Originally posted by 落雷 at 2005-1-21 10:47 PM: 咩來的 1) if 1<sup>3</sup>+2<sup>3</sup>+3<sup>3</sup>+...15<sup>3</sup>=14400 , find 2<sup>3</sup>+4<sup>3</sup>+6<sup>3</sup>+...30<sup>3</sup> 2) Let a<sub>1</sub> , a<sub>2</sub> , a<sub>3</sub>... be a sequence of positive integers , a<sub>1</sub><a<sub>2</sub><a<sub>3</sub><...and a<sub>n+2</sub>=a<sub>n</sub>+a<sub>n+1</sub> for all n>1. if a<sub>7</sub>=200 , finda<sub>8</sub> 3) ABCDEF is a convex hexagon. Each of three diagonals AD , BE , CF bisects the area of the hex (see figure) . Show that three diagonaks intersects at a common point . [hint: the area of a triangle of side of of length a , b and included angle "theta" is equal to 1/2ab sin "theta" 4) find three consecutive even integers with there product equal to 37*****2. 5) what is sin , cos and tan? 6)in question 4 , what does 37*****2 mean? |