题目

若角α的终边与直线y=3x重合且sinα<0,又P(m,n)是α终边上一点,且|OP|=,则m-n等于(    )A.2                B.-2              C.4                 D.-4 答案:解析:因为sinα<0,所以角α的终边在第三或第四象限或y轴的非正半轴上.而y=3x经过原点在第一象限和第三象限内,且角α的终边与y=3x重合,所以角α的终边在第三象限,可得m<0,n<0.又因为P(m,n)在直线y=3x上,所以满足n=3m.同时|OP|=,可得m2+n2=10,即解得或所以m-n=-1-(-3)=2.答案:AEvery great culture in the past had its own ideas of beauty     in art and literature. A. expressed              B. to express    C. being expressed           D. to be expressed  
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