The figures above show a hexagonal nut that has a width of 1~$\frac{5}{16}$~ inches and a wrench that, in order to fit the nut. must have a width of at least 1~$\frac{5}{16}$~ inches. Of all the wrenches that fit the nut and have widths that are whole numbers of millimeters, the wrench that fits the nut most closely has a width of how many millimeters?
(Note: 1 inch ≈ 25. 4 millimeters)
30
31
32
33
34
硬算计算量还蛮大的,一定会超时。作为天朝人都会超时的话,肯定就有方法能省时:
换成分数,凑凑化简会好很多:
21/5*127/16
=(4+1/5)*(120/16+7/16)
=...
=30+13/4+7/(5*16)
=33+1/4+7/(5*16)>33.25
选34。
关键是能看感受到21和16之间都在召唤4的到来吧……
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