在直角坐标系中,以原点为极点,x轴的正半轴为极轴建坐标系,已知曲线C:ρsin
2θ=2acosθ(a>0),已知过点P(-2,-4)的直线L的参数方程为:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100614531682099/SYS201311031006145316820022_ST/0.png)
,直线L与曲线C分别交于M,N.
(Ⅰ)写出曲线C和直线L的普通方程;
(Ⅱ)若|PM|,|MN|,|PN|成等比数列,求a的值.
考点分析:
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+lnx-1(a是常数,e=2.71828).
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已知f(x)=x+asinx.
(Ⅰ) 若a=2,求f(x)在[0,π]上的单调递减区间;
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数列{a
n}中,a
1=2,a
n+1=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100614531682099/SYS201311031006145316820018_ST/0.png)
a
n(n∈N
*).
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n=
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n}的前n项和S
n.
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已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100614531682099/SYS201311031006145316820017_ST/0.png)
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=(2,1),点Q为直线OP上一动点.
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