{"id":205,"date":"2025-03-20T22:04:54","date_gmt":"2025-03-20T14:04:54","guid":{"rendered":"https:\/\/tilearn.space\/?p=205"},"modified":"2026-03-18T19:09:18","modified_gmt":"2026-03-18T11:09:18","slug":"%e7%89%a9%e7%90%86%e6%b2%aa%e6%95%99%e7%89%88%ef%bc%88%e8%80%81%e7%89%88%e6%9c%ac%ef%bc%89%e5%90%84%e7%ab%a0%e5%86%85%e5%ae%b9%e6%80%bb%e7%bb%93%ef%bc%881-%e5%a3%b0%ef%bc%89","status":"publish","type":"post","link":"https:\/\/tilearn.space\/?p=205","title":{"rendered":"\u7269\u7406\u6caa\u6559\u7248\uff08\u8001\u7248\u672c\uff09\u5404\u7ae0\u5185\u5bb9\u603b\u7ed3"},"content":{"rendered":"

\u5168\u90e8\u5185\u5bb9\u8bf7\u70b9\u51fb\u4e0b\u8f7d\u89c2\u770b\uff1a\u3010\u767e\u5ea6\u7f51\u76d8\u4e0b\u8f7d<\/a>\u3011<\/h3>\n

\u4ee5\u4e0b\u662f\u9884\u89c8\u90e8\u5206\uff1a<\/p>\n

\u7b2c\u4e00\u7ae0 \u58f0 \u5355\u5143\u603b\u7ed3<\/h1>\n

\u601d\u7ef4\u5bfc\u56fe<\/h2>\n

\u4ee5\u4e0b\u662f\u201c\u58f0\u201d\u8fd9\u4e00\u5355\u5143\u7684\u6838\u5fc3\u77e5\u8bc6\u70b9\u603b\u7ed3\uff0c\u4ee5\u6587\u5b57\u5f62\u5f0f\u5448\u73b0\u601d\u7ef4\u5bfc\u56fe\u7684\u4e3b\u8981\u5185\u5bb9\uff1a<\/p>\n

    \n
  • \u58f0\u97f3\u7684\u4ea7\u751f\u4e0e\u4f20\u64ad<\/strong>\n
      \n
    • \u58f0\u97f3\u7684\u4ea7\u751f\uff1a\u7531\u4e8e\u7269\u4f53\u7684\u632f\u52a8\u4ea7\u751f\u3002<\/li>\n
    • \u58f0\u6ce2\uff1a\u53d1\u58f0\u4f53\u7684\u632f\u52a8\u5728\u7a7a\u6c14\u6216\u5176\u4ed6\u7269\u8d28\u4e2d\u7684\u4f20\u64ad\u3002<\/li>\n
    • \u58f0\u901f\uff1a\u58f0\u6ce2\u57281\u79d2\u5185\u4f20\u64ad\u7684\u8ddd\u79bb\uff0c\u79f0\u4e3a\u58f0\u97f3\u7684\u901f\u5ea6\u3002<\/li>\n
    • \u58f0\u901f\u5927\u5c0f\uff1a\u56fa\u4f53\u4e2d\u58f0\u901f\u6700\u5927\uff0c\u6c14\u4f53\u4e2d\u58f0\u901f\u6700\u5c0f\u3002\u6e29\u5ea6\u4e3a \\(15^\\circ \\text{C}\\) \u65f6\uff0c\u7a7a\u6c14\u4e2d\u7684\u58f0\u901f\u4e3a \\(v_p = 340 \\, \\text{m\/s}\\)\u3002\u771f\u7a7a\u4e0d\u80fd\u4f20\u58f0\u3002<\/li>\n<\/ul>\n<\/li>\n
    • \u56de\u58f0<\/strong>\n
        \n
      • \u5b9a\u4e49\uff1a\u58f0\u97f3\u9047\u5230\u969c\u788d\u7269\u53cd\u5c04\u56de\u6765\u7684\u73b0\u8c61\u79f0\u4e3a\u56de\u58f0\u3002<\/li>\n
      • \u5206\u8fa8\u56de\u58f0\u7684\u6761\u4ef6\uff1a\u53cd\u5c04\u56de\u6765\u7684\u58f0\u97f3\u5230\u8fbe\u4eba\u8033\u6bd4\u539f\u58f0\u665a \\(0.1 \\, \\text{s}\\) \u4ee5\u4e0a\u3002<\/li>\n
      • \u5e94\u7528\uff1a\u56de\u58f0\u53ef\u7528\u4e8e\u6d4b\u91cf\u8ddd\u79bb\uff0c\u5982\u8d85\u58f0\u6ce2\u8bca\u65ad\u3002<\/li>\n<\/ul>\n<\/li>\n
      • \u58f0\u97f3\u7684\u7279\u6027<\/strong>\n
          \n
        • \u54cd\u5ea6\uff1a\u4eba\u8033\u611f\u89c9\u5230\u7684\u58f0\u97f3\u5f3a\u5f31\u7a0b\u5ea6\uff0c\u4e5f\u53eb\u97f3\u91cf\uff0c\u4e0e\u53d1\u58f0\u4f53\u7684\u632f\u5e45\u548c\u4eba\u79bb\u53d1\u58f0\u4f53\u7684\u8ddd\u79bb\u6709\u5173\u3002<\/li>\n
        • \u97f3\u8c03\uff1a\u58f0\u97f3\u7684\u9ad8\u4f4e\uff0c\u7531\u632f\u52a8\u9891\u7387\u51b3\u5b9a\u3002\u9891\u7387\u9ad8\u5219\u97f3\u8c03\u9ad8\uff0c\u9891\u7387\u4f4e\u5219\u97f3\u8c03\u4f4e\u3002<\/li>\n
        • \u97f3\u8272\uff1a\u7531\u53d1\u58f0\u4f53\u672c\u8eab\u7684\u6750\u6599\u548c\u7ed3\u6784\u51b3\u5b9a\uff0c\u4e0d\u540c\u7269\u4f53\u632f\u52a8\u53d1\u58f0\u65f6\uff0c\u58f0\u6ce2\u7531\u4e0d\u540c\u9891\u7387\u7ec4\u6210\u3002<\/li>\n<\/ul>\n<\/li>\n
        • \u566a\u58f0\u4e0e\u63a7\u5236<\/strong>\n
            \n
          • \u566a\u58f0\uff1a\u53d1\u58f0\u4f53\u65e0\u89c4\u5f8b\u632f\u52a8\u65f6\u53d1\u51fa\u7684\u58f0\u97f3\u3002<\/li>\n
          • \u63a7\u5236\u566a\u58f0\u7684\u65b9\u6cd5\uff1a\n
              \n
            1. \u63a7\u5236\u566a\u58f0\u6e90\u7684\u5f3a\u5ea6\u3002<\/li>\n
            2. \u963b\u65ad\u566a\u58f0\u7684\u4f20\u64ad\u9014\u5f84\u3002<\/li>\n
            3. \u4fdd\u62a4\u53d7\u566a\u58f0\u5f71\u54cd\u8005\uff08\u5982\u4f69\u6234\u8033\u585e\uff09\u3002<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<\/li>\n
            4. \u8d85\u58f0\u6ce2\u4e0e\u6b21\u58f0\u6ce2<\/strong>\n
                \n
              • \u8d85\u58f0\u6ce2\uff1a\u9891\u7387\u9ad8\u4e8e \\(20000 \\, \\text{Hz}\\) \u7684\u58f0\u6ce2\u3002<\/li>\n
              • \u6b21\u58f0\u6ce2\uff1a\u9891\u7387\u4f4e\u4e8e \\(20 \\, \\text{Hz}\\) \u7684\u58f0\u6ce2\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n

                \u8be6\u7ec6\u5185\u5bb9<\/h2>\n

                1. \u58f0\u97f3\u7684\u4ea7\u751f\u4e0e\u4f20\u64ad<\/h3>\n

                \u58f0\u97f3\u662f\u7531\u7269\u4f53\u7684\u632f\u52a8\u4ea7\u751f\u7684\u3002\u5f53\u7269\u4f53\u632f\u52a8\u65f6\uff0c\u4f1a\u5f15\u8d77\u5468\u56f4\u4ecb\u8d28\uff08\u5982\u7a7a\u6c14\u3001\u6c34\u6216\u56fa\u4f53\uff09\u7684\u632f\u52a8\uff0c\u8fd9\u79cd\u632f\u52a8\u4ee5\u6ce2\u7684\u5f62\u5f0f\u4f20\u64ad\uff0c\u79f0\u4e3a\u58f0\u6ce2<\/strong>\u3002\u58f0\u6ce2\u5728\u4e0d\u540c\u4ecb\u8d28\u4e2d\u7684\u4f20\u64ad\u901f\u5ea6\u4e0d\u540c\uff0c\u5b9a\u4e49\u4e3a\u5355\u4f4d\u65f6\u95f4\u5185\u4f20\u64ad\u7684\u8ddd\u79bb\uff0c\u5373\u58f0\u901f\u3002\u6570\u5b66\u4e0a\uff0c\u58f0\u901f\u7528 \\(v\\) \u8868\u793a\uff0c\u5176\u5355\u4f4d\u4e3a \\(\\text{m\/s}\\)\u3002\u4f8b\u5982\uff0c\u5728\u6e29\u5ea6 \\(15^\\circ \\text{C}\\) \u7684\u7a7a\u6c14\u4e2d\uff0c\u58f0\u901f\u4e3a\uff1a<\/p>\n

                \\[ v_p = 340 \\, \\text{m\/s} \\]<\/p>\n

                \u58f0\u901f\u7684\u5927\u5c0f\u4e0e\u4ecb\u8d28\u6709\u5173\uff1a\u56fa\u4f53\u4e2d\u6700\u5927\uff0c\u6db2\u4f53\u6b21\u4e4b\uff0c\u6c14\u4f53\u4e2d\u6700\u5c0f\u3002\u7279\u522b\u5730\uff0c\u771f\u7a7a\u4e2d\u6ca1\u6709\u4ecb\u8d28\uff0c\u56e0\u6b64\u65e0\u6cd5\u4f20\u58f0\u3002<\/p>\n

                2. \u56de\u58f0<\/h3>\n

                \u5f53\u58f0\u97f3\u9047\u5230\u969c\u788d\u7269\uff08\u5982\u5899\u58c1\u3001\u5c71\u5d16\uff09\u53cd\u5c04\u56de\u6765\u65f6\uff0c\u5f62\u6210\u4e86\u56de\u58f0<\/strong>\u3002\u8981\u5206\u8fa8\u51fa\u56de\u58f0\u4e0e\u539f\u58f0\uff0c\u4eba\u8033\u63a5\u6536\u5230\u7684\u53cd\u5c04\u58f0\u5fc5\u987b\u6bd4\u539f\u58f0\u665a\u81f3\u5c11 \\(0.1 \\, \\text{s}\\)\u3002\u56de\u58f0\u7684\u5e94\u7528\u975e\u5e38\u5e7f\u6cdb\uff0c\u4f8b\u5982\u5229\u7528\u8d85\u58f0\u6ce2\u6d4b\u91cf\u8ddd\u79bb\u6216\u8fdb\u884c\u533b\u5b66\u8bca\u65ad\u3002<\/p>\n

                3. \u58f0\u97f3\u7684\u4e09\u5927\u7279\u6027<\/h3>\n
                  \n
                • \u54cd\u5ea6<\/strong>\uff1a\u4eba\u8033\u611f\u77e5\u7684\u58f0\u97f3\u5f3a\u5f31\u7a0b\u5ea6\uff0c\u4e0e\u632f\u5e45\u548c\u8ddd\u79bb\u6709\u5173\u3002\u632f\u5e45\u8d8a\u5927\uff0c\u54cd\u5ea6\u8d8a\u5927\uff1b\u8ddd\u79bb\u8d8a\u8fd1\uff0c\u54cd\u5ea6\u8d8a\u5927\u3002<\/li>\n
                • \u97f3\u8c03<\/strong>\uff1a\u58f0\u97f3\u7684\u9ad8\u4f4e\uff0c\u7531\u632f\u52a8\u7684\u9891\u7387\u51b3\u5b9a\u3002\u9891\u7387 \\(f\\) \u7684\u5355\u4f4d\u662f\u8d6b\u5179\uff08\\(\\text{Hz}\\)\uff09\uff0c\u516c\u5f0f\u5173\u7cfb\u4e3a\uff1a\n
                    \n
                  • \u632f\u52a8\u9891\u7387\u9ad8 \\(\\Rightarrow\\) \u97f3\u8c03\u9ad8<\/li>\n
                  • \u632f\u52a8\u9891\u7387\u4f4e \\(\\Rightarrow\\) \u97f3\u8c03\u4f4e<\/li>\n<\/ul>\n<\/li>\n
                  • \u97f3\u8272<\/strong>\uff1a\u4e0d\u540c\u7269\u4f53\u53d1\u58f0\u65f6\uff0c\u56e0\u6750\u6599\u548c\u7ed3\u6784\u5dee\u5f02\uff0c\u58f0\u6ce2\u5305\u542b\u7684\u9891\u7387\u6210\u5206\u4e0d\u540c\uff0c\u4ece\u800c\u5f62\u6210\u72ec\u7279\u7684\u97f3\u8272\u3002<\/li>\n<\/ul>\n

                    4. \u566a\u58f0\u53ca\u5176\u63a7\u5236<\/h3>\n

                    \u5f53\u53d1\u58f0\u4f53\u65e0\u89c4\u5f8b\u632f\u52a8\u65f6\uff0c\u4ea7\u751f\u7684\u58f0\u97f3\u79f0\u4e3a\u566a\u58f0<\/strong>\u3002\u566a\u58f0\u5bf9\u4eba\u4f53\u6709\u5bb3\uff0c\u63a7\u5236\u566a\u58f0\u7684\u65b9\u6cd5\u5305\u62ec\uff1a<\/p>\n

                      \n
                    1. \u964d\u4f4e\u566a\u58f0\u6e90\u7684\u5f3a\u5ea6\uff0c\u5982\u51cf\u5c11\u673a\u68b0\u632f\u52a8\u3002<\/li>\n
                    2. \u963b\u65ad\u4f20\u64ad\u9014\u5f84\uff0c\u5982\u4f7f\u7528\u9694\u97f3\u6750\u6599\u3002<\/li>\n
                    3. \u4fdd\u62a4\u53d7\u5f71\u54cd\u8005\uff0c\u5982\u4f69\u6234\u8033\u585e\uff09\u3002<\/li>\n<\/ol>\n

                      5. \u8d85\u58f0\u6ce2\u4e0e\u6b21\u58f0\u6ce2<\/h3>\n

                      \u4eba\u8033\u80fd\u542c\u5230\u7684\u58f0\u97f3\u9891\u7387\u8303\u56f4\u662f \\(20 \\, \\text{Hz} \\sim 20000 \\, \\text{Hz}\\)\u3002\u8d85\u51fa\u6b64\u8303\u56f4\u7684\u58f0\u6ce2\u5206\u4e3a\uff1a<\/p>\n

                        \n
                      • \u8d85\u58f0\u6ce2<\/strong>\uff1a\u9891\u7387 \\(f > 20000 \\, \\text{Hz}\\)\uff0c\u5e38\u7528\u4e8e\u533b\u7597\u548c\u5de5\u4e1a\u3002<\/li>\n
                      • \u6b21\u58f0\u6ce2<\/strong>\uff1a\u9891\u7387 \\(f < 20 \\, \\text{Hz}\\)\uff0c\u5982\u5730\u9707\u6ce2\uff0c\u5e38\u7528\u4e8e\u81ea\u7136\u73b0\u8c61\u7814\u7a76\u3002<\/li>\n<\/ul>\n

                        \u603b\u7ed3<\/h2>\n

                        \u672c\u7ae0\u901a\u8fc7\u58f0\u97f3\u7684\u4ea7\u751f\u3001\u4f20\u64ad\u3001\u7279\u6027\u53ca\u5e94\u7528\uff0c\u5168\u9762\u4ecb\u7ecd\u4e86\u58f0\u5b66\u7684\u57fa\u7840\u77e5\u8bc6\u3002\u638c\u63e1\u58f0\u901f\u516c\u5f0f \\(v = 340 \\, \\text{m\/s}\\)\uff08\u7a7a\u6c14\u4e2d\uff0c\\(15^\\circ \\text{C}\\)\uff09\u3001\u56de\u58f0\u6761\u4ef6\uff08\\(t > 0.1 \\, \\text{s}\\)\uff09\u4ee5\u53ca\u9891\u7387\u4e0e\u97f3\u8c03\u7684\u5173\u7cfb\uff0c\u5c06\u6709\u52a9\u4e8e\u7406\u89e3\u65e5\u5e38\u751f\u6d3b\u4e2d\u7684\u58f0\u73b0\u8c61\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

                        \u5168\u90e8\u5185\u5bb9\u8bf7\u70b9\u51fb\u4e0b\u8f7d\u89c2\u770b\uff1a\u3010\u767e\u5ea6\u7f51\u76d8\u4e0b\u8f7d\u3011 \u4ee5\u4e0b\u662f\u9884\u89c8\u90e8\u5206\uff1a \u7b2c\u4e00\u7ae0 \u58f0 \u5355\u5143\u603b\u7ed3 \u601d\u7ef4\u5bfc\u56fe \u4ee5\u4e0b\u662f\u201c\u58f0\u201d\u8fd9\u4e00\u5355 […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,34],"tags":[],"class_list":["post-205","post","type-post","status-publish","format-standard","hentry","category-uncategorized","category-wlfnj"],"_links":{"self":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/205","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=205"}],"version-history":[{"count":14,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/205\/revisions"}],"predecessor-version":[{"id":222,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/205\/revisions\/222"}],"wp:attachment":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}