问题
选择题
一个棱长为6的正四面体纸盒内放一个正方体,若正方体可以在纸盒内任意转动,则正方体棱长的最大值为( )
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答案
设球的半径为:r,由正四面体的体积得:
4×
×r×1 3
×62=3 4
×1 3
×62×3 4
,62-(
×2 3
×6)23 2
所以r=
,6 2
设正方体的最大棱长为a,
∴3a2=(
)2,6
∴a=
.2
故选D.
一个棱长为6的正四面体纸盒内放一个正方体,若正方体可以在纸盒内任意转动,则正方体棱长的最大值为( )
|
设球的半径为:r,由正四面体的体积得:
4×
×r×1 3
×62=3 4
×1 3
×62×3 4
,62-(
×2 3
×6)23 2
所以r=
,6 2
设正方体的最大棱长为a,
∴3a2=(
)2,6
∴a=
.2
故选D.
阅读下面短文,请根据上下文意思及方框中所给单词、短语的适当形式填空。 | |
The American explorer, R.E Bird, became the first man to fly over the South Pole in 1929. He 1 a lot of photographs during the flight but then he 2 difficulties. His plane could not get over the mountains so he 3 his men to throw out heavy food sacks. The plane then 4 the mountains and 5 without further trouble. |