Are You Nuts?的歌詞如下:
Yeah, you know what time it is, right?
It's your boy YG with the hottest beat, you heard
You heard, right?
Yeah, you know what I'm about to do, right?
Yeah, I'm about to get nuts
Verse 1:
You don't know what I'm about to do
I'm about to bust it like I'm crazy
You know what I'm about to do
I'm about to make it big, gonna show you
They said it's impossible
I'm the only one who believe it
They say I won't make it past 25
But they ain't seen my mind, that's for sure
Chorus:
Are you nuts? You need to slow down, boy
Are you nuts? Gonna take the fast road, boy
Are you nuts? Gonna take the long road, boy
Gonna take my time and do my thing, now boy
Verse 2:
Everybody on my grind
They call me YG the visionary
So much hate, but I won't let it phase me
Because my goal is higher than a cloud 9
The struggle's over now
Got the money and the cars now
The clothes, jewelry, whatever you want
All on my own now, so check it out now
Chorus:
Are you nuts? You need to slow down, boy
Are you nuts? Gonna take the fast road, boy
Are you nuts? Gonna take the long road, boy
Gonna take my time and do my thing, now boy
Outro:
I ain't going nowhere, gonna keep grinding
You need to stop hating and join me in the blending
Cause we about to make it big and change the world like Levi一條河流的兩岸分別為A,B兩點,小明沿河岸邊走了3次,他可能走的路線如下圖所示(共3種):/---/\/\/-\/-.\\----\\----/\/-\/- \--/-。請探索: (1)小明第一次走到D點的路線可能有幾種? (2)小明三次走過的總路程是多少? (3)小明三次走過的總路程可能是最短的嗎?為什麼? (4)小明三次走過的總路程可能是最長的嗎?為什麼? (5)小明三次走過的總路程最短時,小明第三次走的路線可能是哪一種?為什麼? (6)小明三次走過的總路程最長時,小明第三次走的路線可能是哪一種?為什麼?
【分析】
(1)小明第一次走到D點的路線有三種可能,因為點D在A岸和B岸之間。 答:小明第一次走到D點的路線可能有$3$種。 (2)$(4)5$分小明第一次、第二次和第三次走過的總路程:$\frac{3(4 + 3 + 3)}{3}$$= \frac{18}{3} = 6$($m$). 答:小明三次走過的總路程是$6m$。 (3)小明三次走過的總路程不可能最短,因為小明三次都從同一點出發,每次走的路線不同,所以總路程一定大於或等於起點到終點的距離。 (4)小明三次走過的總路程可能最長,因為小明三次都從同一點出發,並且每次走的都是一條較長的路線,所以總路程可能大於起點到終點的距離。 (5)第三次走的路程是$\frac{4}{3}$的小路或小路,那么前兩次所走的路程是較長的路線時,小明三次走過的總路程最短。 (6)第三次走的路程是整個路線時,小明三次走過的總路程最長。
【解答】
(1)$3$種
(2)$6m$ (3)不可能最短。因為路線不同,所以總路程一定大於或等於起點到終點的距離。 (4)可能。因為路線不同,所以總路程可能大於起點到終點的距離。 (5)$\frac{4}{3}$的小路或小路 (6)整個路線