已知x∈R,m∈R,比较x2+x+1与-2m2+2mx的大小
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/18 23:29:37
已知x∈R,m∈R,比较x2+x+1与-2m2+2mx的大小
![已知x∈R,m∈R,比较x2+x+1与-2m2+2mx的大小](/uploads/image/z/20218088-56-8.jpg?t=%E5%B7%B2%E7%9F%A5x%E2%88%88R%2Cm%E2%88%88R%2C%E6%AF%94%E8%BE%83x2%2Bx%2B1%E4%B8%8E-2m2%2B2mx%E7%9A%84%E5%A4%A7%E5%B0%8F)
x²+x+1-(-2m2+2mx)
=x²+(1-2m)x+1+2m²
Δ=(1-2m)²-4(1+2m²)
=-4m²-4m-3
=-4(m²+m+1/4)-2
=-(m+1/2)²-2≤-2-2m2+2mx
=x²+(1-2m)x+1+2m²
Δ=(1-2m)²-4(1+2m²)
=-4m²-4m-3
=-4(m²+m+1/4)-2
=-(m+1/2)²-2≤-2-2m2+2mx
已知x,y∈R,比较x2+y2与2(2x-y)-5的大小
已知p:x∈A={x|x2-2x-3≤0,x∈R},q:x∈B={x|x2-2mx+m2-9≤0,x∈R,m∈R}.
已知集合A={x|x2-2x-3≤0,x∈R},B={x|x2-2mx+m2-4≤0,x∈R,m∈R}
已知集合A={x|x2-2x-3≤0,x∈R},B={x|x2-2mx+m2-4≤0,x∈R}
已知集合A={x|x2-2x-3≤0,x∈R},B={x|x2-2mx+m2-4≤0,x∈R}. (1)若A∩B=[1,
集合A={x|x2-2x-3≤0,x∈R}B={x|x2-2mx+m2-4≤0,x∈R,m∈R}.
已知x∈R,试比较x^6+1和x^4+x^2的大小
已知m∈R,直线l:mx-(m2+1)y=4m和圆C:x2+y2-8x+4y+16=0.
(已知m∈R,直线l:mx-(m2+1)y=4m和圆C:x2+y2-8x+4y+16=0
已知m∈R,直线l:mx-(m2+1)y= 4m和圆C:x2+y2-8x+4y+16=0.
比较x`6+1与x`4+x`2的大小(x∈R)要过程
设m∈R,a>b>1,f(x)=mx/(x-1),比较f(a)与f(b)的大小,求详解,谢谢~