题目

“I have cancer.”Mom said and held me in a tight hug.I could feel her chest shaking as she tried not to cry but failed.For all of my twenty-four years,my mom had been supportive.Strength and protection had always flowed from her to me.Now I knew it would have to flow the other way.Mom didn’t stay down for long.After the shock of breast-cancer,she armed herself with a notebook and a pen and a thousand questions for the doctors.She took notes on white blood cell counts and medications(药物)with long names as though she were studying for entrance exams into medical school.”The not-knowin已知函数f（x）=asinx+bcos（x-π3）的图象经过点（π3，12），（7π6，0）．（1）求实数a，b的值；（2）求函数f（x）在[0，π]上的单调递增区间．