如图，在平面直角坐标系中，一动点从原点O出发，沿着箭头所示方向，每次移动1个单位，依次得到点P₁（0，1），P₂（1，1），P₃（1，0），P₄（1，﹣1），P₅（2，﹣1），P₆（2，0），…，则点P₆₀的坐标是____．

    There are lots of animals on the earth. What is the biggest animal of all? The whale (鲸) is. A blue whale weighs more than a hundred tons(吨). Whales live in the sea, but they are not fish. They are mammals(哺乳动物) and must have air to breathe(呼吸). The babies drink milk from the mother's body. Every spring, groups of whales swim hundreds of kilometers to warm places.

    Each group goes to the same place every year. The mothers take very good care of their babies. Whales are a gentle kind of giant(温顺的庞然大物). They always live together and help each other. They “talk” to each other in the water with high noise that sounds like singing.

    Yet people kill over a hundred whales a day. They kill them to make many things. The whale dies very slowly an in great pain(疼痛). Some ships kill every whale they can find, even mother whales and babies. If things go on like this, there will be no young whales growing up and no mother whales having more young whales (产下幼仔).

已知函数f（x）=|x﹣1|+|x+1|．

（1）求不等式f（x）≥3的解集；

（2）若关于x的不等式f（x）＞a²﹣x²+2x在R上恒成立，求实数a的取值范围．