Failed to resolve: support-core-

在顶层build.gradle文件中把google()放在第一位置.

repositories {
        google()
        jcenter()

        mavenCentral()
        maven {
            url 'https://maven.google.com'
        }
    }

allprojects {
    repositories {
        google()
        jcenter()
        maven { url "https://jitpack.io"
        }
    }
}

相关问题: https://stackoverflow.com/questions/49707835/android-studio-failed-to-resolve-support-core-utils

实测可用