{"id":1471,"date":"2020-07-20T23:23:23","date_gmt":"2020-07-20T15:23:23","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/?page_id=1471"},"modified":"2020-11-02T23:43:02","modified_gmt":"2020-11-02T15:43:02","slug":"indices","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/indices\/","title":{"rendered":"2. \u6307\u6578 (Indices)"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1471\" class=\"elementor elementor-1471\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c027a7a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c027a7a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-3e29e08\" data-id=\"3e29e08\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b95edd7 elementor-widget elementor-widget-text-editor\" data-id=\"b95edd7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>2.1\u00a0 \u57fa\u790e\u77e5\u8b58 \uff0d \u6b63\u6574\u6578\u6307\u6578\u5b9a\u5f8b<\/h2><p>\u8acb\u540c\u5b78\u5148\u6eab\u7fd2\u201c\u521d\u4e2d\u6578\u5b78 &#8211; \u4e2d\u4e00\u7bc7\u201d\u7684\u201c<a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form1_maths\/laws-of-integral-indices\/\">\u6307\u6578\u53ca\u9032\u5236<\/a>\u201d\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8bbd4b9 elementor-widget elementor-widget-text-editor\" data-id=\"8bbd4b9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>2.2\u00a0 \u96f6\u6307\u6578<\/h2><p>\u7576a\u22600\u6642\uff0c<\/p><ul><li style=\"list-style-type: none;\"><ul><li>a<sup>0<\/sup> = 1<\/li><\/ul><\/li><\/ul><p>\u5373\u4efb\u4f55\u5514\u4fc2\u96f6\u5605\u6578\u503c\uff0c\u7576\u6307\u6578\u4fc2\u96f6\u5605\u6642\u5019\uff0c\u500b\u6578\u90fd\u6703\u8b8a\u62101\u3002<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-22f3c1b elementor-widget elementor-widget-text-editor\" data-id=\"22f3c1b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>2.3\u00a0 \u8ca0\u6574\u6578\u6307\u6578<\/h2><p>\u7576a\u22600\u548cn\u662f\u6b63\u6574\u6578\uff08\u5373 \u2013n\u662f\u8ca0\u6574\u6578\uff09\u6642\uff0c<\/p><ul><li style=\"list-style-type: none;\"><ul><li>\\( a^{-n} = \\dfrac{1}{a^{n}} \\)<\/li><li>\\(\\dfrac{1}{a^{-n}} =\u00a0 a^{n}\u00a0 \\)<\/li><\/ul><\/li><\/ul><p>\u7c21\u55ae\u569f\u8b1b\uff0c\u7576\u4e00\u500b\u6578\u5605\u6307\u6578\u4fc2\u8ca0\u6578\u6642\uff0c\u6211\u5730\u53ef\u4ee5\u7576<\/p><ul><li style=\"list-style-type: none;\"><ul><li>\u5982\u6578\u5b57\u4fc2\u55ba\u4efd\u5b50\u4e2d\uff0c\u5c07\u4f62\u642c\u53bb\u4efd\u6bcd\u3002<\/li><li>\u5982\u6578\u5b57\u4fc2\u55ba\u4efd\u6bcd\u4e2d\uff0c\u5c07\u4f62\u642c\u53bb\u4efd\u5b50\u3002<\/li><li>\u7576\u500b\u6578\u7531<\/li><\/ul><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8bc7a3c elementor-widget elementor-widget-text-editor\" data-id=\"8bc7a3c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>2.4\u00a0 \u79d1\u5b78\u8a18\u6578\u6cd5\uff08Scientific Notation\uff09<\/h2><p>\u79d1\u5b78\u8a18\u6578\u6cd5\u662f\u4e00\u500b\u65b9\u4fbf\u8868\u9054\u4e00\u500b\u5f88\u5927\uff08\u6216\u5f88\u7d30\uff09\u7684\u6578\u76ee\u7684\u4e00\u500b\u7d71\u4e00\u8868\u9054\u65b9\u5f0f\u3002<\/p><p>\u5728\u79d1\u5b78\u8a18\u6578\u6cd5\u4e2d\uff0c\u4e00\u500b\u6578\u6703\u88ab\u5beb\u6210\u4e00\u500b\u201c1\u820710\u4e4b\u9593\u7684\u5be6\u6578\uff08\u5c3e\u6578\uff09\u201d\u8207\u4e00\u500b\u201c10\u7684\u51aa\u201d\u7684\u7a4d\u3002<\/p><p>\u4f8b\u5b501\uff1a\u00a0\u00a0\u00a0 \u4ee5\u79d1\u5b78\u8a18\u6578\u6cd5\u8868\u793a234000<br \/>\u89e3\uff1a\u3000234000= 2.34 x 100000 = 2.34 x 10<sup>5<\/sup> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p><ul><li style=\"list-style-type: none;\"><ul><li>\u8a3b\uff1a\u5c3e\u6578=2.34\u300010\u7684\u51aa=10<sup>5<\/sup><\/li><\/ul><\/li><\/ul><p>\u4f8b\u5b502\uff1a\u00a0\u00a0\u00a0 \u4ee5\u79d1\u5b78\u8a18\u6578\u6cd5\u8868\u793a 0.0345<br \/>\u89e3\uff1a\u30000.0345 = 3.45 x 0.01 = 3.45 x 10<sup>\uff0d2<\/sup> \u00a0\u00a0\u00a0\u00a0 <\/p><ul><li style=\"list-style-type: none;\"><ul><li>\u8a3b\uff1a\u5c3e\u6578=3.45\u300010\u7684\u51aa=10<sup>\uff0d2<\/sup><\/li><\/ul><\/li><\/ul><p><span style=\"text-decoration: underline;\"><strong>\u6280\u5de7\uff1a<\/strong><\/span><\/p><ul><li>\u7576\u6211\u5011\u628a\u4e00\u500b\u6578\u4e58\u4ee510<sup>n<\/sup>\uff0c\u8868\u793a\u628a\u8a72\u6578\u7684\u5c0f\u6578\u9ede\u5411\u53f3\u79fbn\u500b\u4f4d\u3002<\/li><li>\u7576\u6211\u5011\u628a\u4e00\u500b\u6578\u4e58\u4ee510<sup>\uff0dn<\/sup>\uff0c\u8868\u793a\u628a\u8a72\u6578\u7684\u5c0f\u6578\u9ede\u5411\u5de6n\u500b\u4f4d\u3002<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-884254a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"884254a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-1d6398c\" data-id=\"1d6398c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c4323a1 elementor-widget elementor-widget-text-editor\" data-id=\"c4323a1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/inequalities\/\"><i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i> \u4e0d\u7b49\u5f0f<\/a>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-03367d8\" data-id=\"03367d8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-88e3fa4\" data-id=\"88e3fa4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1b616e4 elementor-widget elementor-widget-text-editor\" data-id=\"1b616e4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: right;\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/use-of-percentage\/\">\u767e\u4efd\u6cd5 <i class=\"far fa-arrow-alt-circle-right\" aria-hidden=\"true\"><\/i><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2f4293c\" data-id=\"2f4293c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-299f558 elementor-widget elementor-widget-sidebar\" data-id=\"299f558\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"sidebar.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"sidebar-box widget-oceanwp-custom-menu custom-menu-widget clr\"><style type=\"text\/css\">.ocean_custom_menu-4 > ul > li > a, .custom-menu-widget .ocean_custom_menu-4 .dropdown-menu .sub-menu li a.menu-link{font-size:16px;line-height:17px;}.custom-menu-widget .ocean_custom_menu-4.oceanwp-custom-menu > ul.click-menu .open-this{font-size:16px;}<\/style><h4 class=\"widget-title\">\u4e2d\u4e09\u6578\u5b78\u3010\u76ee\u9304\u3011<\/h4><div class=\"oceanwp-custom-menu clr ocean_custom_menu-4 left dropdown-hover\"><ul id=\"menu-form3mathstopics\" class=\"dropdown-menu sf-menu\"><li  id=\"menu-item-1543\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1543\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/inequalities\/\" class=\"menu-link\">1. \u4e0d\u7b49\u5f0f (Inequalities)<\/a><\/li>\n<li  id=\"menu-item-1542\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1542\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/indices\/\" class=\"menu-link\">2. \u6307\u6578 (Indices)<\/a><\/li>\n<li  id=\"menu-item-1541\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1541\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/use-of-percentage\/\" class=\"menu-link\">3. \u767e\u4efd\u6cd5  (Use of Percentage)<\/a><\/li>\n<li  id=\"menu-item-1540\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1540\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/rational-irrational-numbers\/\" class=\"menu-link\">4. \u6709\u7406\u6578\u53ca\u7121\u7406\u6578 (Rational &#038; Irrational Numbers)<\/a><\/li>\n<li  id=\"menu-item-1539\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1539\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/deductive-geometry\/\" class=\"menu-link\">5. \u6f14\u7e79\u5e7e\u4f55 (Deductive Geometry)<\/a><\/li>\n<li  id=\"menu-item-1538\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1538\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/quadrilateral\/\" class=\"menu-link\">6. \u56db\u908a\u5f62 (Quadrilateral)<\/a><\/li>\n<li  id=\"menu-item-1537\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1537\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/area-volume\/\" class=\"menu-link\">7. \u9762\u7a4d\u8207\u9ad4\u7a4d (Area &#038; Volume)<\/a><\/li>\n<li  id=\"menu-item-1536\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1536\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/coordinate-geometry\/\" class=\"menu-link\">8. \u5750\u6a19\u5e7e\u4f55 (Coordinate Geometry)<\/a><\/li>\n<li  id=\"menu-item-1535\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1535\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/trigonometry\/\" class=\"menu-link\">9. \u4e09\u89d2\u5b78 (Trigonometry)<\/a><\/li>\n<li  id=\"menu-item-1534\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1534\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/applications-of-trigonometry\/\" class=\"menu-link\">10. \u4e09\u89d2\u6bd4\u7684\u61c9\u7528 (Applications of Trigonometry)<\/a><\/li>\n<li  id=\"menu-item-1533\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1533\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/probability\/\" class=\"menu-link\">11. \u6982\u7387 (Probability)<\/a><\/li>\n<li  id=\"menu-item-1532\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1532\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/statistics-measure-of-central-tendency\/\" class=\"menu-link\">12. \u7d71\u8a08 \u2013 \u96c6\u4e2d\u8da8\u52e2\u7684\u91cf\u5ea6 (Measure of Central Tendency)<\/a><\/li>\n<li  id=\"menu-item-1625\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1625\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form3_maths\/centers-of-triangles\/\" class=\"menu-link\">13. \u4e09\u89d2\u5f62\u7684\u5fc3 (Centers of Triangles)<\/a><\/li>\n<li  id=\"menu-item-16136\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-16136\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/exam_papers\/\" class=\"menu-link\">*** \u521d\u4e2d\u8a66\u5377 \/ \u8a66\u984c\u5eab ***<\/a><\/li>\n<\/ul><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>2.1\u00a0 \u57fa\u790e\u77e5\u8b58 \uff0d \u6b63\u6574\u6578\u6307\u6578\u5b9a\u5f8b \u8acb\u540c\u5b78\u5148\u6eab\u7fd2\u201c\u521d\u4e2d\u6578\u5b78 &#8211; \u4e2d\u4e00\u7bc7\u201d\u7684\u201c\u6307\u6578\u53ca\u9032\u5236\u201d\u3002 2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1463,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"ocean_front_end_style_editor":"no","ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-1471","page","type-page","status-publish","hentry","entry"],"yoast_head":"<!-- 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