π是什么公式算出来的 计算:①|?2|?(2?π)0+(13)?1+(?2)3②(-3a3)2?a3+(-4a)2?a7+(-5a3)3;③(2m+3n)2(3n-2m)2;
计算:①|?2|?(2?π)0+(13)?1+(?2)3②(-3a3)2?a3+(-4a)2?a7+(-5a3)3;③(2m+3n)2(3n-2m)2;
计算:①|?2|?(2?π)0+(13)?1+(?2)3②(-3a3)2?a3+(-4a)2?a7+(-5a3)3;③(2m+3n)2(3n-2m)2;
①原式=2-1+3-8
=-4;
②原式=9a6?a3+16a2?a7-125a9
=9a9+16a9-125a9
=-100a9;
③原式=[(2m+3n)(3n-2m)]2
=(9n2-m2)2
=81n4-72m2n2+16m4;
④原式=
1 4x2-xy+y2-
1 4(x2-y2)
=
x2-xy+y2-
1 4x2+
1 4y2
=-xy+
y2.
观察下面各式规律:12+(1×2)2+22=(1×2+1)2;22+(2×3)2+32=(2×3+1)2;32+(3×4)2+42=(3×4
第n个式子:n2+[n(n+1)]2+(n+1)2=[n(n+1)+1]2,
证明:因为左边=n2+[n(n+1)]2+(n+1)2,
=n2+(n2+n)2+(n+1)2,
=(n2+n)2+2n2+2n+1,
=(n2+n)2+2(n2+n)+1,
=(n2+n+1)2,
而右边=(n2+n+1)2,
所以,左边=右边,等式成立.
已知a>b>0,且a^2+b^2=3ab,求a^2+2ab+b^2/a-2b除以a^2-b^2/a-2b的值
∵a^2+b^2=3ab
∴a²+2ab+b²=5ab,a²-2ab+b²=ab
(a+b)²=5ab, (a-b)²=ab
a+b=√(5ab), a-b=√(ab) (∵a>b>0)
a^2+2ab+b^2/a-2b除以a^2-b^2/a-2b
=(a+b)²/[(a+b)(a-b)]
=(a+b)/(a-b)
=√(5ab)/√(ab)
=√5
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已知2FeCl 3 + 2KI = 2FeCl 2 + 2KCl + I 2 ,H 2 S + I 2 =" 2HI" + S,下列叙述正确的是( ) A
A 根据氧化性:氧化剂>氧化产物,还原性:还原剂>还原产物可推得。氧化性:Fe 3+ >I 2 >S;而还原性:Fe 2+ <I - <H 2 S给出下列算式:3 2 -1 2 =8=8×1,5 2 -3 2 =16=8×2,7 2 -5 2 =24=8×3,9 2 -7 2 =32=8×4…观察上面
根据分析可得:(2n+1) 2 -(2n-1) 2 =8×n.初一数学题:x^4+x^3+3x^2+2x+2,x^2+3ax-10a^2-x+2a,4x^2-y^2+2y-1
x^4 + x^3 + 3 x^2 + 2 x + 2 = (2 + x^2) (1 + x + x^2)
x^2 + 3 a x - 10 a^2 - x + 2 a = -(2 a - x) (-1 + 5 a + x)

4 x^2 - y^2 + 2 y - 1 = (1 + 2 x - y) (-1 + 2 x + y)
x^4 + x^3 + 3x^2 + 2x+2 = (2 + x^2) (1 + x + x^2)
x^2 + 3 a x - 10 a^2 - x + 2 a = -(2 a - x) (-1 + 5 a + x)
4 x^2 - y^2 + 2 y - 1 = (1 + 2 x - y) (-1 + 2 x + y)
已知|x+2|+2(y-1/2)^2=0.求代数式3y^2-6x^2y-4y^2+2x^2y的值
解:∵|x+2|≥0,(y-1/2)^2≥0,且|x+2|+2(y-1/2)^2=0
∴x+2=0,y-1/2=0 ==>x=-2,y=1/2
故3y^2-6x^2y-4y^2+2x^2y=-4x^2y-y^2
=-4(-2)^2*(1/2)-(1/2)^2
=8-1/4
=31/4。
因式分解:(1)(2x+y)2+2y(2x+y)+y2;(2)2ax5-8ax;(3)(3x+y)2-(x+3y)2
(1)(2x+y)2+2y(2x+y)+y2
=(2x+y+y)2
=4(x+y)2;
(2)2ax5-8ax
=2ax(x4-4)
=2ax(x2+2)(x2-2);
(3)(3x+y)2-(x+3y)2.
=(3x+y+x+3y)(3x+y-x-3y)
=(4x+4y)(2x-2y)
=8(x+y)(x-y).
若a,b,c是三角形ABC的三边,且满足2a^2+2b^2+2c^2-2ab-2ac-2bc=0,试说明A=B=C
2a^2+2b^2+2c^2-2ab-2ac-2bc=(a^2-2ab+b^2)+(b^2-2bc+c^2)+(a^2-2ac+c^2)=(a-b)^2+(b-c)^2+(a-c)^2=0
所以a-b=b-c=a-c=0 a=b=c
三角形是等边三角形 所以A=B=C
化简:2x-2分之1)-(x-1)。(a²+2a)-2(2分之1a²+4a)。(t²-3t+2)+2(2-2t)急
(1)(2x-1/2)-(x-1) =2x-1/2-x+1=x+1/2 (2)=10a (3)=t^2-7t+6 =(t-7/2)^2-25/4