观察下列勾股数:第一组:3=2×1+1,4=2×1×(1+1),5=2×1×(1+1)+1; 第二组:5=2×2+1,12=2×2×(2+1),13=2×2×(2+1)+1;第三组:7=2×3+1,24=2×3×(3+1),25=2×3×(3+1)+1;第四组:9=2×4+1,40=2×4×
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/25 07:18:47
![观察下列勾股数:第一组:3=2×1+1,4=2×1×(1+1),5=2×1×(1+1)+1; 第二组:5=2×2+1,12=2×2×(2+1),13=2×2×(2+1)+1;第三组:7=2×3+1,24=2×3×(3+1),25=2×3×(3+1)+1;第四组:9=2×4+1,40=2×4×](/uploads/image/z/204101-53-1.jpg?t=%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%88%97%E5%8B%BE%E8%82%A1%E6%95%B0%EF%BC%9A%E7%AC%AC%E4%B8%80%E7%BB%84%EF%BC%9A3%3D2%C3%971%EF%BC%8B1%2C4%3D2%C3%971%C3%97%EF%BC%881%2B1%EF%BC%89%2C5%3D2%C3%971%C3%97%EF%BC%881%2B1%EF%BC%89%2B1%EF%BC%9B+%E7%AC%AC%E4%BA%8C%E7%BB%84%EF%BC%9A5%3D2%C3%972%EF%BC%8B1%2C12%3D2%C3%972%C3%97%EF%BC%882%2B1%EF%BC%89%2C13%3D2%C3%972%C3%97%EF%BC%882%2B1%EF%BC%89%2B1%EF%BC%9B%E7%AC%AC%E4%B8%89%E7%BB%84%EF%BC%9A7%3D2%C3%973%EF%BC%8B1%2C24%3D2%C3%973%C3%97%EF%BC%883%2B1%EF%BC%89%2C25%3D2%C3%973%C3%97%EF%BC%883%2B1%EF%BC%89%2B1%EF%BC%9B%E7%AC%AC%E5%9B%9B%E7%BB%84%EF%BC%9A9%3D2%C3%974%EF%BC%8B1%2C40%3D2%C3%974%C3%97)
观察下列勾股数:第一组:3=2×1+1,4=2×1×(1+1),5=2×1×(1+1)+1; 第二组:5=2×2+1,12=2×2×(2+1),13=2×2×(2+1)+1;第三组:7=2×3+1,24=2×3×(3+1),25=2×3×(3+1)+1;第四组:9=2×4+1,40=2×4×
观察下列勾股数:第一组:3=2×1+1,4=2×1×(1+1),5=2×1×(1+1)+1; 第二组:5=2×2+1,
12=2×2×(2+1),13=2×2×(2+1)+1;
第三组:7=2×3+1,24=2×3×(3+1),25=2×3×(3+1)+1;
第四组:9=2×4+1,40=2×4×(4+1),41=2×4×(4+1)+1;
……
观察以上各组勾股数的组成特点,你能求出第七组的各应是多少吗?第n组呢?
观察下列勾股数:第一组:3=2×1+1,4=2×1×(1+1),5=2×1×(1+1)+1; 第二组:5=2×2+1,12=2×2×(2+1),13=2×2×(2+1)+1;第三组:7=2×3+1,24=2×3×(3+1),25=2×3×(3+1)+1;第四组:9=2×4+1,40=2×4×
2n+1 2n(n+1) 2n(n+1)+1
41=2*4*(4+1)+1 观察以上各组勾股数的组成特点,你能求出第七组第七组 15=2*7+1 112=2*7*(7+1) 113=2*7*(7+1)+1
第n组:2n+1=2×n+1 , 2×n×(n+1)=2×n×(n+1) , 2n(n+1)+1=2×n×(n+1)+1
第7组的话,就把n=7,分别代入上面三个式子就可以了。