{"id":5165,"date":"2024-12-27T18:12:23","date_gmt":"2024-12-27T09:12:23","guid":{"rendered":"https:\/\/torisetudy.com\/?p=5165"},"modified":"2026-03-09T17:47:18","modified_gmt":"2026-03-09T08:47:18","slug":"%e4%b8%89%e8%a7%92%e9%96%a2%e6%95%b0%e3%81%ae%e5%90%88%e6%88%90","status":"publish","type":"post","link":"https:\/\/torisetudy.com\/?p=5165","title":{"rendered":"\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u5408\u6210\u3068\u306f\uff1f<\/h3>\n\n\n\n<p>\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3068\u3044\u3046\uff0c\u975e\u5e38\u306b\u91cd\u8981\u306a\u5f0f\u5909\u5f62\u306b\u3064\u3044\u3066\u5b66\u3093\u3067\u3044\u304d\u307e\u3057\u3087\u3046\u3002\u3068\u3066\u3082\u96e3\u3057\u304f\u898b\u3048\u308b\u306e\u3067\u3059\u304c\uff0c\u4ed5\u7d44\u307f\u306f\u300c\u52a0\u6cd5\u5b9a\u7406\u306e\u9006\u300d\u3092\u3084\u3063\u3066\u3044\u308b\u3060\u3051\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u5c55\u958b\u3068\u56e0\u6570\u5206\u89e3\u306e\u95a2\u4fc2\u306e\u3088\u3046\u306a\u30a4\u30e1\u30fc\u30b8\u3067\u3059\u3002<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>\u307e\u305a\u306f\u6b63\u3057\u3044\u624b\u9806\u3092\u7d39\u4ecb\u3057\u307e\u3059\u304c\uff0c\u6700\u5f8c\u306b\u300c\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u306e\u624b\u9806\u300d\u3092\u307e\u3068\u3081\u3066\u3042\u308a\u307e\u3059\u306e\u3067\uff0c\u3057\u3063\u304b\u308a\u3068\u30b9\u30c6\u30c3\u30d7\u3092\u8eab\u306b\u4ed8\u3051\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5177\u4f53\u4f8b\u3092\u7528\u3044\u3066<\/h3>\n\n\n\n<p>$y=\\sin\\theta+\\sqrt3\\cos\\theta\\ (0\\leqq\\theta&lt;2\\pi)$ \u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u3053\u306e\u95a2\u6570\u30921\u7a2e\u985e\u306e\u4e09\u89d2\u95a2\u6570\u3067\u8868\u3059\u305f\u3081\u306b\uff0c$\\sin\\theta$ \u3092 $\\cos\\theta$ \u3067\uff08\u3082\u3057\u304f\u306f\u305d\u306e\u9006\u3067\uff09\u8868\u3059\u3053\u3068\u3092\u8003\u3048\u3066\u307f\u307e\u3059\u304c\uff0c\u5f0f\u304c\u7169\u96d1\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u305d\u3053\u3067\uff0c\u52a0\u6cd5\u5b9a\u7406\u3092\u5229\u7528\u3057\u3066\uff0c<\/p>\n\n\n\n<p>$$\\sin\\theta+\\sqrt3\\cosh=\\stext{\u25a1}\\sin(\\theta+\\alpha)\\stext{\\quad\u2026\\ \u2460}$$\u3068\u5909\u5f62\u3067\u304d\u306a\u3044\u304b\u8003\u3048\u3066\u307f\u307e\u3059\u3002\u25a1 \u306f $0$ \u4ee5\u5916\u306e\u6b63\u306e\u5b9f\u6570\uff0c$\\alpha$ \u306f $-\\pi&lt;\\alpha&lt;\\pi$ \u3092\u6e80\u305f\u3059\u89d2\u5ea6\u3067\u3059\u3002<\/p>\n\n\n\n<p>$$\\begin{aligned} \\stext{\u25a1}\\sin(\\theta+\\alpha)&amp;=\\stext{\u25a1}(\\sinh\\cos\\alpha+\\cosh\\sin\\alpha)\\\\ &amp;=\\stext{\u25a1}\\cos\\alpha\\sinh+\\stext{\u25a1}\\sin\\alpha\\cosh \\end{aligned}$$\u3067\u3059\u304b\u3089\uff0c\u2460 \u306f\uff0c<\/p>\n\n\n\n<p>$$\\sinh+\\sqrt3\\cosh=\\stext{\u25a1}\\cos\\alpha\\sinh+\\stext{\u25a1}\\sin\\alpha\\cosh\\stext{\\quad\u2026\\ \u2461}$$\u3068\u3044\u3046\u5f62\u306b\u306a\u308a\u307e\u3059\u3002\u2461 \u306e\u4e21\u8fba\u3092\u6bd4\u8f03\u3059\u308b\u3068\uff0c<\/p>\n\n\n\n<p>$$\\stext{\u25a1}\\cos\\alpha=1,\\ \\stext{\u25a1}\\sin\\alpha=\\sqrt3$$\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u305f\u3081\uff0c<\/p>\n\n\n\n<p>$$\\cos\\alpha=\\bun{1}{\\stext{\u25a1}},\\ \\sin\\alpha=\\bun{\\sqrt3}{\\stext{\u25a1}}\\stext{\\quad\u2026\u2026\\ \u2462}$$\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3088\u3063\u3066\uff0c\u2462 \u3092\u6e80\u305f\u3059\u3088\u3046\u306a \u25a1 \u3068 $\\alpha$ \u304c\u898b\u3064\u304b\u308c\u3070\u3088\u3044\u308f\u3051\u3067\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u3084\u3084\u3053\u3057\u304f\u306a\u3063\u3066\u304d\u307e\u3057\u305f\u304c\u9811\u5f35\u308a\u307e\u3057\u3087\u3046\u2026\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>\u3055\u3066\uff0c$\\alpha$ \u304c\u3069\u3093\u306a\u5024\u3067\u3042\u3063\u3066\u3082\uff0c$\\sin^2\\alpha+\\cos^2\\alpha=1$ \u304c\u6210\u308a\u7acb\u3064\u308f\u3051\u3067\u3059\u304b\u3089\uff0c<\/p>\n\n\n\n<p>$$\\left(\\bun{1}{\\stext{\u25a1}}\\right)^2+\\left(\\bun{\\sqrt3}{\\stext{\u25a1}}\\right)^2=1$$\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002\u3053\u308c\u306f\uff0c<\/p>\n\n\n\n<p>$$\\bun{1^2+\\left(\\sqrt3\\right)^2}{\\stext{\u25a1}^2}=1$$\u3068\u304b\u3051\u308b\u306e\u3067\uff0c<\/p>\n\n\n\n<p>$$\\stext{\u25a1}=\\sqrt{1+\\left(\\sqrt3\\right)^2}=2$$\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u2462 \u306b\u4ee3\u5165\u3059\u308b\u3068\uff0c$\\alpha$ \u306f $\\cos\\alpha=\\bun12$\uff0c$\\sin\\alpha=\\bun{\\sqrt3}{2}$ \u3092\u6e80\u305f\u3059\u3053\u3068\u304b\u3089\uff0c$\\alpha=\\bun{\\pi}{3}$ \u3068\u3057\u3066\u6c42\u307e\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"st-kaiwa-box kaiwaicon1 clearfix\"><div class=\"st-kaiwa-face\"><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><noscript><img decoding=\"async\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u5b8c\u6210\u30a2\u30a4\u30b3\u30f3.png\" width=\"60px\"><\/noscript><div class=\"st-kaiwa-face-name\">\u7fbd\u767d<\/div><\/div><div class=\"st-kaiwa-area\"><div class=\"st-kaiwa-hukidashi\"><div class=\"wp-block-st-blocks-st-kaiwa\">\n<p>\u3088\u3046\u3084\u304f\u7d50\u8ad6\u304c\u3067\u307e\u3057\u305f\u306d\uff01<\/p>\n<\/div><\/div><\/div><\/div>\n\n\n\n<p>\u9577\u304f\u306a\u308a\u307e\u3057\u305f\u304c\uff0c\u307e\u3068\u3081\u308b\u3068\u7d50\u5c40\uff0c<\/p>\n\n\n\n<p>$$\\begin{aligned} y&amp;=\\sqrt{1^2+\\left(\\sqrt3\\right)^2}\\left(\\bun12\\sin\\theta+\\bun{\\sqrt3}{2}\\cos\\theta\\right)\\\\ &amp;=2\\left(\\sin\\theta\\cos\\bun{\\pi}{3}+\\cos\\theta\\sin\\bun{\\pi}{3}\\right)\\\\ &amp;=2\\sin\\left(\\theta+\\bun{\\pi}{3}\\right) \\end{aligned}$$\u3068\u5909\u5f62\u3067\u304d\u305f\u308f\u3051\u3067\u3059\u3002<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u306a\u304a\uff0c\u4e0a\u306e\u4f8b\u3067\u306f $\\alpha$ \u304c\u7279\u5225\u89d2\u3060\u3063\u305f\u305f\u3081\u76f4\u63a5 $\\alpha$ \u3092\u6c42\u3081\u308b\u3053\u3068\u3067\u3057\u305f\u304c\uff0c\u305d\u3046\u3067\u306a\u3044\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3067\u3082\uff0c$\\sin\\alpha$ \u3068 $\\cos\\alpha$ \u304c\u6c42\u307e\u308b\u306e\u3067\uff0c$\\alpha$ \u306f\u4e00\u610f\u7684\u306b\u5b9a\u307e\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u300c$\\sin\\alpha$ \u304c\u2606\uff0c$\\cos\\alpha$ \u304c\u25b3\u3067\u3042\u308b\u3088\u3046\u306a\u89d2 $\\alpha$\u300d\u3068\u3044\u3046\u3088\u3046\u306a\u8868\u73fe\u3092\u3059\u308c\u3070ok\u3067\u3059\u306d\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5408\u6210\u306e\u307e\u3068\u3081<\/h3>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u3057\u3066\uff0c$\\sinh$ \u3068 $\\cosh$ \u304c\u6df7\u5408\u3057\u305f\u5f0f\u3092\uff0c$\\sin$ \u306e\u307f\u3067\u8868\u3059\u3053\u3068\u3092<span class=\"st-mymarker-s\">\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210<\/span>\u3068\u3044\u3044\u307e\u3059\u3002\u4e0a\u306e\u5f0f\u306e\u3088\u3046\u306b\uff0c\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u306f $\\sin$ \u306e\u5f0f\u3067\u8868\u3059\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3059\u304c\uff0c$\\cos$ \u3067\u8868\u3059\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3055\u3066\uff0c\u4e0a\u306e\u6d41\u308c\u304c\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u306e\u6b63\u3057\u3044\u624b\u9806\u306a\u308f\u3051\u3067\u3059\u304c\uff0c\u4e0a\u306e\u4f5c\u696d\u3092\u5ea7\u6a19\u5e73\u9762\u4e0a\u3067\u306e\u4f5c\u696d\u3068\u3057\u3066\u307e\u3068\u3081\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u624b\u9806\u3067\u6c42\u3081\u3089\u308c\u307e\u3059\u3002\u3053\u306e\u624b\u9806\u306f\u3057\u3063\u304b\u308a\u899a\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"wp-block-st-blocks-my-box st-mybox has-title post-hashiro-point\" style=\"background-color:#fff;border-color:#ff7f50\"><p class=\"st-mybox-title\" style=\"color:#ff7f50;font-weight:bold;text-shadow:#fff 3px 0px 0px, #fff 2.83487px .981584px 0px, #fff 2.35766px 1.85511px 0px, #fff 1.62091px 2.52441px 0px, #fff .705713px 2.91581px 0px, #fff -0.287171px 2.98622px 0px, #fff -1.24844px 2.72789px 0px, #fff -2.07227px 2.16926px 0px, #fff -2.66798px 1.37182px 0px, #fff -2.96998px .42336px 0px, #fff -2.94502px -0.571704px 0px, #fff -2.59586px -1.50383px 0px, #fff -1.96093px -2.27041px 0px, #fff -1.11013px -2.78704px 0px, #fff -0.137119px -2.99686px 0px, #fff .850987px -2.87677px 0px, #fff 1.74541px -2.43999px 0px, #fff 2.44769px -1.73459px 0px, #fff 2.88051px -0.838246px 0px;background:linear-gradient(0deg, #fff 0%, #fff 55%, rgba(0, 0, 0, 0) 55%, rgba(0, 0, 0, 0) 100%)\"><i class=\"st-fa st-svg-lightbulb-o st-css-no\" aria-hidden=\"\"><\/i>\u5408\u6210\u306e\u624b\u9806<\/p><div class=\"st-in-mybox\">\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$a\\sin\\theta+b\\cosh=r\\sin(\\theta+\\alpha)\\ (r>0,\\ -\\pi&lt;\\alpha&lt;\\pi)$ \u306e\u3068\u304d\uff0c$r$ \u3068 $\\alpha$ \u3092\u6c42\u3081\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large physicsimg\"><img decoding=\"async\" width=\"152\" height=\"109\" src=\"data:image\/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==\" data-src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u6570\u5b66366.svg\" alt=\"\" class=\"wp-image-5193\"\/><noscript><img decoding=\"async\" width=\"152\" height=\"109\" src=\"https:\/\/torisetudy.com\/wp-content\/uploads\/2022\/07\/\u6570\u5b66366.svg\" alt=\"\" class=\"wp-image-5193\"\/><\/noscript><\/figure>\n\n\n\n<h3 class=\"wp-block-heading is-style-st-heading-custom-count post-hashiro-countA\">\u5ea7\u6a19\u306e\u8a2d\u5b9a<\/h3>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">$xy$ \u5e73\u9762\u4e0a\u306b\u70b9 $\\rmP(a,\\,b)$ \u3092\u3068\u308b\u3002<\/p>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading is-style-st-heading-custom-count post-hashiro-countA\">\u539f\u70b9\u304b\u3089\u306e\u8ddd\u96e2\u306e\u8a08\u7b97<\/h3>\n\n\n\n<p>\u539f\u70b9 $\\rmO$ \u304b\u3089\u70b9 $\\rmP(a,\\,b)$ \u307e\u3067\u306e\u8ddd\u96e2\u3092\u6c42\u3081\u308b\u3002<\/p>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading is-style-st-heading-custom-count post-hashiro-countA\">\u89d2\u5ea6\u3092\u6c42\u3081\u308b<\/h3>\n\n\n\n<p class=\"has-st-margin-bottom has-st-margin-bottom--1\">\u52d5\u5f84 $\\rmO\\rmP$\u3068 $x$ \u8ef8\u306e\u306a\u3059\u89d2\u3092\u6c42\u3081\u308b\u3002\u3053\u306e\u5024\u304c $\\alpha$ \u3068\u306a\u308b\u3002<\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210 \u5408\u6210\u3068\u306f\uff1f \u4e09\u89d2\u95a2\u6570\u306e\u5408\u6210\u3068\u3044\u3046\uff0c\u975e\u5e38\u306b\u91cd\u8981\u306a\u5f0f\u5909\u5f62\u306b\u3064\u3044\u3066\u5b66\u3093\u3067\u3044\u304d\u307e\u3057\u3087\u3046\u3002\u3068\u3066\u3082\u96e3\u3057\u304f\u898b\u3048\u308b\u306e\u3067\u3059\u304c\uff0c\u4ed5\u7d44\u307f\u306f\u300c\u52a0\u6cd5\u5b9a\u7406\u306e\u9006\u300d\u3092\u3084\u3063\u3066\u3044\u308b\u3060\u3051\u3067\u3059\u3002 \u307e\u305a\u306f\u6b63\u3057\u3044\u624b\u9806\u3092\u7d39\u4ecb\u3057\u307e\u3059 &#8230; <\/p>\n","protected":false},"author":1,"featured_media":5150,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[33,32],"tags":[],"class_list":["post-5165","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-trigonometry","category-32"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5165"}],"collection":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5165"}],"version-history":[{"count":19,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5165\/revisions"}],"predecessor-version":[{"id":5285,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/posts\/5165\/revisions\/5285"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=\/wp\/v2\/media\/5150"}],"wp:attachment":[{"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5165"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5165"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/torisetudy.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}