{"id":27,"date":"2025-07-17T15:03:56","date_gmt":"2025-07-17T15:03:56","guid":{"rendered":"https:\/\/giapsgk.com\/chuyen-de\/?p=27"},"modified":"2025-07-17T15:27:57","modified_gmt":"2025-07-17T15:27:57","slug":"he-thong-kien-thuc-vat-ly-11canh-dieu-hk1-va-hk2","status":"publish","type":"post","link":"https:\/\/giapsgk.com\/chuyen-de\/he-thong-kien-thuc-vat-ly-11canh-dieu-hk1-va-hk2\/","title":{"rendered":"H\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c V\u1eadt l\u00fd 11 c\u00e1nh di\u1ec1u hk1 v\u00e0 hk2"},"content":{"rendered":"<p>T\u1ed5ng h\u1ee3p to\u00e0n b\u1ed9 ki\u1ebfn th\u1ee9c V\u1eadt l\u00fd 11 theo ch\u01b0\u01a1ng tr\u00ecnh C\u00e1nh Di\u1ec1u h\u1ecdc k\u1ef3 1 v\u00e0 2: c\u00f4ng th\u1ee9c, l\u00fd thuy\u1ebft tr\u1ecdng t\u00e2m, ch\u1ee7 \u0111\u1ec1 quan tr\u1ecdng \u2013 gi\u00fap h\u1ecdc sinh \u00f4n t\u1eadp hi\u1ec7u qu\u1ea3, chu\u1ea9n b\u1ecb thi gi\u1eefa v\u00e0 cu\u1ed1i k\u1ef3.<\/p>\n<h2><strong>Ch\u1ee7 \u0111\u1ec1 1: Dao \u0111\u1ed9ng<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-100 size-full\" src=\"https:\/\/giapsgk.com\/chuyen-de\/wp-content\/uploads\/giapsgk-he-thong-kien-thuc-vat-ly-11canh-dieu-hk1-va-hk2-2.png\" alt=\"H\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m V\u1eadt l\u00fd 11 C\u00e1nh Di\u1ec1u c\u1ea3 n\u0103m\" width=\"500\" height=\"387\" \/><\/p>\n<p><strong>B\u00e0i 1. Dao \u0111\u1ed9ng \u0111i\u1ec1u h\u00f2a<\/strong><\/p>\n<ul>\n<li>Dao \u0111\u1ed9ng \u0111i\u1ec1u h\u00f2a: chuy\u1ec3n \u0111\u1ed9ng c\u00f3 d\u1ea1ng h\u00ecnh sin theo th\u1eddi gian.<\/li>\n<li>Ph\u01b0\u01a1ng tr\u00ecnh: $x = A\\cos(\\omega t + \\varphi)$<\/li>\n<li>Bi\u00ean \u0111\u1ed9 $A$, t\u1ea7n s\u1ed1 g\u00f3c $\\omega$, pha ban \u0111\u1ea7u $\\varphi$, chu k\u1ef3 $T = \\frac{2\\pi}{\\omega}$<\/li>\n<\/ul>\n<p><strong>B\u00e0i 2. M\u1ed9t s\u1ed1 dao \u0111\u1ed9ng \u0111i\u1ec1u h\u00f2a th\u01b0\u1eddng g\u1eb7p<\/strong><\/p>\n<ul>\n<li>Con l\u1eafc l\u00f2 xo v\u00e0 con l\u1eafc \u0111\u01a1n.<\/li>\n<li>C\u00e1c y\u1ebfu t\u1ed1 \u1ea3nh h\u01b0\u1edfng \u0111\u1ebfn chu k\u1ef3 (kh\u1ed1i l\u01b0\u1ee3ng, \u0111\u1ed9 c\u1ee9ng, chi\u1ec1u d\u00e0i,\u2026)<\/li>\n<\/ul>\n<p><strong>V\u00ed d\u1ee5:<\/strong> $T_{\\text{l\u00f2 xo}} = 2\\pi\\sqrt{\\frac{m}{k}}$, $T_{\\text{\u0111\u01a1n}} = 2\\pi\\sqrt{\\frac{l}{g}}$<\/p>\n<p><strong>B\u00e0i 3. N\u0103ng l\u01b0\u1ee3ng trong dao \u0111\u1ed9ng \u0111i\u1ec1u h\u00f2a<\/strong><\/p>\n<ul>\n<li>\u0110\u1ed9ng n\u0103ng: $W_{\u0111} = \\frac{1}{2}mv^2$<\/li>\n<li>Th\u1ebf n\u0103ng: $W_{t} = \\frac{1}{2}kx^2$<\/li>\n<li>C\u01a1 n\u0103ng: $W = W_{\u0111} + W_{t} = \\text{h\u1eb1ng s\u1ed1}$ trong dao \u0111\u1ed9ng \u0111i\u1ec1u h\u00f2a.<\/li>\n<\/ul>\n<p><strong>B\u00e0i 4. Dao \u0111\u1ed9ng t\u1eaft d\u1ea7n, c\u01b0\u1ee1ng b\u1ee9c v\u00e0 c\u1ed9ng h\u01b0\u1edfng<\/strong><\/p>\n<ul>\n<li>Dao \u0111\u1ed9ng t\u1eaft d\u1ea7n: bi\u00ean \u0111\u1ed9 gi\u1ea3m theo th\u1eddi gian do ma s\u00e1t.<\/li>\n<li>Dao \u0111\u1ed9ng c\u01b0\u1ee1ng b\u1ee9c: ch\u1ecbu t\u00e1c \u0111\u1ed9ng b\u1edfi l\u1ef1c ngo\u00e0i tu\u1ea7n ho\u00e0n.<\/li>\n<li>Hi\u1ec7n t\u01b0\u1ee3ng c\u1ed9ng h\u01b0\u1edfng: bi\u00ean \u0111\u1ed9 l\u1edbn nh\u1ea5t khi t\u1ea7n s\u1ed1 l\u1ef1c c\u01b0\u1ee1ng b\u1ee9c = t\u1ea7n s\u1ed1 ri\u00eang c\u1ee7a h\u1ec7.<\/li>\n<\/ul>\n<h2><strong>Ch\u1ee7 \u0111\u1ec1 2: S\u00f3ng<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-102 size-full\" src=\"https:\/\/giapsgk.com\/chuyen-de\/wp-content\/uploads\/giapsgk-he-thong-kien-thuc-vat-ly-11canh-dieu-hk1-va-hk2-3.png\" alt=\"T\u1ed5ng h\u1ee3p c\u00f4ng th\u1ee9c v\u00e0 l\u00fd thuy\u1ebft V\u1eadt l\u00fd 11 C\u00e1nh Di\u1ec1u HK1 + HK2\" width=\"728\" height=\"302\" \/><\/p>\n<p><strong>B\u00e0i 1. M\u00f4 t\u1ea3 s\u00f3ng<\/strong><\/p>\n<ul>\n<li>S\u00f3ng c\u01a1 l\u00e0 dao \u0111\u1ed9ng lan truy\u1ec1n trong m\u00f4i tr\u01b0\u1eddng.<\/li>\n<li>Ph\u01b0\u01a1ng tr\u00ecnh s\u00f3ng: $u(x,t) = A\\cos(\\omega t &#8211; kx + \\varphi)$<\/li>\n<li>T\u1ed1c \u0111\u1ed9 truy\u1ec1n s\u00f3ng: $v = \\lambda f$<\/li>\n<\/ul>\n<p><strong>B\u00e0i 2. S\u00f3ng d\u1ecdc v\u00e0 s\u00f3ng ngang<\/strong><\/p>\n<ul>\n<li>S\u00f3ng d\u1ecdc: ph\u01b0\u01a1ng dao \u0111\u1ed9ng \/\/ ph\u01b0\u01a1ng truy\u1ec1n (\u00e2m thanh).<\/li>\n<li>S\u00f3ng ngang: ph\u01b0\u01a1ng dao \u0111\u1ed9ng \u22a5 ph\u01b0\u01a1ng truy\u1ec1n (s\u00f3ng tr\u00ean d\u00e2y).<\/li>\n<\/ul>\n<p><strong>B\u00e0i 3. Giao thoa s\u00f3ng<\/strong><\/p>\n<ul>\n<li>Hai s\u00f3ng c\u00f9ng t\u1ea7n s\u1ed1, bi\u00ean \u0111\u1ed9 giao thoa t\u1ea1o v\u00f9ng c\u1ef1c \u0111\u1ea1i v\u00e0 c\u1ef1c ti\u1ec3u.<\/li>\n<li>\u0110i\u1ec1u ki\u1ec7n: ch\u00eanh l\u1ec7ch pha ph\u00f9 h\u1ee3p \u2192 t\u0103ng c\u01b0\u1eddng (c\u1ef1c \u0111\u1ea1i) ho\u1eb7c tri\u1ec7t ti\u00eau (c\u1ef1c ti\u1ec3u).<\/li>\n<\/ul>\n<p><strong>B\u00e0i 4. S\u00f3ng d\u1eebng<\/strong><\/p>\n<ul>\n<li>H\u00ecnh th\u00e0nh do s\u1ef1 giao thoa gi\u1eefa s\u00f3ng t\u1edbi v\u00e0 s\u00f3ng ph\u1ea3n x\u1ea1.<\/li>\n<li>C\u00f3 n\u00fat (kh\u00f4ng dao \u0111\u1ed9ng) v\u00e0 b\u1ee5ng (dao \u0111\u1ed9ng c\u1ef1c \u0111\u1ea1i).<\/li>\n<li>\u1ee8ng d\u1ee5ng trong nh\u1ea1c c\u1ee5, d\u00e2y \u0111\u00e0n,\u2026<\/li>\n<\/ul>\n<h2><strong>Ch\u1ee7 \u0111\u1ec1 3: \u0110i\u1ec7n tr\u01b0\u1eddng<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-103 size-full\" src=\"https:\/\/giapsgk.com\/chuyen-de\/wp-content\/uploads\/giapsgk-he-thong-kien-thuc-vat-ly-11canh-dieu-hk1-va-hk2-4.png\" alt=\"Ki\u1ebfn th\u1ee9c V\u1eadt l\u00fd 11 C\u00e1nh Di\u1ec1u theo ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc k\u1ef3 1 v\u00e0 2\" width=\"601\" height=\"293\" \/><\/p>\n<p><strong>B\u00e0i 1. L\u1ef1c t\u01b0\u01a1ng t\u00e1c gi\u1eefa c\u00e1c \u0111i\u1ec7n t\u00edch<\/strong><\/p>\n<ul>\n<li>\u0110\u1ecbnh lu\u1eadt Coulomb: $F = k \\frac{|q_1 q_2|}{r^2}$<\/li>\n<li>L\u1ef1c h\u00fat ho\u1eb7c \u0111\u1ea9y t\u00f9y d\u1ea5u \u0111i\u1ec7n t\u00edch.<\/li>\n<\/ul>\n<p><strong>B\u00e0i 2. \u0110i\u1ec7n tr\u01b0\u1eddng<\/strong><\/p>\n<ul>\n<li>\u0110i\u1ec7n tr\u01b0\u1eddng l\u00e0 v\u00f9ng xung quanh \u0111i\u1ec7n t\u00edch m\u00e0 \u1edf \u0111\u00f3 \u0111i\u1ec7n t\u00edch kh\u00e1c b\u1ecb t\u00e1c d\u1ee5ng l\u1ef1c.<\/li>\n<li>C\u01b0\u1eddng \u0111\u1ed9 \u0111i\u1ec7n tr\u01b0\u1eddng: $\\vec{E} = \\frac{\\vec{F}}{q}$, $E = \\frac{k|Q|}{r^2}$<\/li>\n<li>\u0110\u01b0\u1eddng s\u1ee9c \u0111i\u1ec7n tr\u01b0\u1eddng c\u00f3 h\u01b0\u1edbng t\u1eeb (+) \u2192 (\u2212)<\/li>\n<\/ul>\n<p><strong>B\u00e0i 3. \u0110i\u1ec7n th\u1ebf, hi\u1ec7u \u0111i\u1ec7n th\u1ebf, t\u1ee5 \u0111i\u1ec7n<\/strong><\/p>\n<ul>\n<li>\u0110i\u1ec7n th\u1ebf: \u0111\u1ea1i l\u01b0\u1ee3ng \u0111\u1eb7c tr\u01b0ng cho n\u0103ng l\u01b0\u1ee3ng \u0111i\u1ec7n.<\/li>\n<li>Hi\u1ec7u \u0111i\u1ec7n th\u1ebf: $U = V_A &#8211; V_B$<\/li>\n<li>T\u1ee5 \u0111i\u1ec7n: linh ki\u1ec7n l\u01b0u tr\u1eef \u0111i\u1ec7n, $C = \\frac{Q}{U}$<\/li>\n<\/ul>\n<h2><strong>Ch\u1ee7 \u0111\u1ec1 4: D\u00f2ng \u0111i\u1ec7n \u2013 M\u1ea1ch \u0111i\u1ec7n<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-104 size-full\" src=\"https:\/\/giapsgk.com\/chuyen-de\/wp-content\/uploads\/giapsgk-he-thong-kien-thuc-vat-ly-11canh-dieu-hk1-va-hk2-5.png\" alt=\"T\u00f3m t\u1eaft V\u1eadt l\u00fd 11 C\u00e1nh Di\u1ec1u: \u0110\u1ea7y \u0111\u1ee7 theo ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi\" width=\"350\" height=\"259\" \/><\/p>\n<p><strong>B\u00e0i 1. C\u01b0\u1eddng \u0111\u1ed9 d\u00f2ng \u0111i\u1ec7n<\/strong><\/p>\n<ul>\n<li>C\u01b0\u1eddng \u0111\u1ed9 d\u00f2ng \u0111i\u1ec7n: $I = \\frac{q}{t}$<\/li>\n<li>L\u00e0 l\u01b0\u1ee3ng \u0111i\u1ec7n t\u00edch \u0111i qua ti\u1ebft di\u1ec7n trong 1 \u0111\u01a1n v\u1ecb th\u1eddi gian.<\/li>\n<\/ul>\n<p><strong>B\u00e0i 2. \u0110i\u1ec7n tr\u1edf<\/strong><\/p>\n<ul>\n<li>\u0110i\u1ec7n tr\u1edf: m\u1ee9c c\u1ea3n tr\u1edf d\u00f2ng \u0111i\u1ec7n c\u1ee7a v\u1eadt d\u1eabn.<\/li>\n<li>\u0110\u1ecbnh lu\u1eadt Ohm: $I = \\frac{U}{R}$<\/li>\n<li>\u0110i\u1ec7n tr\u1edf ph\u1ee5 thu\u1ed9c v\u00e0o v\u1eadt li\u1ec7u, chi\u1ec1u d\u00e0i, ti\u1ebft di\u1ec7n.<\/li>\n<\/ul>\n<p><strong>B\u00e0i 3. Ngu\u1ed3n \u0111i\u1ec7n, n\u0103ng l\u01b0\u1ee3ng v\u00e0 c\u00f4ng su\u1ea5t<\/strong><\/p>\n<ul>\n<li>Ngu\u1ed3n \u0111i\u1ec7n: cung c\u1ea5p n\u0103ng l\u01b0\u1ee3ng cho d\u00f2ng \u0111i\u1ec7n.<\/li>\n<li>C\u00f4ng c\u1ee7a d\u00f2ng \u0111i\u1ec7n: $A = UIt$<\/li>\n<li>C\u00f4ng su\u1ea5t \u0111i\u1ec7n: $P = UI = I^2R = \\frac{U^2}{R}$<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><a href=\"https:\/\/giapsgk.com\/chuyen-de\/wp-content\/uploads\/GiapSgk.com-Tom-tat-Vat-ly-11-CANH-DIEU-hk1-va-hk2.pdf\">T\u00f3m t\u1eaft ki\u1ebfn th\u1ee9c V\u1eadt l\u00fd 11 C\u00c1NH DI\u1ec0U<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>T\u1ed5ng h\u1ee3p to\u00e0n b\u1ed9 ki\u1ebfn th\u1ee9c V\u1eadt l\u00fd 11 theo ch\u01b0\u01a1ng tr\u00ecnh C\u00e1nh Di\u1ec1u h\u1ecdc k\u1ef3 1 v\u00e0 2: c\u00f4ng th\u1ee9c, l\u00fd thuy\u1ebft tr\u1ecdng t\u00e2m, ch\u1ee7 \u0111\u1ec1 quan tr\u1ecdng \u2013 gi\u00fap h\u1ecdc sinh \u00f4n t\u1eadp hi\u1ec7u qu\u1ea3, chu\u1ea9n b\u1ecb thi gi\u1eefa v\u00e0 cu\u1ed1i k\u1ef3. Ch\u1ee7 \u0111\u1ec1 1: Dao \u0111\u1ed9ng B\u00e0i 1. Dao \u0111\u1ed9ng \u0111i\u1ec1u h\u00f2a &#8230; <a title=\"H\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c V\u1eadt l\u00fd 11 c\u00e1nh di\u1ec1u hk1 v\u00e0 hk2\" class=\"read-more\" href=\"https:\/\/giapsgk.com\/chuyen-de\/he-thong-kien-thuc-vat-ly-11canh-dieu-hk1-va-hk2\/\" aria-label=\"\u0110\u1ecdc th\u00eam v\u1ec1 H\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c V\u1eadt l\u00fd 11 c\u00e1nh di\u1ec1u hk1 v\u00e0 hk2\">\u0110\u1ecdc ti\u1ebfp<\/a><\/p>\n","protected":false},"author":1,"featured_media":110,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-27","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ly-thuyet"],"_links":{"self":[{"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/posts\/27","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/comments?post=27"}],"version-history":[{"count":10,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/posts\/27\/revisions"}],"predecessor-version":[{"id":109,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/posts\/27\/revisions\/109"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/media\/110"}],"wp:attachment":[{"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/media?parent=27"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/categories?post=27"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/giapsgk.com\/chuyen-de\/wp-json\/wp\/v2\/tags?post=27"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}