方程|x2-2x|=a2+1(a>0)的解的个数是( ). A.1 B.2 C.3 D.4 答案:B解析 (数形结合法)∵a>0,∴a2+1>1.而y=|x2-2x|的图象如图,∴y=|x2-2x|的图象与y=a2+1的图象总有两个交点.∴方程有两解.--You're always studying hard!-- Because I want to get good grades and I don't want to______ my parents.A. surprise B. disappoint C. praise D. suppose