解答题 地区:上海 版本:沪教版(SHM) 年级:六年级(Y6) 年份:2026 题目来源:其它 难易度:
有一个电子跳蚤在数轴上跳来跳去,每跳到负数就亮一次红灯,跳到零或正数不亮灯。起点是表示数 -2 的点(记亮一次红灯),第一步向左跳 1 个长度单位,第二步向右跳 2 个长度单位,第三步向左跳 3 个长度单位,第四步向右跳 4 个长度单位,依此类推。

(1) 当跳到第十步时,电子跳蚤离原点的距离是多少?亮了几次红灯?

(2) 若要亮十次红灯,则电子跳蚤至少需要跳几次?此时,离原点的距离是多少?

There is an electronic flea hopping back and forth along a number line; every time it lands on a negative number, a red light flashes once, whilst it does not flash when it lands on zero or a positive number. It starts at the point representing the number −2 (marking one flash of the red light). In the first step, it jumps 1 unit to the left; in the second step, 2 units to the right; in the third step, 3 units to the left; in the fourth step, 4 units to the right; and so on.

(1) When it reaches the tenth step, how far is the electronic flea from the origin? How many times has the red light flashed?

(2) If the red light is to flash ten times, how many times at least must the electronic flea jump? At this point, how far is it from the origin?