数学分析数学分析数学分析 (25).pdf
《数学分析数学分析数学分析 (25).pdf》由会员分享,可在线阅读,更多相关《数学分析数学分析数学分析 (25).pdf(16页珍藏版)》请在得力文库 - 分享文档赚钱的网站上搜索。
1、?1?1?61222),(2244?yxyxyxf?2?22442),(yxyxyxyxf?3?222),(zyxzyxf?4?)(),(42xyxyyxf?5?ybxaxyyxf33),(?0,0?ba?6?zyzxyxzyxf2),(?0,?zyx?(1)?33440824xyfxxfyy?0?0,1;0,3xy?=?=?9?24(31)xxfx?0 xyf?224(1)yyfy?2296(31)(1)Hxy?12.6.2?)0,0()3,1(?)3,1(?)3,1(?)3,1(?0H?xxf?)0,0(6)3,1(?)3,1(?)3,1(?)3,1(?13?2222(,)(1)2(3)1
2、3f x yxy?)3,1(?)3,1(?)3,1(?)3,1(?13?)0,0(6?2?14533422422xyfxxyfyxy?00?0,1xy?=)0,0()1,1()1,1(?2122xxfx?2xyf?2122yyfy?224(61)(61)4Hxy?12.6.2?)1,1()1,1(?0H?xxf?)1,1()1,1(?2?)0,0(0H?(0,0)0f?22(,)2(2)f x xxx?4(,)2f xxx?)0,0()0,0(?3?202020 xyzfxfyfz?(0,0,0)(0,0,0)0f?2(,0)2f x yxy?2(0,0,)fz?z0)?(?(0,0,0)0,
3、0,0)?Hesse?H?()f xn?Rx?0 x()f x00()()()(TffH?xxxxxx?a?H?0()f x?b?H?0()f x?c?H?0()f x?Hesse?(,)f x y z(0,0,0)(,)f x y z 146?4?42242(32)020 xyfxxyxyfyxx?;0 xy?1,1xy?=?;1,82xy?=?3?)0,0(1,1)(1,1)?)83,22(?)83,22(?4230122xxfxyxy?324xyfxx?2yyf?422(30122)Hxyxy3 2(24)?xx?12.6.2?)83,22(?)83,22(?0H?xxf?)83,22(
4、?)83,22(?164?(1(1,1)(1,1)?0H?(1,1),1)?)0,0(0H?(0,0)0f?35(,)(1)2f x xxx?)0,0()0,0(?5?323200 xyafyxbfxy?22,abba&)$%(?332xxafx?1xyf?332yybfy?333341a bHx y?12.6.2?22,abba&)$%(?0H?xxf?147?),(22abba?3?ab?6?2221010120 xyzyfxzfxyfyz?1134242,2,2&)$%(?1134242,2,2&$%()?Hesse?314211124114220222022?&)?$?$?$%(?)2
5、,2,2(432141?144 22?2?0?xzxyzyxzyxf2223),(222?f?2220620420 xyzfxyzfyxfzx?(?Hesse?(0,0,0)0,0,0)222260204?&)$?$%(0,0,0)(0,0,0)0f?2211(,)(2)(2)22212f x y zxyxzy?(0,0,0)(0,0,0)0f?3.?yyyxyxfecos)e1(),(?(,)(1 e)sin0(,)e cos(1)e0yxyyyfx yxfx yxy?148?xk?,cos1yk?(,cos1)kk?0,1,2,k?=?(1)cosyxxfex?sinyxyfex?e co
6、s(2)eyyyyfxy?(,cos1)kk?cos(1)yyHke?e?k?0H?(,cos1)kk?k?0H?0 xxf?(,cos1kk)?4?)sin(sinsin),(yxyxyxf?2,0,0|),(?.?yxyxyxD?coscos()0coscos()0 xyfxxyfyxy?coscoscos()xyx?y?(,)|0,2x yx yxy?D?2xyxy?22,33?&$%()?0 x?0y?2xy?(,)0f x y?223 3(,)332f?0?233max?f?0min?f5?1,0bax?5?2xy?F?102)(),(dxybaJ5?1220(,)()J a bxa
7、xb dx?F2211(2)523aababb?Hesse?,a b21312&)$%(?1?3?,a b 149210322203abJabJab?11,6ab?11,6&?$%()?61?x5?6?R?123,?22123121sinsinsinsinsinsin()22RRS2?4?12233?2max433RS?7?R?H?h?213VR HR?2h?213VHhR?2222223VRhSRHR RhR Rh2R?R?h222222222032203SRRhhRhSVhRRhRRRh?I?I?I?I?52Rh?52Rh?213VR HR?2h?150?12Hh?215hHR?8?122
8、22?yxyx)(xyy?02?yxyxy,?,?0?yx12222?yxyx12?y)(xyy?1x?=1x?=?1y?21()1(12)2(2)yxyyyxyxyy?(1)y=)(xyy?1x?1?1x?1?22222()xxyyxyy?211?1y?)(xyy?1x?1?1x?1?9?08822222?zyzzyx),(yxzz?401284(2)0128zxxzyzyzyzyI?I?I?I?,?,?0?x02?zy08822222?zyzzyx0872?zz?81,7z?(,)zz x y?(0,2)?16(0,)7?151?2241 28zxzyI?I?20zx yI?I I?224
- 配套讲稿:
如PPT文件的首页显示word图标,表示该PPT已包含配套word讲稿。双击word图标可打开word文档。
- 特殊限制:
部分文档作品中含有的国旗、国徽等图片,仅作为作品整体效果示例展示,禁止商用。设计者仅对作品中独创性部分享有著作权。
- 关 键 词:
- 数学分析数学分析数学分析 25 数学分析 25
限制150内