.如图,在直角坐标系xOy中,点A在第一象限,点B在x轴的正半轴上,

.如图,在直角坐标系xOy中,点A在第一象限,点Bx轴的正半轴上,△AOB为正三角形,射线OC⊥AB,在OC上依次截取点P1P2P3Pn,使OP1=1P1P2=3P2P3=5Pn1Pn=2n1n为正整数),分别过点P1P2P3Pn向射线OA作垂线段,垂足分别为点Q1Q2Q3Qn,则点Qn的坐标为  

答案

n2n2    解:∵△AOB为正三角形,射线OC⊥AB

∴∠AOC=30°

∵Pn1Pn=2n1PnQn⊥OA

∴OQn=OP1+P1P2+P2P3+…+Pn1Pn=1+3+5+…+2n1=n2

∴Qn的坐标为(n2•cos60°n2•sin60°),

∴Qn的坐标为(n2n2).

相关题目

The radio is________ a strange signal. What’s wrong with it? A. giving up B.
The radio is________ a strange signal. What’s wrong with it? A. giving up B. giving in C. giving out D. giving away
下列哪项是多项式x4+x3+x2的因式分解的结果(     ) A、 x2
下列哪项是多项式x4+x3+x2的因式分解的结果(     ) A、 x2( x2+x)        B、 x(x3+x2+x)     C、 x3(x+1)+x2       D、 x2(x2+x+1)
 --- When did _____ accident happen? --- Let me see. It was on ______ very hot
 --- When did _____ accident happen? --- Let me see. It was on ______ very hot afternoon in August.  A. the; the              B. an; /               C. the; a       
As every computer owner knows, when their machines run a complex program they g
As every computer owner knows, when their machines run a complex program they get pretty hot. In fact, cooling the processors can be expensive, especially when you're dealing with huge banks of com
目前,世界人口增长模式是 A.现代人口增长模式        
目前,世界人口增长模式是 A.现代人口增长模式                   B.过渡人口增长模式    C.传统人口增长模式                 
下列属于我国内海的是(     ) A.黄海、渤海     B.东
下列属于我国内海的是(     ) A.黄海、渤海     B.东海、台湾海峡 C.南海、渤海     D.渤海、琼州海峡
We don’t plan to cry, but it just happens. In fact, when we feel sad or angry,
We don’t plan to cry, but it just happens. In fact, when we feel sad or angry, we may possibly have a good cry. But if you didn’t know what crying was, you’d have to wonder why some strong feeli
两个烧杯中分别盛装X、Y的饱和溶液,两只试管中分别装有NaO
两个烧杯中分别盛装X、Y的饱和溶液,两只试管中分别装有NaOH和NH4NO3固体,向两只试管中分别滴加适量水,现象如图一所示,结合图二判断下列说法正

最新题目