求丨x+100丨+丨x+99丨+⋯+丨x+1丨+丨x丨+丨x-1丨+⋯+丨x-99丨的最小值,怎
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/25 05:17:32
![求丨x+100丨+丨x+99丨+⋯+丨x+1丨+丨x丨+丨x-1丨+⋯+丨x-99丨的最小值,怎](/uploads/image/z/4324599-63-9.jpg?t=%E6%B1%82%E4%B8%A8x%2B100%E4%B8%A8%2B%E4%B8%A8x%2B99%E4%B8%A8%EF%BC%8B%26%238943%3B%2B%E4%B8%A8x%2B1%E4%B8%A8%2B%E4%B8%A8x%E4%B8%A8%2B%E4%B8%A8x-1%E4%B8%A8%2B%26%238943%3B%EF%BC%8B%E4%B8%A8x-99%E4%B8%A8%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%2C%E6%80%8E)
求丨x+100丨+丨x+99丨+⋯+丨x+1丨+丨x丨+丨x-1丨+⋯+丨x-99丨的最小值,怎
求丨x+100丨+丨x+99丨+⋯+丨x+1丨+丨x丨+丨x-1丨+⋯+丨x-99丨的最小值,怎
求丨x+100丨+丨x+99丨+⋯+丨x+1丨+丨x丨+丨x-1丨+⋯+丨x-99丨的最小值,怎
当x=0时,取值最小,可以借助坐标轴来理解,x坐标轴上任意一点到-99,-98,-97……0,1,2……99,100这两百个点距离最短的和.是坐标原点所以最小值是(1+99)×99+100=10000