1/x(x+2)+1/x(x+2)(x+4)+1/(x+4)(x+6)+……1(x+2004)(x+2006)

1/x(x+2)+1/x(x+2)(x+4)+1/(x+4)(x+6)+……1(x+2004)(x+2006)


第二個多了個X吧?
原式=[1/x-1/(x+2)]/2+[1/(x+2)-1/(x+4)]/2+…+[1/(x+2004)-1/(x+2006)]/2
=[1/x-1/(x+2006)]/2
=2005/2x(x+2006)



計算1/2*4+1/4*6+1/6*8+.+1/2002*2004+1/2004*2006


1/2*4+1/4*6+1/6*8+.+1/2002*2004+1/2004*2006
=(1/2-1/4+1/4-1/6+1/6-1/8+……+1/2002-1/2004+1/2004-1/2006)÷2
=(1/2-1/2006)÷2
=501/2006



若x大於等於2,則x^2+4x+4>=0
是真命題嗎?它的你否命題是真命題嗎?


x^2+4x+4=(x+2)^2>=0
若x大於等於2,則x^2+4x+4>=0是真命題
它的你否命題是x^2+4x+4



√8/27怎麼化簡把過程寫出來謝謝,(√是根號).


√8/27=√2/3*√4/9==2/3*√2/3=2/3*√2*3/3.3=2/9√6



二次函數中如何確定abc的正負號


a的正負號看曲線的開口開口向上a>0開口向下a0
對稱軸小於0 -b/2a0如果交點在x軸之下c



簡便運算:1.2345+2.3451+3.4512+4.5123+5.1234=


1.2345+2.3451+3.4512+4.5123+5.1234
=1+2+3+4+5+0.1+0.2+0.3+0.4+0.5++0.01+0.02+0.03+0.04+0.05+0.001+0.002+0.003+0.004+0.005+0.0001+0.0002+0.0003+0.0004+0.0005
=10+1+0.1+0.01+0.001
=11.111



已知集合M={-1,1},N={x/(1/2)<2的(x+1)次方<4,x∈Z},則M∩N


(1/2)<2的(x+1)次方<4即:2^(-1)



-36*a*a*x+24abc-4*b*b*x


應該是這樣的吧?
-36*a*a*x+24abx-4*b*b*x
=-4x(9a^2-6ab+b^2)
=-4x(3a-b)^2



將多項式x^4+4y^4分解因式;


x^4+4y^4
=x^4+4y^4+4x^2y^2-4x^2y^2
=(x²;+2y²;)²;-4x²;y²;
=(x²;+2y²;-2xy)(x²;+2y²;+2xy)



2/3x=80-x-10-5,


2/3x=80-x-10-5
2/3x+x=65
5/3x=65
x=39