已知abcd为实数,M=4(a-b)(c-d)N=(a-b)(c-b) (d-a)(c-b) (c-d)(c-b) (a-b)(a-d),比已知a,b,c,d∈R,M=4(a-b)(c-d),N=(a-b)(c-b)+(d-a)(d-c)+(c-d)(c-b)+(a-b)(a-d),则比较大小M________N.
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![已知abcd为实数,M=4(a-b)(c-d)N=(a-b)(c-b) (d-a)(c-b) (c-d)(c-b) (a-b)(a-d),比已知a,b,c,d∈R,M=4(a-b)(c-d),N=(a-b)(c-b)+(d-a)(d-c)+(c-d)(c-b)+(a-b)(a-d),则比较大小M________N.](/uploads/image/z/2804870-38-0.jpg?t=%E5%B7%B2%E7%9F%A5abcd%E4%B8%BA%E5%AE%9E%E6%95%B0%2CM%3D4%28a-b%29%28c-d%29N%3D%28a-b%29%28c-b%29+%28d-a%29%28c-b%29+%28c-d%29%28c-b%29+%28a-b%29%28a-d%29%2C%E6%AF%94%E5%B7%B2%E7%9F%A5a%2Cb%2Cc%2Cd%E2%88%88R%2CM%3D4%28a-b%29%28c-d%29%2CN%3D%28a-b%29%28c-b%29%2B%28d-a%29%28d-c%29%2B%28c-d%29%28c-b%29%2B%28a-b%29%28a-d%29%2C%E5%88%99%E6%AF%94%E8%BE%83%E5%A4%A7%E5%B0%8FM________N.)
已知abcd为实数,M=4(a-b)(c-d)N=(a-b)(c-b) (d-a)(c-b) (c-d)(c-b) (a-b)(a-d),比已知a,b,c,d∈R,M=4(a-b)(c-d),N=(a-b)(c-b)+(d-a)(d-c)+(c-d)(c-b)+(a-b)(a-d),则比较大小M________N.
已知abcd为实数,M=4(a-b)(c-d)N=(a-b)(c-b) (d-a)(c-b) (c-d)(c-b) (a-b)(a-d),比
已知
a,b,c,d∈R,
M=4(a-b)(c-d),N=(a-b)(c-b)+(d-a)(d-c)+(c-d)(c-b)+(a-b)(a-d),则比较大小M________N.
已知abcd为实数,M=4(a-b)(c-d)N=(a-b)(c-b) (d-a)(c-b) (c-d)(c-b) (a-b)(a-d),比已知a,b,c,d∈R,M=4(a-b)(c-d),N=(a-b)(c-b)+(d-a)(d-c)+(c-d)(c-b)+(a-b)(a-d),则比较大小M________N.
已知a,b,c,d∈R,M=4(a-b)(c-d),N=(a-b)(c-b)+(d-a)(d-c)+(c-d)(c-b)+(a-b)(a-d),则比较大小:M________N.
N=(a-b)(c-b)+(d-a)(d-c)+(c-d)(c-b)+(a-b)(a-d)=(a-b)(c-b+a-d)+(c-d)(c-b+a-d)=
(c-b+a-d)(a-b+c-d)=(a+c-b-d)^2=(a-b+c-d)^2=(a-b)^2+2(a-b)(c-d)+(c-d)^2
N-M=(a-b)^2+2(a-b)(c-d)+(c-d)^2-4(a-b)(c-d)=[(a-b)-(c-d)]^2≥0 M≤N