17. 2tan60°-(1/√3)^(-1)-(x-1)^0+(-1)^2014
=2√3-√3-1+1
=√3
18. x<2, 2x+1≥3,2x≥2, x≥1. 1 ≤ x < 2
19.
(x²/2+2x+1)+(x²/2+4x+1)=x²+6x+2=(x-3+√7)(x-3-√7)
20.
在△ABC和△CDE中,∠ACD=∠B(已知),∠ACD=∠D(两线平行内错角相等),
∴∠D=∠B,
∠A=180°-(∠B+∠ACD),∠DCB=180°-(∠ACD+∠ACD)=180°-(∠B+∠ACD),
∴∠A=∠DCB,
∵∠D=∠B、∠A=∠DCB、AC=CE,∴△ABC≌△CDE(角边角)