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【简答题】
已知一次函数y= +m(0<m≤1)的图象为直线l,直线l绕原点O旋转180°后得直线l′,△ABC三个顶点的坐标分别为A(- ,-1)、B( ,-1)、C(0,2)。 (1)直线AC的解析式为________,直线l′的解析式为________ (可以含m); (2)如图,l、l′分别与△ABC的两边交于E、F、G、H,当m在其范围内变化时,判断四边形EFGH中有哪些量不随m的变化而变化?并简要说明理由; (3)将(2)中四边形EFGH的面积记为S,试求m与S的关系式,并求S的变化范围; (4)若m=1,当△ABC分别沿直线y=x与y= x平移时,判断△ABC介于直线l,l′之间部分的面积是否改变?若不变请指出来,若改变请写出面积变化的范围。(不必说明理由)
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