∴點(diǎn)Q走過的路程是1+2+3+4=10,
Q處于:1-2+3-4=4-6=-2;
(2)①當(dāng)點(diǎn)A在原點(diǎn)左邊時,設(shè)需要第n次到達(dá)點(diǎn)A,則
n+1 |
2 |
解得n=39,
∴動點(diǎn)Q走過的路程是
1+|-2|+3+|-4|+5+…+|-38|+39,
=1+2+3+…+39,
=
(1+39)×39 |
2 |
∴時間=780÷2=390秒(6.5分鐘);
②當(dāng)點(diǎn)A原點(diǎn)左邊時,設(shè)需要第n次到達(dá)點(diǎn)A,則
n |
2 |
解得n=40,
∴動點(diǎn)Q走過的路程是
1+|-2|+3+|-4|+5+…+39+|-40|,
=1+2+3+…+40,
=
(1+40)×40 |
2 |
∴時間=820÷2=410秒 (6
5 |
6 |