– 03. \u77e9\u9635\u4e0e\u7ebf\u6027\u53d8\u6362<\/p>\n\n\n\n
– \u7ebf\u6027\u53d8\u6362<\/p>\n\n\n\n
– \u5411\u91cf\u8f93\u5165 \u2192 \u7ebf\u6027\u53d8\u6362 \u2192 \u5411\u91cf\u8f93\u51fa<\/p>\n\n\n\n
– \u628a\u7ebf\u6027\u53d8\u6362\u60f3\u8c61\u6210\u51fd\u6570<\/p>\n\n\n\n
– \u201c\u53d8\u6362\u201d\u4e00\u8bcd\u6697\u793a\u4e86\u6211\u4eec\u53ef\u4ee5\u7528\u8fd0\u52a8\u7684\u89d2\u5ea6\u53bb\u7406\u89e3<\/p>\n\n\n\n
– \u5411\u91cf\u8f93\u5165 \u2192 \u79fb\u52a8 \u2192 \u5411\u91cf\u8f93\u51fa<\/p>\n\n\n\n
– \u7ebf\u6027\u53d8\u6362\u4e4b\u6240\u4ee5\u662f\u7ebf\u6027\uff0c\u662f\u56e0\u4e3a\u4ee5\u4e0b\u4e24\u70b9\u6027\u8d28\uff1a<\/p>\n\n\n\n
– \u6240\u6709\u76f4\u7ebf\u5728\u53d8\u6362\u540e\u4f9d\u7136\u662f\u76f4\u7ebf\uff0c\u4e0d\u80fd\u5f2f\u66f2<\/p>\n\n\n\n
– \u539f\u70b9\u5fc5\u987b\u56fa\u5b9a<\/p>\n\n\n\n
– \u5982\u4f55\u7528\u5411\u91cf\u63cf\u8ff0\u7ebf\u6027\u53d8\u6362\u5462\uff1f<\/p>\n\n\n\n
– \u53ea\u9700\u8981\u5173\u6ce8\u57fa\u5411\u91cf $ \\hat{i} $ \u548c $ \\hat{j} $ \u7684\u8fd0\u52a8\u53d8\u6362\uff0c\u7a7a\u95f4\u4e2d\u7684\u5176\u4ed6\u5411\u91cf\u4f1a\u968f\u4e4b\u53d8\u6362\u3002<\/p>\n\n\n\n
– \u53d8\u6362\u540e\uff0c\u7a7a\u95f4\u4e2d\u5176\u4ed6\u5411\u91cf\u4ecd\u662f $ \\hat{i} $ \u548c $ \\hat{j} $ \u7684\u7ebf\u6027\u7ec4\u5408\uff0c\u4e14$ \\hat{i} $ \u548c $ \\hat{j} $ \u524d\u7684\u7cfb\u6570\u4fdd\u6301\u4e0d\u53d8<\/p>\n\n\n\n
– \u5982: \u5411\u91cf $\\vec{v}=[-1,2]^T$\uff0c\u5373 $\\vec{v} = -1\\hat{i}+ 2 \\hat{j} $<\/p>\n\n\n\n
– \u5219: $\\vec{v}_{\u53d8\u6362\u540e} = -1\\hat{i}_{\u53d8\u6362\u540e} + 2 \\hat{j}_{\u53d8\u6362\u540e} $<\/p>\n\n\n\n
– \u82e5 $\\hat{i}_{\u53d8\u6362\u540e} = [1,-2]^T$ \uff0c$\\hat{j}_{\u53d8\u6362\u540e} = [3,0]^T$ \uff0c\u90a3\u4e48 $\\vec{v}_{\u53d8\u6362\u540e} = [-1(1)+2(3),-1(-2)+2(0)]^T = [5,2] ^T$<\/p>\n\n\n\n
– \u53ea\u8981\u8bb0\u4f4f $ \\hat{i} $ \u548c $ \\hat{j} $ \u7684\u53d8\u5316\uff08\u4ed6\u4eec\u5728\u53d8\u6362\u540e\u7684\u5750\u6807\uff09\uff0c\u5c31\u80fd\u63a8\u5230\u51fa\u4efb\u610f\u5411\u91cf $ [x,y]^T $ \u53d8\u6362\u540e\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n$$\n\\begin{bmatrix}\nx \\newline\ny\n\\end{bmatrix}\n\\rightarrow\nx\n\\begin{bmatrix}\n1 \\newline\n-2\n\\end{bmatrix}\n+\ny\n\\begin{bmatrix}\n3 \\newline\n0\n\\end{bmatrix}\n=\n\\begin{bmatrix}\n1x+3y \\newline\n-2x+0y\n\\end{bmatrix}\n$$\n\n\n\n
– \u4e00\u4e2a\u7ebf\u6027\u53d8\u6362\u5b8c\u5168\u7531\u63cf\u8ff0 $\\hat{i}$ \u548c $\\hat{j}$ \u53d8\u6362\u60c5\u51b5\u7684\u56db\u4e2a\u6570\u5b57\u51b3\u5b9a\u3002<\/p>\n\n\n\n
– \u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u56db\u4e2a\u6570\u5b57\u7ec4\u5408\u8d77\u6765\uff0c\u5199\u6210\u4e00\u4e2a $2 \\times 2$ \u7684\u77e9\u9635\uff1a<\/p>\n\n\n\n$$\\begin{bmatrix}\n3 & 2 \\newline\n-2 & 1\n\\end{bmatrix}$$\n\n\n\n
– \u5176\u4e2d $ \\begin{bmatrix} 3 \\newline -2 \\end{bmatrix} $ \u8868\u793a\u53d8\u6362\u540e\u7684 $ \\hat{i} $ \uff0c $ \\begin{bmatrix} 2 \\newline -1 \\end{bmatrix} $ \u8868\u793a\u53d8\u6362\u540e\u7684 $ \\hat{j} $ .<\/p>\n\n\n\n
– \u4e8e\u662f\u6211\u4eec\u53ef\u4ee5\u4e86\u89e3\u77e9\u9635\u5bf9\u4e00\u4e2a\u5411\u91cf\u8d77\u5230\u4e86\u4f38\u7f29\u53d8\u6362\u4f5c\u7528\uff0c\u4e5f\u5c31\u662f\u77e9\u9635\u4e58\u6cd5\uff08\u6ce8\u610f\u77e9\u9635\u5728\u524d\u9762\uff0c\u5411\u91cf\u5728\u540e\u9762\uff09<\/p>\n\n\n\n$$\\begin{bmatrix}\n3 & 2 \\newline\n-2 & 1\n\\end{bmatrix}\n\\begin{bmatrix}\n-1 \\newline\n2 \n\\end{bmatrix}\n=\n\\begin{bmatrix}\n5 \\newline\n2 \n\\end{bmatrix}\n$$\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[7,13],"tags":[21,22],"class_list":["post-128","post","type-post","status-publish","format-standard","hentry","category-7","category-13","tag-21","tag-22"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts\/128","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=128"}],"version-history":[{"count":19,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts\/128\/revisions"}],"predecessor-version":[{"id":150,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=\/wp\/v2\/posts\/128\/revisions\/150"}],"wp:attachment":[{"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=128"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=128"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vincedeck.top\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}