题目

阅读理解 The new study shows that we spend more timeusing the mobile Internet to read newspapers and magazines or do some otherthings. According to the Interactive Advertising Bureau (IAB), the average European spends4.8 hours reading newspapers and magazines but 1.6 hours more using the mobileInternet per week. The IAB questioned 15,000 people in 15 Europeancountries, looking at how people were using the Internet and its influence ontheir everyday lives. It found that the mobile Internet is increasingly findingits way into the public awareness. Over 71 million Europeans now have Interneta已知函数f（x）=ex+ax+b（a≠0，b≠0）．（1）若函数f（x）的图象在点（0，f（0））处的切线方程为y=2，求f（x）在区间[﹣2，1]上的最值；（2）若a=﹣b，试讨论函数f（x）在区间（1，+∞）上零点的个数．