看板 Math 關於我們 聯絡資訊
※ 引述《pml0415 (拼命)》之銘言: : 團體賽 : http://ppt.cc/R4BR 6. let g(x)=kx^2+ax+b f(x)=x^2+cx+d then f(g(x))=(kx^2+ax+b)^2+ c(kx^2+cx+d)+ d =k^2x^4+2akx^3+... So, 3+1+4+p = -2a/k, ie. p=-2a/k-8. note that two of {g(3),g(1),g(4)} have to be equal. hence, by the symmetry of quadratic functions, max{-a/k}=3+4=7 max{p}=14-8=6. : 思考賽 : http://ppt.cc/NHoQ : http://ppt.cc/pRK6 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 64.134.235.119