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经过点A(-2,π/4),垂直于极轴的直线,求极坐标方程
人气:305 ℃ 时间:2020-06-28 00:32:06
解答
令cosa=2√5/5,sina=√5/5
=4sinxcosx+sin^2x-cos^2x
=2sin2x-cos2x
=√5(2√5/5sin2x-√5/5cos2x)
=√5(sin2xcosa-cos2xsina)
=√5sin(2x-a)
4sinxcosx+sin^2x-cos^2x 最大值为:√5
S=1/2*absinC
4=1/2*4*2√2*sinC
sinC=√2/2
C=135°或C=45°
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