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选修4-5:不等式选讲(Ⅰ)已知x,y都是正实数,求证:x3+y3≥x2y+xy2;(Ⅱ)...
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选修4-5:不等式选讲
(Ⅰ)已知x,y都是正实数,求证:x
3+y
3≥x
2y+xy
2;
(Ⅱ)已知a,b,c都是正实数,求证:
.
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选修4-5:不等式选讲
(Ⅰ)已知x,y都是正实数,求证:x3+y3≥x2y+xy2;
(Ⅱ)已知a,b,c都是正实数,求证:.
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选修4-5:不等式选讲
(Ⅰ)已知x,y都是正实数,求证:x3+y3≥x2y+xy2;
(Ⅱ)已知a,b,c都是正实数,求证:.
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选修4-5:不等式选讲
已知函数x>0,y>0,z>0,求证:
(Ⅰ)x3+y3≥x2y+xy2;
(Ⅱ)x3+y3+z3≥x2•+y2•+z2•.
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证明:
(1)已知x,y都是正实数,求证:x3+y3≥x2y+xy2,
(2)已知a,b,c∈R+,且a+b+c=1,求证:.
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证明:
(1)已知x,y都是正实数,求证:x3+y3≥x2y+xy2,
(2)已知a,b,c∈R+,且a+b+c=1,求证:.
-
证明:
(1)已知x,y都是正实数,求证:x3+y3≥x2y+xy2,
(2)已知a,b,c∈R+,且a+b+c=1,求证:.
-
证明:
(1)已知x,y都是正实数,求证:x3+y3≥x2y+xy2,
(2)已知a,b,c∈R+,且a+b+c=1,求证:.
-
证明:
(1)已知x,y都是正实数,求证:x3+y3≥x2y+xy2,
(2)已知a,b,c∈R+,且a+b+c=1,求证:.
-
证明:
(1)已知x,y都是正实数,求证:x3+y3≥x2y+xy2,
(2)已知a,b,c∈R+,且a+b+c=1,求证:.
-
证明:
(1)已知x,y都是正实数,求证:x3+y3≥x2y+xy2,
(2)已知a,b,c∈R+,且a+b+c=1,求证:.