简算 48的平方+26*24*8+52的平方48的平方+26*24*8+52的平方 (1-1/2²)(1-1/3²)(1-1/4²)······(1-1/99²)(1-1/100²) 注:第二题的平方是在分母上 现在就要啊·······快····
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/03 11:53:06
![简算 48的平方+26*24*8+52的平方48的平方+26*24*8+52的平方 (1-1/2²)(1-1/3²)(1-1/4²)······(1-1/99²)(1-1/100²) 注:第二题的平方是在分母上 现在就要啊·······快····](/uploads/image/z/54616-40-6.jpg?t=%E7%AE%80%E7%AE%97+48%E7%9A%84%E5%B9%B3%E6%96%B9%2B26%2A24%2A8%2B52%E7%9A%84%E5%B9%B3%E6%96%B948%E7%9A%84%E5%B9%B3%E6%96%B9%2B26%2A24%2A8%2B52%E7%9A%84%E5%B9%B3%E6%96%B9+%281-1%2F2%26%23178%3B%EF%BC%89%EF%BC%881-1%2F3%26%23178%3B%EF%BC%89%EF%BC%881-1%2F4%26%23178%3B%EF%BC%89%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%EF%BC%881-1%2F99%26%23178%3B%EF%BC%89%EF%BC%881-1%2F100%26%23178%3B%EF%BC%89+%E6%B3%A8%EF%BC%9A%E7%AC%AC%E4%BA%8C%E9%A2%98%E7%9A%84%E5%B9%B3%E6%96%B9%E6%98%AF%E5%9C%A8%E5%88%86%E6%AF%8D%E4%B8%8A+%E7%8E%B0%E5%9C%A8%E5%B0%B1%E8%A6%81%E5%95%8A%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%E5%BF%AB%C2%B7%C2%B7%C2%B7%C2%B7)
简算 48的平方+26*24*8+52的平方48的平方+26*24*8+52的平方 (1-1/2²)(1-1/3²)(1-1/4²)······(1-1/99²)(1-1/100²) 注:第二题的平方是在分母上 现在就要啊·······快····
简算 48的平方+26*24*8+52的平方
48的平方+26*24*8+52的平方 (1-1/2²)(1-1/3²)(1-1/4²)······(1-1/99²)(1-1/100²) 注:第二题的平方是在分母上 现在就要啊·······快·····
简算 48的平方+26*24*8+52的平方48的平方+26*24*8+52的平方 (1-1/2²)(1-1/3²)(1-1/4²)······(1-1/99²)(1-1/100²) 注:第二题的平方是在分母上 现在就要啊·······快····
48的平方+26*24*8+52的平方
=48²+2×48×52+52²
=(48+52)²
=100²
=10000
(1-1/2²)(1-1/3²)(1-1/4²)······(1-1/99²)(1-1/100²)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)……(1-1/100)(1+1/100)
=1/2× 3/2×2/3× 4/3×3/4× 5/4……×101/100
=1/2×101/100
=101/200
fffdddddddddddddddddddd
48的平方+26*24*8+52的平方
=48²+26*24*8+52²
=48²+52²+26*24*8
=52^2+48^2+26*24*8
=(50+2)^2+(50-2)^2+26*24*8
=50^2+2*50*2+2^2+50^2-2*50*2+2^2+26*24*8
=2*50^2+2*2^2+26*24*8
=5000+8+26*24*8
=5008+4992
=10000