有两点M(-1,0),N(1,0),点P(x,y)使
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309017_ST/0.png)
成公差小于零的等差数列;
1)求x,y满足的关系式;2)若P横坐标x
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309017_ST/1.png)
,记 θ为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309017_ST/2.png)
夹角,求tanθ值.
考点分析:
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已知函数f(x)=sin(x+θ)+cos(x+θ)的定义域为R
(1)当θ=0时,求f(x)的单调递减区间;
(2)若θ∈(0,π),当θ为何值时,f(x)为奇函数.
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用五点作图法作函数y=Asin(ωx+ф) (其中Α>0,ω>0)的图象时,假设所取五点依次为P
1、P
2、P
3、P
4、P
5;其对应横坐标分别为x
1、x
2、…x
5且f(x
1)=0,f(x
2)=A,试判断下列命题正确的是
-.
①x
1、x
2、…x
5依次成等差数列;
②若x
1=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309015_ST/0.png)
,则x
2=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309015_ST/1.png)
;
③f(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309015_ST/2.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309015_ST/3.png)
A;
④线段P
2P
4的长为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309015_ST/4.png)
.
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设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309014_ST/0.png)
是直角坐标系中x轴和y轴正方向的单位向量,设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309014_ST/1.png)
,且(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309014_ST/2.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309014_ST/3.png)
)⊥(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309014_ST/4.png)
-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309014_ST/5.png)
).则m=
.
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设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309013_ST/0.png)
表示向正西北走10km,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309013_ST/1.png)
表示向正东北走5km,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309013_ST/2.png)
表示向正东南走2km,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309013_ST/3.png)
+2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309013_ST/4.png)
+5
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101225226416830910/SYS201311012252264168309013_ST/5.png)
表示
.
查看答案
三角形的两边分别为3cm,5cm,其所夹角的余弦为方程5x
2-7x-6=0的根,则这个三角形的面积是
cm
2.
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