求下列曲线弧的长度:曲线 [tex=3.857x2.571]T+kXiQMYejECRthsCpP6/qDOIPO0wFJfD+87kKsTkJg=[/tex]上弧长从顶点到点[tex=3.643x1.571]oveHxgXGg57GXbvaXxSL6OUxPKNInLNgetH+mBBSZgs=[/tex]
举一反三
- 求下列曲线的弧长: 抛物线[tex=3.286x1.429]hbj3KfXf13DogneFAoYE5g==[/tex]从顶点到该曲线上的一点 [tex=3.286x1.357]Muwjr4G+q7cJWSQhk4GPHA==[/tex] 的弧;
- 求曲线的弧长.曲线[tex=5.5x1.357]gxfw7tOj0w38dq8L14sa6ulCfgJj9HO3vzCIxGXsi4I=[/tex]在[tex=4.571x2.143]NTKJxb4sPu53TmmNfb9Bb7KagJa1IRN9dK720YTJ9bWgXFkrQht4Q9AHw/D5Ol2q[/tex]段的弧
- 把对坐标的曲线积分[tex=5.071x2.214]S3T7aw2EkJGuQitaozRUnl4O7OCS098oQkUFuI40Lv4=[/tex][tex=3.0x1.286]/fFxW1CvOqgEw62SnVdMhw==[/tex]化为对弧长的曲线积分，其中[tex=0.714x1.286]LA74ioWWkXdGbHCtFk/Sog==[/tex]为抛物线[tex=2.786x1.286]Xv1ex0v791LL5e/JRFQi6g==[/tex]上从点[tex=2.143x1.286]q8d9ecMZwZI3gbdeOe+7AA==[/tex]到点[tex=2.143x1.286]v2wxUhEHgcEtjazZG/KOoQ==[/tex]的曲线弧 .
- 把对坐标的曲线积分[tex=10.643x2.214]9z1358KA5QP7tyaprc1EdLNNuPWI0qiFfm0+gUgtozoXvj0QPdrt7DdKSLkYZDMtcZ2pvAHI2MOzVjA2bMCuMA==[/tex]化为对弧长的曲线积分，其中[tex=0.714x1.286]LA74ioWWkXdGbHCtFk/Sog==[/tex]分别如下：抛物线[tex=2.786x1.286]Xv1ex0v791LL5e/JRFQi6g==[/tex]上从点[tex=2.143x1.286]q8d9ecMZwZI3gbdeOe+7AA==[/tex]到点[tex=2.143x1.286]DpApS+K1UuKZIBLcuow/Cg==[/tex]的曲线弧．
- 求下列曲线的弧长：[tex=8.071x1.357]I7l0hwmerzf8zw6cf4VFh1V4wTNsnKCoIYuxz1xDBOQ=[/tex][tex=7.714x1.357]JTjoyJcUR3X3frd+7MTCzq+5joCDSBXKiC99cwYwQiQ=[/tex][tex=7.071x1.357]+lBIBwd11HHcTThM9EAV5uftVpktESPfJiBI51qv8pU=[/tex].