观察下列等式2²-1²=3=1×3,4²-1²=15=3×52²-1²=3=1×34²-1²=15=3×56²-1²=35=5×78²-1²=63=7×9……你能用含正整数n的等式表示出你所发现的规律吗?
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/01 09:56:58
![观察下列等式2²-1²=3=1×3,4²-1²=15=3×52²-1²=3=1×34²-1²=15=3×56²-1²=35=5×78²-1²=63=7×9……你能用含正整数n的等式表示出你所发现的规律吗?](/uploads/image/z/1142634-66-4.jpg?t=%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%88%97%E7%AD%89%E5%BC%8F2%26%23178%3B-1%26%23178%3B%3D3%3D1%C3%973%2C4%26%23178%3B-1%26%23178%3B%3D15%3D3%C3%9752%26%23178%3B-1%26%23178%3B%3D3%3D1%C3%9734%26%23178%3B-1%26%23178%3B%3D15%3D3%C3%9756%26%23178%3B-1%26%23178%3B%3D35%3D5%C3%9778%26%23178%3B-1%26%23178%3B%3D63%3D7%C3%979%E2%80%A6%E2%80%A6%E4%BD%A0%E8%83%BD%E7%94%A8%E5%90%AB%E6%AD%A3%E6%95%B4%E6%95%B0n%E7%9A%84%E7%AD%89%E5%BC%8F%E8%A1%A8%E7%A4%BA%E5%87%BA%E4%BD%A0%E6%89%80%E5%8F%91%E7%8E%B0%E7%9A%84%E8%A7%84%E5%BE%8B%E5%90%97%3F)
x){Ovt?|m=Fjʆֺtc4aCS[Mơ]hfƶ懧[>jXDO.xѼO'~v[Mݐ|Vĵ/xd]@u:O|(by}O'LI*ҧ؛`CkKӆ`9^AfRv6#&54t
m]CM mi_\g
0(,PRAO;i0҂g66$1@. [S
观察下列等式2²-1²=3=1×3,4²-1²=15=3×52²-1²=3=1×34²-1²=15=3×56²-1²=35=5×78²-1²=63=7×9……你能用含正整数n的等式表示出你所发现的规律吗?
观察下列等式2²-1²=3=1×3,4²-1²=15=3×5
2²-1²=3=1×3
4²-1²=15=3×5
6²-1²=35=5×7
8²-1²=63=7×9
……
你能用含正整数n的等式表示出你所发现的规律吗?
观察下列等式2²-1²=3=1×3,4²-1²=15=3×52²-1²=3=1×34²-1²=15=3×56²-1²=35=5×78²-1²=63=7×9……你能用含正整数n的等式表示出你所发现的规律吗?
(2n)^2-1=(2n-1)(2n+1)
2n^2-1^2=(2n-1)*(2n+1) ,给分...
(2*n)^2-1^2=4n^2-1=n(2*n-1)*(2*n+1)