已知:c=10,且a,b满足(a+26)2+|b+c|=0,请回答问题:(1)请直接写出a,b,c的值:a= ...
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已知:c=10,且a,b满足(a+26)2+|b+c|=0,请回答问题:
(1)请直接写出a,b,c的值:a= ,b= ;
(2)在数轴上a、b、c所对应的点分别为A、B、C,记A、B两点间的距离为AB,则AB= ,AC= ;
(3)在(1)(2)的条件下,若点M从点A出发,以每秒1个单位长度的速度向右运动,当点M到达点C时,点M停止;当点M运动到点B时,点N从点A出发,以每秒3个单位长度向右运动,点N到达点C后,再立即以同样的速度返回,当点N到达点A时,点N停止.从点M开始运动时起,至点M、N均停止运动为止,设时间为t秒,请用含t的代数式表示M,N两点间的距离.
【回答】
(1)a= -26,b=-10;···············································································(2分)
(2) AB=16;AC=36;·····················································································(4分)
(3)①当0≤t≤16时,MN=t,
②当16<t≤24时,MN=t-3(t-16)=-2t+48,
③当24<t≤28时,MN=3(t-16)-t=2t-48,
④当28<t≤30时,MN=36×2-t-3(t-16)=-4t+120,
⑤当30<t≤36时,MN=4(t-30)=4t-120,
⑥当36<t≤40时,MN=3(t-16)-36=3t-84.···
知识点:有理数的乘方
题型:解答题
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