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[几何] 异面直线最大角

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hjfmhh posted 2021-8-4 07:55 |Read mode
4.png
此题当固定E时,当F在AB上运动时PA与EF的最小角小于等于30度书里已经说明,
是不是还应该说明当F在AB上运动时PA与EF的最大角要大于等于30度,怎么证明呢?

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isee posted 2021-8-4 22:49
回复 1# hjfmhh

不太理解楼主,要表达的意思。

不过,PA与EF所成的角就是30度,这个30度必然不小于PA直线与平面AEF所成的角,总之,EF在平面AEB内,与点E,F的具体位置无关——这两点的位置只影响PE的长度。

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