{"id":1163,"date":"2026-01-19T14:32:26","date_gmt":"2026-01-19T04:32:26","guid":{"rendered":"https:\/\/archive4ones.com\/2ndstudy\/?p=1163"},"modified":"2026-01-19T14:32:26","modified_gmt":"2026-01-19T04:32:26","slug":"year11-math-3-1-5-jp","status":"publish","type":"post","link":"https:\/\/archive4ones.com\/2ndstudy\/?p=1163","title":{"rendered":"Year11-MATH-3-1-5-JP"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">\u7b2c5\u7ae0\uff1a\u4e09\u89d2\u95a2\u6570<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u3053\u308c\u307e\u3067\u4e09\u89d2\u6cd5\u306f\u4e09\u89d2\u5f62\u306b\u3064\u3044\u3066\u5b66\u3093\u3067\u304d\u307e\u3057\u305f\u3002\u6570\u5b66\u7684\u624b\u6cd5\u3067\u306f\u3001<strong>\u5186\u95a2\u6570<\/strong> \u3092\u6271\u3044\u307e\u3059\u3002\u6b63\u5f26\u95a2\u6570\u3068\u4f59\u5f26\u95a2\u6570\u3092\u7121\u9650\u306b\u7e70\u308a\u8fd4\u3059\u6ce2\u3068\u3057\u3066\u6271\u3046\u3053\u3068\u3067\u3001\u6f6e\u6c50\u3001\u97f3\u6ce2\u3001\u5b63\u7bc0\u306b\u3088\u308b\u6c17\u6e29\u306e\u5909\u5316\u3068\u3044\u3063\u305f\u5468\u671f\u7684\u306a\u73fe\u8c61\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">5.1 \u30e9\u30b8\u30a2\u30f3\u6e2c\u5b9a<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e09\u89d2\u95a2\u6570\u306e\u5fae\u7a4d\u5206\u3092\u884c\u3046\u524d\u306b\u3001\u5ea6\u3067\u306f\u306a\u304f<strong>\u30e9\u30b8\u30a2\u30f3<\/strong> \u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u30e9\u30b8\u30a2\u30f3\u306f\u5358\u4f4d\u5186\u306b\u6cbf\u3063\u305f\u5f27\u306e\u9577\u3055\u3092\u6e2c\u5b9a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5909\u63db:<\/strong> <math data-latex=\"\u03c0 radians=180\u2218\"><semantics><mrow><mi>\u03c0<\/mi><mi>r<\/mi><mi>a<\/mi><mi>d<\/mi><mi>i<\/mi><mi>a<\/mi><mi>n<\/mi><mi>s<\/mi><mo>=<\/mo><mn>180<\/mn><mo>\u2218<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\u03c0 radians=180\u2218<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><strong>\u30e9\u30b8\u30a2\u30f3\u3078\u306e\u5909\u63db:<\/strong> <math data-latex=\"\\frac{\u03c0}{180}\"><semantics><mfrac><mi>\u03c0<\/mi><mn>180<\/mn><\/mfrac><annotation encoding=\"application\/x-tex\">\\frac{\u03c0}{180}<\/annotation><\/semantics><\/math>\u3092\u639b\u3051\u308b<\/li>\n\n\n\n<li><strong>\u5ea6\u3078\u306e\u5909\u63db:<\/strong> <math data-latex=\"\\frac{180}{\u03c0}\"><semantics><mfrac><mn>180<\/mn><mi>\u03c0<\/mi><\/mfrac><annotation encoding=\"application\/x-tex\">\\frac{180}{\u03c0}<\/annotation><\/semantics><\/math>\u3092\u639b\u3051\u308b<\/li>\n<\/ul>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u6ce8\u610f:<\/strong> \u3053\u306e\u79d1\u76ee\u3067\u5fae\u7a4d\u5206\u3092\u884c\u3046\u969b\u306f\u3001\u5fc5\u305a\u96fb\u5353\u304c <strong>RAD<\/strong> \u30e2\u30fc\u30c9\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">5.2 \u5358\u4f4d\u5186<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u5358\u4f4d\u5186\u306f\u3001\u539f\u70b9 (0,0)\u3092\u4e2d\u5fc3\u3068\u3057\u3001\u534a\u5f84\u304c1\u306e\u5186\u3067\u3059\u3002\u5186\u4e0a\u306e\u4efb\u610f\u306e\u70b9(x,y)\u304c\u89d2\u5ea6\u03b8\u3092\u6301\u3064\u5834\u5408\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">*<math data-latex=\"x=cos\u2061(\u03b8)\"><semantics><mrow><mi>x<\/mi><mo>=<\/mo><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>\u03b8<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">x=cos\u2061(\u03b8)<\/annotation><\/semantics><\/math><br>*<math data-latex=\"y=sin\u2061(\u03b8)\"><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>\u03b8<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">y=sin\u2061(\u03b8)<\/annotation><\/semantics><\/math><br>*<math data-latex=\"tan\u2061(\u03b8)=\\frac{sin\u2061(\u03b8)}{cos\u2061(\u03b8)}\"><semantics><mrow><mi>t<\/mi><mi>a<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>\u03b8<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mfrac><mrow><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>\u03b8<\/mi><mo form=\"postfix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">)<\/mo><\/mrow><mrow><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>\u03b8<\/mi><mo form=\"postfix\" stretchy=\"false\" lspace=\"0em\" rspace=\"0em\">)<\/mo><\/mrow><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">tan\u2061(\u03b8)=\\frac{sin\u2061(\u03b8)}{cos\u2061(\u03b8)}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">5.3 \u6b63\u5f26\u95a2\u6570\u3068\u4f59\u5f26\u95a2\u6570\u306e\u30b0\u30e9\u30d5<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b63\u5f26\u95a2\u6570<math data-latex=\"y=sin\u2061(x)\"><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">y=sin\u2061(x)<\/annotation><\/semantics><\/math>\u3068\u4f59\u5f26\u95a2\u6570<math data-latex=\"y=cos\u2061(x)\"><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">y=cos\u2061(x)<\/annotation><\/semantics><\/math>\u306f\u5468\u671f\u6ce2\u3092\u751f\u6210\u3057\u307e\u3059\u3002\u79c1\u305f\u3061\u306f\u3057\u3070\u3057\u3070\u3053\u308c\u3089\u306e\u5909\u63db\u7248\u3092\u5b66\u3073\u307e\u3059\u3002<math data-latex=\"y=Asin\u2061(B(x\u2212C))+D\"><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>A<\/mi><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>B<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo>\u2212<\/mo><mi>C<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>+<\/mo><mi>D<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">y=Asin\u2061(B(x\u2212C))+D<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>**<math data-latex=\"A\"><semantics><mi>A<\/mi><annotation encoding=\"application\/x-tex\">A<\/annotation><\/semantics><\/math> (\u632f\u5e45):** \u4e2d\u5fc3\u304b\u3089\u306e\u6ce2\u306e\u9ad8\u3055\u3002<\/li>\n\n\n\n<li>** <math data-latex=\"B\"><semantics><mi>B<\/mi><annotation encoding=\"application\/x-tex\">B<\/annotation><\/semantics><\/math>(\u5468\u671f\u4fc2\u6570):** \u5468\u671f (<math data-latex=\"P\"><semantics><mi>P<\/mi><annotation encoding=\"application\/x-tex\">P<\/annotation><\/semantics><\/math>) \u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u5468\u671f\u306f1\u5468\u671f\u5206\u306e\u8ddd\u96e2\u3067\u3059\u3002<math data-latex=\"P = \\frac{2\u03c0}{B}\"><semantics><mrow><mi>P<\/mi><mo>=<\/mo><mfrac><mrow><mn>2<\/mn><mi>\u03c0<\/mi><\/mrow><mi>B<\/mi><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">P = \\frac{2\u03c0}{B}<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li>**<math data-latex=\"C\"><semantics><mi>C<\/mi><annotation encoding=\"application\/x-tex\">C<\/annotation><\/semantics><\/math> (\u4f4d\u76f8\u30b7\u30d5\u30c8):** \u6c34\u5e73\u65b9\u5411\u306e\u79fb\u52d5\u3002<\/li>\n\n\n\n<li>**<math data-latex=\"D\"><semantics><mi>D<\/mi><annotation encoding=\"application\/x-tex\">D<\/annotation><\/semantics><\/math> (\u5e73\u5747\u9ad8\u3055):** \u5782\u76f4\u65b9\u5411\u306e\u79fb\u52d5\uff08\u65b0\u3057\u3044\u4e2d\u5fc3\u7dda\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">5.4 \u4e09\u89d2\u95a2\u6570\u306e\u5fae\u5206<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">\u5fae\u7a4d\u5206\u5b66\u306b\u304a\u3044\u3066\u6700\u3082\u6ce8\u76ee\u3059\u3079\u304d\u30d1\u30bf\u30fc\u30f3\u306e\u4e00\u3064\u306f\u3001\u6b63\u5f26\u95a2\u6570\u3068\u4f59\u5f26\u95a2\u6570\u304c\u4e92\u3044\u306e\u50be\u304d\u3068\u3069\u306e\u3088\u3046\u306b\u95a2\u4fc2\u3057\u3066\u3044\u308b\u304b\u3067\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u6b63\u5f26\u306e\u5fae\u5206:<\/strong> <math data-latex=\"\\frac{d}{dx}(sin\u2061(kx))=kcos\u2061(kx)\"><semantics><mrow><mfrac><mi>d<\/mi><mrow><mi>d<\/mi><mi>x<\/mi><\/mrow><\/mfrac><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>k<\/mi><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mi>k<\/mi><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>k<\/mi><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{d}{dx}(sin\u2061(kx))=kcos\u2061(kx)<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><strong>\u4f59\u5f26\u306e\u5fae\u5206:<\/strong> <math data-latex=\"\\frac{d}{dx}(cos\u2061(kx))=\u2212ksin\u2061(kx)\"><semantics><mrow><mfrac><mi>d<\/mi><mrow><mi>d<\/mi><mi>x<\/mi><\/mrow><\/mfrac><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>k<\/mi><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mo form=\"prefix\" stretchy=\"false\">\u2212<\/mo><mi>k<\/mi><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>k<\/mi><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{d}{dx}(cos\u2061(kx))=\u2212ksin\u2061(kx)<\/annotation><\/semantics><\/math><\/li>\n<\/ul>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>\u6f14\u7fd2\u554f\u984c 1: \u5fae\u5206<\/strong>    <math data-latex=\"f(x)=4sin\u2061(2x)+3cos\u2061(x)\"><semantics><mrow><mi>f<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>4<\/mn><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>2<\/mn><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>+<\/mo><mn>3<\/mn><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">f(x)=4sin\u2061(2x)+3cos\u2061(x)<\/annotation><\/semantics><\/math><br>\u3092\u5fae\u5206\u3059\u308b\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><math data-latex=\"4sin\u2061(2x)\"><semantics><mrow><mn>4<\/mn><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>2<\/mn><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">4sin\u2061(2x)<\/annotation><\/semantics><\/math>\u3092\u5fae\u5206\u3059\u308b: (<math data-latex=\"2x\"><semantics><mrow><mn>2<\/mn><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">2x<\/annotation><\/semantics><\/math>) \u5185\u306e\u5fae\u5206\u306f 2 \u3067\u3042\u308b\u3002\u3057\u305f\u304c\u3063\u3066\u3001<math data-latex=\"2\u00d74cos\u2061(2x)=8cos\u2061(2x\"><semantics><mrow><mn>2<\/mn><mo>\u00d7<\/mo><mn>4<\/mn><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>2<\/mn><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>8<\/mn><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>2<\/mn><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">2\u00d74cos\u2061(2x)=8cos\u2061(2x<\/annotation><\/semantics><\/math> )\u3068\u306a\u308b\u3002<\/li>\n\n\n\n<li><math data-latex=\"3cos\u2061(x)\"><semantics><mrow><mn>3<\/mn><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">3cos\u2061(x)<\/annotation><\/semantics><\/math>\u3092\u5fae\u5206\u3059\u308b: <math data-latex=\"cos\u2061\"><semantics><mrow><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><\/mrow><annotation encoding=\"application\/x-tex\">cos\u2061<\/annotation><\/semantics><\/math>\u306e\u5fae\u5206\u306f <math data-latex=\"\u2212sin\"><semantics><mrow><mo>\u2212<\/mo><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\u2212sin<\/annotation><\/semantics><\/math>\u3067\u3042\u308b\u3002\u3057\u305f\u304c\u3063\u3066\u3001<math data-latex=\"\u22123sin\u2061(x)\"><semantics><mrow><mo>\u2212<\/mo><mn>3<\/mn><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">\u22123sin\u2061(x)<\/annotation><\/semantics><\/math> \u3068\u306a\u308b\u3002<\/li>\n\n\n\n<li><strong>\u6700\u7d42\u89e3\u7b54:<\/strong> <math data-latex=\"f\u2032(x)=8cos\u2061(2x)\u22123sin\u2061(x)\"><semantics><mrow><mi>f<\/mi><mtext>\u2032<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>8<\/mn><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>2<\/mn><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>\u2212<\/mo><mn>3<\/mn><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">f\u2032(x)=8cos\u2061(2x)\u22123sin\u2061(x)<\/annotation><\/semantics><\/math>\u3068\u306a\u308b\u3002<\/li>\n<\/ol>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">5.5 \u7df4\u7fd2\u554f\u984c<\/h4>\n\n\n\n<h4 class=\"wp-block-heading\">\u30d1\u30fc\u30c8 A: \u30e9\u30b8\u30a2\u30f3\u3068\u6b63\u78ba\u306a\u5024<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><math data-latex=\"60^\u2218\"><semantics><msup><mn>60<\/mn><mo>\u2218<\/mo><\/msup><annotation encoding=\"application\/x-tex\">60^\u2218<\/annotation><\/semantics><\/math>\u3068 <math data-latex=\"225^\u2218\"><semantics><msup><mn>225<\/mn><mo>\u2218<\/mo><\/msup><annotation encoding=\"application\/x-tex\">225^\u2218<\/annotation><\/semantics><\/math>\u3092\u30e9\u30b8\u30a2\u30f3\u306b\u5909\u63db\u3059\u308b\uff08 <math data-latex=\"\u03c0\"><semantics><mi>\u03c0<\/mi><annotation encoding=\"application\/x-tex\">\u03c0<\/annotation><\/semantics><\/math>\u306b\u3064\u3044\u3066\u306f <math data-latex=\"\u03c0\"><semantics><mi>\u03c0<\/mi><annotation encoding=\"application\/x-tex\">\u03c0<\/annotation><\/semantics><\/math>\u306e\u307e\u307e\u306b\u3059\u308b\uff09\u3002<\/li>\n\n\n\n<li>\u5358\u4f4d\u5186\u3092\u7528\u3044\u3066\u3001 <math data-latex=\"sin\u2061(\\frac{\u03c0}{2})\"><semantics><mrow><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mfrac><mi>\u03c0<\/mi><mn>2<\/mn><\/mfrac><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">sin\u2061(\\frac{\u03c0}{2})<\/annotation><\/semantics><\/math>\u3068 <math data-latex=\"cos\u2061(\u03c0)\"><semantics><mrow><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>\u03c0<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">cos\u2061(\u03c0)<\/annotation><\/semantics><\/math>\u306e\u6b63\u78ba\u306a\u5024\u3092\u6c42\u3081\u308b\u3002<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u30d1\u30fc\u30c8 B: \u30b0\u30e9\u30d5\u6a5f\u80fd<\/h4>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\">\n<li>\u95a2\u6570\u306b\u3064\u3044\u3066: <math data-latex=\"y=5sin\u2061(2x)+1\"><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mn>5<\/mn><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>2<\/mn><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>+<\/mo><mn>1<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">y=5sin\u2061(2x)+1<\/annotation><\/semantics><\/math><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u632f\u5e45\u3092\u8ff0\u3079\u308b\u3002<\/li>\n\n\n\n<li>\u5468\u671f\u3092\u8a08\u7b97\u3059\u308b\u3002<\/li>\n\n\n\n<li>\u95a2\u6570\u306e\u5024\u57df\u3092\u8ff0\u3079\u308b\u3002<\/li>\n<\/ul>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\">\n<li>\u95a2\u6570<math data-latex=\"y=cos\u2061(Bx)\"><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>B<\/mi><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">y=cos\u2061(Bx)<\/annotation><\/semantics><\/math>\u306e\u5468\u671f\u304c <math data-latex=\"\u03c0\"><semantics><mi>\u03c0<\/mi><annotation encoding=\"application\/x-tex\">\u03c0<\/annotation><\/semantics><\/math>\u306e\u5834\u5408\u3001<math data-latex=\"B\"><semantics><mi>B<\/mi><annotation encoding=\"application\/x-tex\">B<\/annotation><\/semantics><\/math>\u306e\u5024\u3092\u6c42\u3081\u306a\u3055\u3044\u3002<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading\">\u30d1\u30fc\u30c8 C: \u5fae\u7a4d\u5206<\/h4>\n\n\n\n<ol start=\"5\" class=\"wp-block-list\">\n<li><math data-latex=\"y=sin\u2061(4x)\"><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>4<\/mn><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">y=sin\u2061(4x)<\/annotation><\/semantics><\/math>\u306e\u5fae\u5206\u3092\u6c42\u3081\u306a\u3055\u3044\u3002<\/li>\n\n\n\n<li><math data-latex=\"f(x)=cos\u2061(5x)+x2\"><semantics><mrow><mi>f<\/mi><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>5<\/mn><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>+<\/mo><mi>x<\/mi><mn>2<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">f(x)=cos\u2061(5x)+x2<\/annotation><\/semantics><\/math>\u306e\u5fae\u5206\u3092\u6c42\u3081\u306a\u3055\u3044\u3002<\/li>\n\n\n\n<li><strong>\u30c1\u30e3\u30ec\u30f3\u30b8:<\/strong> <math data-latex=\"x=\u03c0\"><semantics><mrow><mi>x<\/mi><mo>=<\/mo><mi>\u03c0<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">x=\u03c0<\/annotation><\/semantics><\/math>\u3068\u306a\u308b\u70b9\u306b\u304a\u3051\u308b\u66f2\u7dda<math data-latex=\"y=sin\u2061(x)\"><semantics><mrow><mi>y<\/mi><mo>=<\/mo><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">y=sin\u2061(x)<\/annotation><\/semantics><\/math>\u306e\u50be\u304d\u3092\u6c42\u3081\u306a\u3055\u3044\u3002<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">\u89e3\u7b54\uff08\u307e\u3068\u3081\uff09<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>1.<\/strong> <math data-latex=\" \\frac{\u03c0}{3}, \\frac{5\u03c0}{4}\"><semantics><mrow><mfrac><mi>\u03c0<\/mi><mn>3<\/mn><\/mfrac><mo separator=\"true\">,<\/mo><mfrac><mrow><mn>5<\/mn><mi>\u03c0<\/mi><\/mrow><mn>4<\/mn><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\"> \\frac{\u03c0}{3}, \\frac{5\u03c0}{4}<\/annotation><\/semantics><\/math>\u3001<\/li>\n\n\n\n<li><strong>2.<\/strong> <math data-latex=\"sin\u2061(\\frac{\u03c0}{2})=1, cos\u2061(\u03c0)=\u22121\"><semantics><mrow><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mfrac><mi>\u03c0<\/mi><mn>2<\/mn><\/mfrac><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>1<\/mn><mo separator=\"true\">,<\/mo><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>\u03c0<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mo form=\"prefix\" stretchy=\"false\">\u2212<\/mo><mn>1<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">sin\u2061(\\frac{\u03c0}{2})=1, cos\u2061(\u03c0)=\u22121<\/annotation><\/semantics><\/math>\u3001<\/li>\n\n\n\n<li><strong>3.<\/strong> \u632f\u5e45 = 5 ; \u5468\u671f = <math data-latex=\"\\frac{2\u03c0}{2} = \u03c0\"><semantics><mrow><mfrac><mrow><mn>2<\/mn><mi>\u03c0<\/mi><\/mrow><mn>2<\/mn><\/mfrac><mo>=<\/mo><mi>\u03c0<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{2\u03c0}{2} = \u03c0<\/annotation><\/semantics><\/math> ; \u7bc4\u56f2 = <math data-latex=\"[\u22124,6]\"><semantics><mrow><mo form=\"prefix\" stretchy=\"false\">[<\/mo><mo form=\"prefix\" stretchy=\"false\">\u2212<\/mo><mn>4,6<\/mn><mo form=\"postfix\" stretchy=\"false\">]<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">[\u22124,6]<\/annotation><\/semantics><\/math> (\u4e2d\u5fc3\u306f 1 \u3067\u3001\u4e0a\u4e0b\u306b 5 \u305a\u3064\u5909\u5316\u3057\u307e\u3059)\u3002<\/li>\n\n\n\n<li><strong>4.<\/strong> ( <math data-latex=\"\\frac{2\u03c0}{2}=\u03c0\"><semantics><mrow><mfrac><mrow><mn>2<\/mn><mi>\u03c0<\/mi><\/mrow><mn>2<\/mn><\/mfrac><mo>=<\/mo><mi>\u03c0<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\frac{2\u03c0}{2}=\u03c0<\/annotation><\/semantics><\/math>\u306a\u306e\u3067)\u3002<math data-latex=\"B=2\"><semantics><mrow><mi>B<\/mi><mo>=<\/mo><mn>2<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">B=2<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><strong>5.<\/strong> <math data-latex=\"4cos\u2061(4x)\"><semantics><mrow><mn>4<\/mn><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>4<\/mn><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">4cos\u2061(4x)<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><strong>6.<\/strong> <math data-latex=\"\u22125sin\u2061(5x)+2x\"><semantics><mrow><mo>\u2212<\/mo><mn>5<\/mn><mi>s<\/mi><mi>i<\/mi><mi>n<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mn>5<\/mn><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>+<\/mo><mn>2<\/mn><mi>x<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\u22125sin\u2061(5x)+2x<\/annotation><\/semantics><\/math><\/li>\n\n\n\n<li><strong>7.<\/strong>  <math data-latex=\"x=\u03c0\"><semantics><mrow><mi>x<\/mi><mo>=<\/mo><mi>\u03c0<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">x=\u03c0<\/annotation><\/semantics><\/math>,<math data-latex=\"cos\u2061(\u03c0)=\u22121\"><semantics><mrow><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>\u03c0<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><mo>=<\/mo><mo form=\"prefix\" stretchy=\"false\">\u2212<\/mo><mn>1<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">cos\u2061(\u03c0)=\u22121<\/annotation><\/semantics><\/math> \u306b\u304a\u3044\u3066\u3001<math data-latex=\"y\u2032=cos\u2061(x)\"><semantics><mrow><mi>y<\/mi><mtext>\u2032<\/mtext><mo>=<\/mo><mi>c<\/mi><mi>o<\/mi><mi>s<\/mi><mtext>\u2061<\/mtext><mo form=\"prefix\" stretchy=\"false\">(<\/mo><mi>x<\/mi><mo form=\"postfix\" stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">y\u2032=cos\u2061(x)<\/annotation><\/semantics><\/math> \u3002\u50be\u304d\u306f -1 \u3067\u3059\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7b2c5\u7ae0\uff1a\u4e09\u89d2\u95a2\u6570 \u3053\u308c\u307e\u3067\u4e09\u89d2\u6cd5\u306f\u4e09\u89d2\u5f62\u306b\u3064\u3044\u3066\u5b66\u3093\u3067\u304d\u307e\u3057\u305f\u3002\u6570\u5b66\u7684\u624b\u6cd5\u3067\u306f\u3001\u5186\u95a2\u6570 \u3092\u6271\u3044\u307e\u3059\u3002\u6b63\u5f26\u95a2\u6570\u3068\u4f59\u5f26\u95a2\u6570\u3092\u7121\u9650\u306b\u7e70\u308a\u8fd4\u3059\u6ce2\u3068\u3057\u3066\u6271\u3046\u3053\u3068\u3067\u3001\u6f6e\u6c50\u3001\u97f3\u6ce2\u3001\u5b63\u7bc0\u306b\u3088\u308b\u6c17\u6e29\u306e\u5909\u5316\u3068\u3044\u3063\u305f\u5468\u671f\u7684\u306a\u73fe\u8c61\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 5.1 \u30e9\u30b8\u30a2\u30f3\u6e2c\u5b9a \u4e09\u89d2\u95a2\u6570\u306e\u5fae\u7a4d\u5206\u3092\u884c\u3046\u524d\u306b\u3001\u5ea6\u3067\u306f\u306a\u304f\u30e9\u30b8\u30a2\u30f3 \u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u30e9\u30b8\u30a2\u30f3\u306f\u5358\u4f4d\u5186\u306b\u6cbf\u3063\u305f\u5f27\u306e\u9577\u3055\u3092\u6e2c\u5b9a\u3057\u307e\u3059\u3002 \u6ce8\u610f: \u3053\u306e\u79d1\u76ee\u3067\u5fae\u7a4d\u5206\u3092\u884c\u3046\u969b\u306f\u3001\u5fc5\u305a\u96fb\u5353\u304c RAD \u30e2\u30fc\u30c9\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002 5.2 \u5358\u4f4d\u5186 \u5358\u4f4d\u5186\u306f\u3001\u539f\u70b9 (0,0)\u3092\u4e2d\u5fc3\u3068\u3057\u3001\u534a\u5f84\u304c1\u306e\u5186\u3067\u3059\u3002\u5186\u4e0a\u306e\u4efb\u610f\u306e\u70b9(x,y)\u304c\u89d2\u5ea6\u03b8\u3092\u6301\u3064\u5834\u5408\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 *x=cos\u2061(\u03b8)x=cos\u2061(\u03b8)*y=sin\u2061(\u03b8)y=sin\u2061(\u03b8)*tan\u2061(\u03b8)=sin\u2061(\u03b8)cos\u2061(\u03b8)tan\u2061(\u03b8)=\\frac{sin\u2061(\u03b8)}{cos\u2061(\u03b8)} 5.3 \u6b63\u5f26\u95a2\u6570\u3068\u4f59\u5f26\u95a2\u6570\u306e\u30b0\u30e9\u30d5 \u6b63\u5f26\u95a2\u6570y=sin\u2061(x)y=sin\u2061(x)\u3068\u4f59\u5f26\u95a2\u6570y=cos\u2061(x)y=cos\u2061(x)\u306f\u5468\u671f\u6ce2\u3092\u751f\u6210\u3057\u307e\u3059\u3002\u79c1\u305f\u3061\u306f\u3057\u3070\u3057\u3070\u3053\u308c\u3089\u306e\u5909\u63db\u7248\u3092\u5b66\u3073\u307e\u3059\u3002y=Asin\u2061(B(x\u2212C))+Dy=Asin\u2061(B(x\u2212C))+D 5.4 \u4e09\u89d2\u95a2\u6570\u306e\u5fae\u5206 \u5fae\u7a4d\u5206\u5b66\u306b\u304a\u3044\u3066\u6700\u3082\u6ce8\u76ee\u3059\u3079\u304d\u30d1\u30bf\u30fc\u30f3\u306e\u4e00\u3064\u306f\u3001\u6b63\u5f26\u95a2\u6570\u3068\u4f59\u5f26\u95a2\u6570\u304c\u4e92\u3044\u306e\u50be\u304d\u3068\u3069\u306e\u3088\u3046\u306b\u95a2\u4fc2\u3057\u3066\u3044\u308b\u304b\u3067\u3059\u3002 5.5 \u7df4\u7fd2\u554f\u984c \u30d1\u30fc\u30c8 A: \u30e9\u30b8\u30a2\u30f3\u3068\u6b63\u78ba\u306a\u5024 \u30d1\u30fc\u30c8 B: \u30b0\u30e9\u30d5\u6a5f\u80fd \u30d1\u30fc\u30c8 C: \u5fae\u7a4d\u5206 \u89e3\u7b54\uff08\u307e\u3068\u3081\uff09<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[],"class_list":["post-1163","post","type-post","status-publish","format-standard","hentry","category-math"],"_links":{"self":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/1163","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1163"}],"version-history":[{"count":3,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/1163\/revisions"}],"predecessor-version":[{"id":1178,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=\/wp\/v2\/posts\/1163\/revisions\/1178"}],"wp:attachment":[{"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1163"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1163"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/archive4ones.com\/2ndstudy\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1163"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}