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连续函数与间断点[高等数学9]
高等数学合集10/44
![无穷小量的比较[高等数学8]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/ef7f3c4d69e34c7581d228bb2a4a18b8~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=EUMKMePk18H7Al4cAaf2%2FyKUEu0%3D)
App15:44![连续函数与间断点[高等数学9]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/720bcd92ad6a41ea8b5c8dbc2ce2b7b3~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=1vG8T0ptdJL3d70bWTYh1jRyymU%3D)
App25:12![[高等数学12]反函数、隐函数、参数方程求导法则](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/e18118dc9b9e457980b77f4b0237f812~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=CUBm3YuMaJYI66rhJh6W6JMHjw8%3D)
App22:36![[高等数学11]导函数的概念＆基本初等函数导数公式证明](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/cdc442e692724b83b411ec1f0fdc36a5~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=lsRmVxepYqNHe3cXJudqZ1%2BWSE4%3D)
App21:41![[高等数学13]如何理解微分？](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/a2e0de967ce7448db9f799b79ec8bd6c~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=NO3jdv92ql58GPCA0ZkM3l542Ic%3D)
App20:26![[高等数学14]罗尔中值定理——微分中值定理1](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/0dd23ce323604df4a87c0667566d4e2d~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=HbmSEJA92uTbdYGgrMa8UubGnWg%3D)
App15:41![拉格朗日中值定理[高等数学15]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/3a98032c3fb24c2d99861489d679f061~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=BUgk6dSNFOWLQsyr2zCFEIFFgjQ%3D)
App20:47![[高等数学16]柯西中值定理](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f5d1aed39d4f4b369461c2e9aa6e7395~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=23RyMc0bM%2Be6ffr037%2FsVvRGnuI%3D)
App11:23![洛必达法则[高等数学17]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/02cb1d84c0fc4ac68f45fc5bc2ac2b5f~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=7GrjO0n35E8rgHZ%2BGfZSqTAi8eQ%3D)
App21:09![泰勒公式及麦克劳林公式[高等数学18]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/4960df96913d4e95827aea2c843d5168~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=Vb6nQscJlLdX4LSjnCNnl6CvTNc%3D)
App15:24![泰勒公式的正确打开方式[高等数学19]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/2359e6b0942345a89a6297704294549f~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=TqFUiXTRpOzqFxKDBVCh0VcUJBs%3D)
App10:09![函数的凹凸性[高等数学20]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/2bccdf5604834d139776bd5cd6d0b198~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=z0FkTywRSDAxR6b%2BLSvaC8QhX0s%3D)
App14:58![不定积分[高等数学21]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/2d430c39d9c54b4483d0eefb2d092179~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=w08h2Haklfaar3EFwIT04UEkWN0%3D)
App18:06![换元积分法，第一换元法＆第二换元法[高等数学22]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/b7afa697793c4b1282bea0e02a6e9930~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=zJtfeT1UiNsmLulbcuOU9m2rxCI%3D)
App15:13![分部积分法[高等数学23]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/083f53d7b0ae43b8847f19fcbc9f394f~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=bUTiyi92rwnhvUXCcR%2FJuXZjVqo%3D)
App08:57![什么是定积分[高等数学24]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/5c8c71b363564ed2aa57b045bd5b14e2~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=KlOoRQ3NSd7AW09MsvfLaOH7kpk%3D)
App21:43![积分中值定理[高等数学25]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/1f9e13e0921f4c03bf4bbe52c72ec65f~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=%2Fa0b7MDSpqYxvty%2Buynws086298%3D)
App09:52
App17:38![定积分的换元法[高等数学26]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/98c772e478714761bfca2c4d1a97cfc7~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=KxSAliIjDY%2FdLrkWUiNDI92Ynzo%3D)
App17:15![[高数下册1]向量的数量积，向量积，混合积](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/8fafc85116c643d18a12234272a6792a~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=pWaZn7IPBFafb5p15OsO9ZypUDQ%3D)
App27:30![[高数下册2]空间中的平面方程和直线方程](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/641e4a6b0bc44a25a5da0481ec6c96d6~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=azRfPYQELCG26IX%2F6hmVkuVDsQI%3D)
App23:02![多元函数的极限与连续性[高数下册3]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/43b3473bad6449f2a2f177d94181ee75~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=qUDA7AfG6xNIgR%2BwtxxXrGhHiUY%3D)
App28:00![偏导数与高阶偏导数[高数下册4]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/cce162b9643d469e979ffcc8862ee3db~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=24C4nWrBMusxcQeJdki17w%2F0jFo%3D)
App21:47![多元函数的全微分[高数下册5]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/60639dde2fdb4ab298fc863b87ccd03d~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=YJQivCOJc%2Bc3YQM6m6X9MltYhVE%3D)
App25:42![多元复合函数求导法则[高数下册6]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/13b47be6747348bd9c3f3a8d3c0abf29~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=MRjUET%2Ft33D6u1lht3bSDScm6qs%3D)
App22:45![多元函数隐函数求导法则与Jacobi行列式[高数下册7]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/bc62f6d364304761bfc983efb3b8a5df~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=6UQups5%2FvKLbXCeDT%2FGlIUjw6nI%3D)
App19:18![方向导数与梯度[高数下册8]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/42dd554276584ebe95cf050b8b5d69cb~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=Jp2IRESRuhxF2j7CRXMd1Gnd2mc%3D)
App17:25![二重积分的概念与性质[高数下册9]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/7920905eba7b41ff97ca8de77ac1721d~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=CivakFIHe4P6PDIv%2B%2Bo3FpPMpUk%3D)
App17:03![二重积分计算法——直角坐标系计算法[高等数学10]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/0c14b406ffd641d384d4a75dff0fada6~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=Iq5yglJiEb0lxuImppM%2BzkoYOg4%3D)
App13:12![极坐标系中计算二重积分[高数下册11]](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/e629fc11cfb24008b9dbe986d775348e~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=x4BIhjBNeC8UlUcU1XivA3abq1w%3D)
App11:00![三重积分及其在平直系中的计算法[高数下册12]](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/b084b3d4355e4f89ae34a427317b6004~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20241216084505FC8921C297FEBC1D33E2&requestFrom=704&version_code=80402&x-expires=1765845905&x-signature=AIUOuGqEvy31h1glk1bIYt29s%2Fc%3D)
App14:47打开App观看
