对点(x,y)的一次操作变换记为P1(x,y),定义其变换法则如下:P1(x,y)=(x+y,x-y);且规定Pn(x,y)=P1[Pn-1(x,y)](n为大于1的整数).如P1(1,2)=(3,-1),P2(1,2)=P1[P1(1,2)]=P1(3,-1)=(2
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![对点(x,y)的一次操作变换记为P1(x,y),定义其变换法则如下:P1(x,y)=(x+y,x-y);且规定Pn(x,y)=P1[Pn-1(x,y)](n为大于1的整数).如P1(1,2)=(3,-1),P2(1,2)=P1[P1(1,2)]=P1(3,-1)=(2](/uploads/image/z/13558920-24-0.jpg?t=%E5%AF%B9%E7%82%B9%EF%BC%88x%2Cy%EF%BC%89%E7%9A%84%E4%B8%80%E6%AC%A1%E6%93%8D%E4%BD%9C%E5%8F%98%E6%8D%A2%E8%AE%B0%E4%B8%BAP1%EF%BC%88x%2Cy%EF%BC%89%2C%E5%AE%9A%E4%B9%89%E5%85%B6%E5%8F%98%E6%8D%A2%E6%B3%95%E5%88%99%E5%A6%82%E4%B8%8B%EF%BC%9AP1%EF%BC%88x%2Cy%EF%BC%89%3D%EF%BC%88x%2By%2Cx-y%EF%BC%89%EF%BC%9B%E4%B8%94%E8%A7%84%E5%AE%9APn%EF%BC%88x%2Cy%EF%BC%89%3DP1%5BPn-1%EF%BC%88x%2Cy%EF%BC%89%5D%EF%BC%88n%E4%B8%BA%E5%A4%A7%E4%BA%8E1%E7%9A%84%E6%95%B4%E6%95%B0%EF%BC%89%EF%BC%8E%E5%A6%82P1%EF%BC%881%2C2%EF%BC%89%3D%EF%BC%883%2C-1%EF%BC%89%2CP2%EF%BC%881%2C2%EF%BC%89%3DP1%5BP1%EF%BC%881%2C2%EF%BC%89%5D%3DP1%EF%BC%883%2C-1%EF%BC%89%3D%EF%BC%882)
对点(x,y)的一次操作变换记为P1(x,y),定义其变换法则如下:P1(x,y)=(x+y,x-y);且规定Pn(x,y)=P1[Pn-1(x,y)](n为大于1的整数).如P1(1,2)=(3,-1),P2(1,2)=P1[P1(1,2)]=P1(3,-1)=(2
对点(x,y)的一次操作变换记为P1(x,y),定义其变换法则如下:P1(x,y)=(x+y,x-y);且规定Pn(x,y)=P1[Pn-1(x,y)](n为大于1的整数).如P1(1,2)=(3,-1),P2(1,2)=P1[P1(1,2)]=P1(3,-1)=(2,4),P3(1,2)=P1[P2(1,2 )]=P1(2,4)=(6,-2).
(1)P1(1,-1)=( ,)
P2(1,-1)=P1[P1(1,-1)]=P1( ,)= ( ,),
P3(1,-1)=P1[P2(1,-1)=P1( ,)=( ,)
P4(1,-1)=P1[P3(1,-1)=P1( ,)=( ,)
(2)试根据(1)的规律求P5(1,-1),P6(1,-1),P2013(1,-1).
对点(x,y)的一次操作变换记为P1(x,y),定义其变换法则如下:P1(x,y)=(x+y,x-y);且规定Pn(x,y)=P1[Pn-1(x,y)](n为大于1的整数).如P1(1,2)=(3,-1),P2(1,2)=P1[P1(1,2)]=P1(3,-1)=(2
1.(0,2)
(0,2)(2,-2)
(2,-2)(0,4)
(0,4)(4,-4)
2.P5(0,8)
P6(8,-8)
P2013(0,2^1007)