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375.已知α_1,α_2,…,α_n各数的倒数組成一等差数列。求証: α_1α_2+α_2α_3+…+α_(n-1)α_n=(n-1)α_1α_n。 376.已知x≠y,問|x|+|y|<100有多少組整数解?(x,y与y,x我们认为是不同的)。 377.求証:以定线段为底可作六个等角三角形,使它們的六个頂在同一圆周上。 378.已知一直三棱柱的底是一直角三角形它有一个锐角等于α,所对的直角边长等于
375. It is known that the reciprocal of each number of α_1, α_2, ..., α_n forms an equal difference series. Proof: α_1α_2+α_2α_3+...+α_(n-1)α_n=(n-1)α_1α_n. 376. Given x≠y, how many sets of integer solutions are there for |x|+|y|<100? (x,y,y,x we think are different). 377. Verification: Six angled triangles can be made with the line segment as the base, so that their six tops are on the same circumference. 378. It has been known that the base of a triangular prism is a straight-angled triangle. It has an acute angle equal to α, and the length of the right-angled side is equal to