x,y为实数,且x²+(y²/2)+4≤xy+2y,则x,y的值分别等于?x,y为实数,且x²+(y²/2)+4≤xy+2y,则x,y的值分别等于?
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/10 06:16:30
![x,y为实数,且x²+(y²/2)+4≤xy+2y,则x,y的值分别等于?x,y为实数,且x²+(y²/2)+4≤xy+2y,则x,y的值分别等于?](/uploads/image/z/976102-70-2.jpg?t=x%2Cy%E4%B8%BA%E5%AE%9E%E6%95%B0%2C%E4%B8%94x%26%23178%3B%2B%EF%BC%88y%26%23178%3B%2F2%EF%BC%89%2B4%E2%89%A4xy%2B2y%2C%E5%88%99x%2Cy%E7%9A%84%E5%80%BC%E5%88%86%E5%88%AB%E7%AD%89%E4%BA%8E%3Fx%2Cy%E4%B8%BA%E5%AE%9E%E6%95%B0%2C%E4%B8%94x%26%23178%3B%2B%EF%BC%88y%26%23178%3B%2F2%EF%BC%89%2B4%E2%89%A4xy%2B2y%2C%E5%88%99x%2Cy%E7%9A%84%E5%80%BC%E5%88%86%E5%88%AB%E7%AD%89%E4%BA%8E%3F)
x)Щ|cuMݠdǔ
5eCsk{:*!L}{:Mu.6y1
{v=X|m]}T4&HNyv6;ǯJRר (U
,,45P@m&p iKJM]PTQV;g9
Eq\\-DDF 1w6`qgڋ!a0ğϦj $A
xdR<1!g
MH /
x,y为实数,且x²+(y²/2)+4≤xy+2y,则x,y的值分别等于?x,y为实数,且x²+(y²/2)+4≤xy+2y,则x,y的值分别等于?
x,y为实数,且x²+(y²/2)+4≤xy+2y,则x,y的值分别等于?
x,y为实数,且x²+(y²/2)+4≤xy+2y,则x,y的值分别等于?
x,y为实数,且x²+(y²/2)+4≤xy+2y,则x,y的值分别等于?x,y为实数,且x²+(y²/2)+4≤xy+2y,则x,y的值分别等于?
x²+(y²/2)+4≤xy+2y
x²+(y²/2)+4-xy-2y≤0
(x²-xy+¼y²)+(¼y²-2y+4)≤0
(x-½y)²+(½y-2)²≤0
∵(x-½y﹚²≥0,﹙½y-2﹚²≥0
∴x-½y=0,½y-2=0
y=4,x=2
x²+(y²/2)+4≤xy+2y
化解
(x—2分之y)的平方≤—(2分之y—2)的平方
所以(x—2分之y)的平方=(2分之y—2)的平方=0
x=2 y=4
。