
360/(5+4)=40,40x5=200(前一半时间走的路程),360-200=160(后一半)
180/5=36(前一半路程所用时间)
(200-180)/5+160/4=44(后一半)
所用时间比------36:44=9:11
2、兔跑3步远的时间,狗跑的路相当于兔子的3.5步(7/(4/2)=3.5)
所以狗与兔子的距离是以半步缩短的(3.5-3)
狗跑的3步(兔子的大小)是用来抵消兔子跑的路程,0.5步是追赶的
用这0.5步,总共追赶了19米的距离
0.5:3=1:6,所以抵消的距离是追赶距离的6倍
总共抵消6x19=114米的距离
所以狗总共跑了114+19=133米
360/(5+4)=40,40x5=200(前一半时间走的路程),360-200=160(后一半)
180/5=36(前一半路程所用时间)
(200-180)/5+160/4=44(后一半)
所用时间比------36:44=9:11
2、兔跑3步远的时间,狗跑的路相当于兔子的3.5步(7/(4/2)=3.5)
所以狗与兔子的距离是以半步缩短的(3.5-3)
狗跑的3步(兔子的大小)是用来抵消兔子跑的路程,0.5步是追赶的
用这0.5步,总共追赶了19米的距离
0.5:3=1:6,所以抵消的距离是追赶距离的6倍
总共抵消6x19=114米的距离
所以狗总共跑了114+19=133米
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1、就把当作5份和4份来算
360/(5+4)=40,40x5=200(前一半时间走的路程),360-200=160(后一半)
180/5=36(前一半路程所用时间)
(200-180)/5+160/4=44(后一半)
所用时间比------36:44=9:11
2、兔跑3步远的时间,狗跑的路相当于兔子的3.5步(7/(4/2)=3.5)
所以狗与兔子的距离是以半步缩短的(3.5-3)
狗跑的3步(兔子的大小)是用来抵消兔子跑的路程,0.5步是追赶的
用这0.5步,总共追赶了19米的距离
0.5:3=1:6,所以抵消的距离是追赶距离的6倍
总共抵消6x19=114米的距离
所以狗总共跑了114+19=133米
咳咳、不能用方程……~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·
360/(5+4)=40,40x5=200(前一半时间走的路程),360-200=160(后一半)
180/5=36(前一半路程所用时间)
(200-180)/5+160/4=44(后一半)
所用时间比------36:44=9:11
2、兔跑3步远的时间,狗跑的路相当于兔子的3.5步(7/(4/2)=3.5)
所以狗与兔子的距离是以半步缩短的(3.5-3)
狗跑的3步(兔子的大小)是用来抵消兔子跑的路程,0.5步是追赶的
用这0.5步,总共追赶了19米的距离
0.5:3=1:6,所以抵消的距离是追赶距离的6倍
总共抵消6x19=114米的距离
所以狗总共跑了114+19=133米
咳咳、不能用方程……~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·~·
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