• 2022-06-29 问题

    设函数[tex=3.714x1.286]ILxTGSNsFVqbb4UrB1q2og==[/tex]具有二阶导数且[tex=4.214x1.286]YRReUQzIsdcIgxj5peM19NRfM/N7sJwKZdaYKnU6eS8=[/tex],直线[tex=1.0x1.286]TNZJ7SbeR9v3+IiQfw5EtQ==[/tex]是曲线[tex=3.714x1.286]ILxTGSNsFVqbb4UrB1q2og==[/tex]上任一点 [tex=3.214x1.286]9ez2b9qo3tkyk3Ytj6uvLQ==[/tex]处的切线[tex=4.214x1.286]gde98ib3mRMZNaNvQL1APPN1/rQTeZB/TWx/fQOJZzM=[/tex].记直线[tex=1.0x1.286]TNZJ7SbeR9v3+IiQfw5EtQ==[/tex]与曲线[tex=3.714x1.286]ILxTGSNsFVqbb4UrB1q2og==[/tex]以及直线[tex=2.357x1.286]F20DA9b5PZyvxJH27l4LOQ==[/tex],[tex=2.357x1.286]jgIRiGqlkdCMqO92sJAASg==[/tex]所围成的图形的面积为[tex=1.786x1.286]9PL6s5d10njRp1ZVGReFNQ==[/tex].证明:[tex=1.786x1.286]9PL6s5d10njRp1ZVGReFNQ==[/tex]的最小值[tex=5.286x1.714]SACYgy6I9Uodm/6ZmfQc6eW7CapSQ4N/rXDqzR2affdNZVAg/1cmOOL/POrOx5Ua[/tex][tex=3.786x2.357]MR8iE8IK/XVXB+o5sM8zas4MuUdCY43q62vfbdDAxcc=[/tex][tex=4.571x2.429]KEskdFvxflbt/GW6hsSi7QbV8h0e0k/1UZEEWEOI2Mw=[/tex].

    设函数[tex=3.714x1.286]ILxTGSNsFVqbb4UrB1q2og==[/tex]具有二阶导数且[tex=4.214x1.286]YRReUQzIsdcIgxj5peM19NRfM/N7sJwKZdaYKnU6eS8=[/tex],直线[tex=1.0x1.286]TNZJ7SbeR9v3+IiQfw5EtQ==[/tex]是曲线[tex=3.714x1.286]ILxTGSNsFVqbb4UrB1q2og==[/tex]上任一点 [tex=3.214x1.286]9ez2b9qo3tkyk3Ytj6uvLQ==[/tex]处的切线[tex=4.214x1.286]gde98ib3mRMZNaNvQL1APPN1/rQTeZB/TWx/fQOJZzM=[/tex].记直线[tex=1.0x1.286]TNZJ7SbeR9v3+IiQfw5EtQ==[/tex]与曲线[tex=3.714x1.286]ILxTGSNsFVqbb4UrB1q2og==[/tex]以及直线[tex=2.357x1.286]F20DA9b5PZyvxJH27l4LOQ==[/tex],[tex=2.357x1.286]jgIRiGqlkdCMqO92sJAASg==[/tex]所围成的图形的面积为[tex=1.786x1.286]9PL6s5d10njRp1ZVGReFNQ==[/tex].证明:[tex=1.786x1.286]9PL6s5d10njRp1ZVGReFNQ==[/tex]的最小值[tex=5.286x1.714]SACYgy6I9Uodm/6ZmfQc6eW7CapSQ4N/rXDqzR2affdNZVAg/1cmOOL/POrOx5Ua[/tex][tex=3.786x2.357]MR8iE8IK/XVXB+o5sM8zas4MuUdCY43q62vfbdDAxcc=[/tex][tex=4.571x2.429]KEskdFvxflbt/GW6hsSi7QbV8h0e0k/1UZEEWEOI2Mw=[/tex].

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