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電子課本網(wǎng) 第117頁(yè)

第117頁(yè)

信息發(fā)布者:
$?-\frac {3}{2}?$
$?-\frac {1}{3}?$
2
$解:?(2)?把?x=k?代入?y=-x-1,?得?y=-k-1,?$
$則?A_1?的坐標(biāo)是?(k,??-k-1);?$
$把?x=k?代入?y=\frac {1}{x}?得:?y=\frac {1}{k},?$
$則?B_1?的坐標(biāo)是?(k,??\frac {1}{k});?$
$把?y=\frac {1}{k}?代入?y=-x-1?得:?\frac {1}{k}=-x-1?$
$解得:?x=-\frac {k+1}{k},?即?A_2?的坐標(biāo)是?(-\frac {k+1}{k},??\frac {1}{k});?$
$把?x=-\frac {k+1}{k}?代入?y=\frac {1}{x}?得:?y=-\frac {k}{k+1}?$
$則?B_2?的坐標(biāo)是?(-\frac {k+1}{k},??-\frac {k}{k+1})?$
$把?y=-\frac {k}{k+1}?代入?y=-x-1,?得:?x=-\frac {1}{k+1}?$
$即?A_3?的坐標(biāo)是?(-\frac {1}{k+1},??-\frac {k}{k+1});?$
$把?x=-\frac {1}{k+1}?代入?y=\frac {1}{x}?得:?y=-k-1?$
$則?B_3?的坐標(biāo)是?(-\frac {1}{k+1},??-k-1)?$
$把?y=k+1?代入?y=-x-1?得?x=k,?則?A_4?的坐標(biāo)是?(k,??-k-1),?即?A_1?$
$則點(diǎn)?A_{n}?的橫坐標(biāo)分別是:?k,??-\frac {k+1}{k},??-\frac {1}{k+1},?···三個(gè)循環(huán)一次$