这道题怎么做?要过程。最后答案是1⼀2a눀和1⼀2

2024-12-02 19:24:51
推荐回答(1个)
回答1:

设AD与BF交点为H,AH∥GF,AH/FG=BA/BG→AH=BA*FG/BG=a*b/(a+b)→DH=AD-AH=a-a*b/(a+b),S△DBF=S△DFH+S△DBH=1/2EF*DH+1/2AB*DH=1/2DH*(EF+AB)=1/2*[a-a*b/(a+b)]*(a+b)=1/2a^2
当a=1,b=3/2时,S△DBF=1/2*(1)^2=1/2