设[img=15x19]1803d683d15e6df.png[/img]为[img=33x23]1803d683d97ad8a.png[/img]面上的单连通区域,函数[img=114x25]1803d683e17c5b6.png[/img]在[img=15x19]1803d683d15e6df.png[/img]内具有一阶的连续偏导数,则曲线积分[img=191x48]1803d683f3a13cb.png[/img]在[img=15x19]1803d683d15e6df.png[/img]内与路径无关的充分必要条件是在[img=15x19]1803d683d15e6df.png[/img]内恒有( ).
A: [img=100x47]1803d6840e43ddf.png[/img]
B: [img=100x47]1803d68416854b0.png[/img]
C: [img=100x47]1803d6841f1cf07.png[/img]
D: [img=100x47]1803d68427a23ef.png[/img]
A: [img=100x47]1803d6840e43ddf.png[/img]
B: [img=100x47]1803d68416854b0.png[/img]
C: [img=100x47]1803d6841f1cf07.png[/img]
D: [img=100x47]1803d68427a23ef.png[/img]
举一反三
- 设[img=15x19]1803a4039fa70e5.png[/img]为[img=33x23]1803a403a7dfea2.png[/img]面上的单连通区域,函数[img=114x25]1803a403b0439e1.png[/img]在[img=15x19]1803a4039fa70e5.png[/img]内具有一阶的连续偏导数,则曲线积分[img=191x48]1803a403c2a3e16.png[/img]在[img=15x19]1803a4039fa70e5.png[/img]内与路径无关的充分必要条件是在[img=15x19]1803a4039fa70e5.png[/img]内恒有( ). A: [img=100x47]1803a403dfc42d7.png[/img] B: [img=100x47]1803a403e841728.png[/img] C: [img=100x47]1803a403efe2887.png[/img] D: [img=100x47]1803a403fccb5be.png[/img]
- 设[img=15x19]180381f25df195d.png[/img]为[img=33x23]180381f265e8f7d.png[/img]面上的单连通区域,函数[img=114x25]180381f26ee4fb0.png[/img]在[img=15x19]180381f25df195d.png[/img]内具有一阶的连续偏导数,则曲线积分[img=191x48]180381f28278086.png[/img]在[img=15x19]180381f25df195d.png[/img]内与路径无关的充分必要条件是在[img=15x19]180381f25df195d.png[/img]内恒有( ). A: [img=100x47]180381f2a16f5bb.png[/img] B: [img=100x47]180381f2aa80059.png[/img] C: [img=100x47]180381f2b35beee.png[/img] D: [img=100x47]180381f2bc0a5cc.png[/img]
- 设[img=15x19]18039053b7dfa27.png[/img]为[img=33x23]18039053bfdd890.png[/img]面上的单连通区域,函数[img=114x25]18039053c8381b1.png[/img]在[img=15x19]18039053b7dfa27.png[/img]内具有一阶的连续偏导数,则曲线积分[img=191x48]18039053db77409.png[/img]在[img=15x19]18039053b7dfa27.png[/img]内与路径无关的充分必要条件是在[img=15x19]18039053b7dfa27.png[/img]内恒有( ). A: [img=100x47]18039053f47f311.png[/img] B: [img=100x47]18039053fd9dcb2.png[/img] C: [img=100x47]180390540ae4b01.png[/img] D: [img=100x47]18039054185ece7.png[/img]
- 设[img=15x19]18035aec1515a36.png[/img]为[img=33x23]18035aec1d778a1.png[/img]面上的单连通区域,函数[img=114x25]18035aec2628579.png[/img]在[img=15x19]18035aec1515a36.png[/img]内具有一阶的连续偏导数,则曲线积分[img=191x48]18035aec39562a8.png[/img]在[img=15x19]18035aec1515a36.png[/img]内与路径无关的充分必要条件是在[img=15x19]18035aec1515a36.png[/img]内恒有( ). A: [img=100x47]18035aec590b77c.png[/img] B: [img=100x47]18035aec611f98e.png[/img] C: [img=100x47]18035aec6eab1d3.png[/img] D: [img=100x47]18035aec7678a98.png[/img]
- 设[img=15x19]1803a335f824a5f.png[/img]为[img=33x23]1803a336007273a.png[/img]面上的单连通区域,函数[img=114x25]1803a33608ff279.png[/img]在[img=15x19]1803a335f824a5f.png[/img]内具有一阶的连续偏导数,则曲线积分[img=191x48]1803a3361d40e86.png[/img]在[img=15x19]1803a335f824a5f.png[/img]内与路径无关的充分必要条件是在[img=15x19]1803a335f824a5f.png[/img]内恒有( ). A: [img=100x47]1803a336430016e.png[/img] B: [img=100x47]1803a3364b7b230.png[/img] C: [img=100x47]1803a33659da6af.png[/img] D: [img=100x47]1803a336677938a.png[/img]