(1+1/1999+1/2000)*(1/1999+1/2000+1/2001+1/2002)-(1+1/1999+1/2000+1/2001+1/2002)*(1/1999+1/2000+1/200
题目
(1+1/1999+1/2000)*(1/1999+1/2000+1/2001+1/2002)-(1+1/1999+1/2000+1/2001+1/2002)*(1/1999+1/2000+1/200
1) 用简便方法计算
1/2001)
答案
设1/1999+1/2000=a∴原式=(1+a)(a+1/2001+1/2002)-(1+a+1/2001+1/2002)(a+1/2001)=a+a²+1/2001+a/2001+1/2002+a/2002-a-a²-a/2001-a/2002-1/2001-a/2001-1/2001²-1/2001*2002=-1/2001²-1/2001*...
举一反三
已知函数f(x)=x,g(x)=alnx,a∈R.若曲线y=f(x)与曲线y=g(x)相交,且在交点处有相同的切线,求a的值和该切线方程.
我想写一篇关于奥巴马的演讲的文章,写哪一篇好呢?为什么好
最新试题
热门考点
- 一元二次不等式(a-1)x2-(a-1)x-1=0的解为一切实数,求a这道题咋做啊
- 好文章是( ),让人( )
- 问一道整式乘法题.急.
- 古代印度还出现过哪些重大的文明成果
- 凸透镜对光线的作用是( )
- 找规律填数,2,3,2,5,2,(),(),(),().
- 已知等比数列{an}满足a1=3,且4a1,2a2,a3成等差数列,则a3+a4+a5=( ) A.33 B.84 C.72 D.189
- 以ly 结尾的形容词有哪些?
- Gone with the Wind(《乱世佳人》)中tomorrow is another day是怎么理解?
- The place has changed a lot.The place has been quite ____ ____ before.