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若抛物线y2=4x上一点P到其焦点的距离为3,则点P的横坐标等于 .
若抛物线y2=4x上一点P到其焦点的距离为3,则点P的横坐标等于 .
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命题“∀x∈R,则x
2+3≥2x”的否定是
.
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已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177019_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177019_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177019_ST/2.png)
,x∈[0,π].
(1)若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177019_ST/3.png)
,求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177019_ST/4.png)
及
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177019_ST/5.png)
;
(2)若k=1,当x为何值时,f(x)有最小值,最小值是多少?
(3)若f(x)的最大值为3,求k的值.
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已知函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177018_ST/0.png)
.
(1)若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177018_ST/1.png)
,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177018_ST/2.png)
时,求:函数f(x)的值;
(2)若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177018_ST/3.png)
时,求:函数f(x)的最大值与最小值;
(3)用“五点法”画出函数f(x)在[0,π]上的图象.
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如图,平面内有三个向量:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177017_ST/0.png)
、
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177017_ST/1.png)
、
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177017_ST/2.png)
,其中
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177017_ST/3.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177017_ST/4.png)
的夹角为30°,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177017_ST/5.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177017_ST/6.png)
的夹角为120°,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177017_ST/7.png)
,并且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177017_ST/8.png)
.求:m,n的值.
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已知tanα=2,求:(1)
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177016_ST/0.png)
的值; (2)
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101223300337817795/SYS201311012233003378177016_ST/1.png)
的值.
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