{"id":1778,"date":"2020-08-14T15:14:41","date_gmt":"2020-08-14T07:14:41","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/?page_id=1778"},"modified":"2020-08-28T13:51:56","modified_gmt":"2020-08-28T05:51:56","slug":"solving-equation-basic","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/solving-equation-basic\/","title":{"rendered":"1. \u89e3\u65b9\u7a0b > \u89e3\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b"},"content":{"rendered":"\t\t
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1.2 \u89e3\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b<\/h2>

\u89e3\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\u5605\u984c\u76ee\u5176\u5be6\u5927\u5bb6\u5df2\u7531\u7d30\u505a\u5230\u5927\u3002<\/span>
\u505a\u5f97\u5514\u597d\u5605\u539f\u56e0\u4e00\u822c\u569f\u8b1b\u90fd\u4fc2\u56e0\u70ba\u540c\u5b78\u898b\u5230\u689d\u984c\u76ee\u6642\u201c\u4e82\u505a\u201d\u3002<\/span><\/h4>

\u518d\u96e3\u5605\u65b9\u7a0b\u5176\u5be6\u90fd\u53ef\u900f\u904e\u4e00D\u56fa\u5b9a\u5605\u65b9\u6cd5\u569f\u5c07\u4f62\u7c21\u5316\u3002
\u5982\u679c\u7528\u6253\u6a5f\u569f\u505a\u6bd4\u55bb\uff0c\u89e3\u65b9\u7a0b\u53ef\u5206\u6210\u4ee5\u4e0b\u5e7e\u500blevel\uff1a<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t

\n\t\t\t\t
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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\tLevel 1<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t

Level 1.0<\/h4>

\\(\\quad 3x = 6 \\)<\/p>

\u6211\u8ad7\u6240\u6709\u540c\u5b78\u90fd\u77e5\u9053\u3000\u201cx\u7b49\u65bc 6 \u9664 3\u201d\u3002\u5373\u00a0 \\( \\quad\u00a0\u00a0 x = \\dfrac{6}{3} = 2 \\)<\/p>

Level cleared!<\/span><\/p>

Level 1.1<\/h4>

\\(\\quad 2x = \\dfrac{7}{3} \\)<\/p>

\u5176\u5be6\u9019\u689d\u76ee\u8ddf\u201c3x = 6\u201d\u4fc2\u4e00\u6a23\u5605\uff0c\u53ea\u4fc2\u6578\u5b57\u8b8a\u5497\u3002\u7531\u201c3<\/u>x \u7b49\u65bc 6<\/u>\u201d\u8b8a\u6210\u201c2<\/u>x \u7b49\u65bc 2<\/u>\u4efd\u4e4b7<\/u>\u201d\u3002 \u6240\u4ee5<\/p>

\\(\\quad x = \\dfrac{7}{3} \\div 2 = \\dfrac{7}{3} \\times \\dfrac{1}{2}\u00a0 = \\dfrac{7}{6} \\)<\/p>

\u8acb\u540c\u5b78\u78ba\u4fdd\u81ea\u5df1\u8b58\u5f97\u9ede\u7528\u8a08\u6578\u6a5f\u8a08\u5230\u4ee5\u4e0a\u7b54\u6848\uff01<\/p>

Level cleared!<\/span><\/p>

Level 1.2<\/h4>

\\(\\quad \\dfrac{x}{4} = \\dfrac{7}{2}\\)<\/p>

\u5176\u5be6\u4f9d\u689d\u984c\u76ee\u540c\u201c \\(2x = \\dfrac{7}{3} \\)\u201d\u53c8\u4fc2\u4e00\u6a23\uff0c\u53ea\u4fc2\u201c\\(2x\\)\u201d\u8b8a\u5497\u505a\u201c\\(\\dfrac{x}{4}\\) \u201d\u3002\u55ba\u5ea6\u540c\u5b78\u53ef\u4ee5\u7528\u201c\u4ea4\u4e49\u76f8\u4e58\u201d\u569f\u5316\u7c21\u689d\u6578\u5f0f\uff01\uff01<\/strong><\/p>

\u201c\u4ea4\u4e49\u76f8\u4e58\u201d\u5605\u65b9\u6cd5\u4fc2\u597d\u4f3c\u53f3\u5716\u5481\u6a23\u5605\u3002\u00a0 \u00a0\u00a0\u00a0 \"\u4ea4\u53c9\u76f8\u4e58\"<\/a><\/strong><\/p>

\u201c\u4ea4\u53c9\u76f8\u4e58\u201d\u5f8c\u689d\u6578\u5f0f\u8b8a\u6210\u00a0\u00a0 \\( 2x = 28\\)\u3002 \u4e00\u7747\u53c8\u4fc2\u4e00\u689d level 1.0\u5605\u984c\u76ee\u3002<\/p>

\u7576\u7136\uff0c\u540c\u5b78\u5927\u53ef\u5c31\u5481\u628a\u5de6\u908a\u5206\u6bcd\u76844\u642c\u53bb\u53f3\u908a\uff0c\u8b8a\u6210
\\( x = \\dfrac{7}{2} \\times 4 = 14\\)\u3002\u55ba\u4f9d\u5ea6\uff0c\u6211\u5605\u91cd\u9ede\u4fc2\u4ee4\u5927\u5bb6\u77e5\u9053\u5176\u5be6\u8a08\u569f\u8a08\u53bb,D\u89e3\u65b9\u7a0b\u90fd\u4fc2\u53ef\u4ee5\u4e00\u6b65\u6b65\u5481\u53bb\u89e3\u3002<\/p>

Level cleared!<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t

\n\t\t\t\t\t
\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\tLevel 2 (\u79fb\u9805)<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t

Level 2.0<\/h4>

\\(\\quad 4x + 6 = 9 \\)<\/p>

\u55ba\u5ea6\uff0c\u6211\u54cb\u9808\u8981\u7528\u79fb\u9805\u5605\u65b9\u6cd5\u5c07\u201c\u540c\u985e\u9805\u201d\u653e\u57cb\u540c\u4e00\u908a\uff0c\u5373\u4fc2\uff1a
\\(\\quad 4x = 9 {\\color{Red} – 6 } \\)<\/p>

\u6eab\u7fd2\uff1a\u7576\u6211\u54cb\u79fb\u201c\u52a0\u6e1b\u201d\u5605\u9805\u6578\u53bb\u201c\uff1d\u201d\u5605\u53e6\u4e00\u908a\u6642\uff0c\u6211\u54cb\u8981\u201c\u52a0\u8b8a\u6e1b\u3001\u6e1b\u8b8a\u52a0\u201d\u3002 \u4e0b\u4e00\u6b65\u8a08\u57cb\u201c\\(9 – 6\\)\u201d\uff0c\u5c31\u5f97\u5230
\\(\\quad 4x = 3 \\)<\/p>

\u53c8\u4fc2\u4e00\u689dlevel 1.0\u5605\u984c\u76ee\uff01\uff01 \u7b54\u6848\uff1a \\(x = \\dfrac{3}{4}\\)<\/p>

Level cleared!<\/span><\/p>

Level 2.1<\/h4>

\\(\\quad 4x \u2013 5 = 8x + 7\\)<\/p>

\u55ba\u5ea6\uff0c\u6211\u54cb\u4e00\u6a23\u8981\u5148\u7528\u79fb\u9805\u5605\u65b9\u6cd5\u5c07\u540c\u985e\u9805\u653e\u57cb\u4e00\u9f4a\uff08\u5373x\u55ba\u4e00\u908a\uff0c\u6578\u5b57\u55ba\u53e6\u4e00\u908a\uff09\uff0c
\\(\\quad 4x \u2013 8x = 7 + 5\\)<\/p>

\u7559\u610f\u3000\u201c\uff0d5\u79fb\u53bb\u53e6\u4e00\u908a\u8b8a\u6210\uff0b5\u201d\uff0c\u201c8x\u79fb\u53bb\u53e6\u4e00\u908a\u8b8a\u6210\uff0d8x\u201d\u3002<\/p>

\u7e7c\u7e8c\u8a08\u57cb\u689d\u6578\uff1a
\\(\\quad -4x = 12\\)
\u99ac\u4e0a\u8b8a\u6210\u4e00\u689dlevel 1\u5605\u984c\u76ee\uff01
\\(\\quad x = \\dfrac{12}{-4} = -3\\)<\/p>

Level cleared!<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t

\n\t\t\t\t\t
\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\tLevel 3 (\u89e3\u6c7a\u8a0e\u53ad\u7684\u4efd\u6578)<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t

Level 3.0<\/h4>

\\(\\quad \\dfrac{1}{2}x + 5 = 3x + \\dfrac{1}{4}\\)<\/p>

\u540c\u5b78\u53ef\u4ee5\u7528level2\u5605\u6280\u5de7\u505a\u4f9d\u689d\u6578\uff0c\u505a\u6cd5\u5982\u4e0b\uff1a<\/p>

\\(\\begin{align}
\\dfrac{1}{2}x + 5 & = 3x + \\dfrac{1}{4} \\\\
\\dfrac{1}{2}x – 3x & = \\dfrac{1}{4} -5 \\\\
-2.5x & = -47.5 \\quad \\quad (\u6211\u4fc2\u7528\u8a08\u7b97\u6a5f\u8a08\\dfrac{1}{4} – 5\u5605) \\\\
x & = 1.9 \\quad \\quad \\quad (\u53c8\u4fc2\u7528\u8a08\u7b97\u6a5f\u8a08\u5605!!)
\\end{align}\\)<\/p>

\u7576\u6211\u5730\u898b\u5230\u4efd\u6578\u6642\uff0c\u5176\u5be6\u540c\u5b78\u4ea6\u53ef\u4ee5\u7528\u201c\u5168\u689d\u5f0f\u4e58\u4e00\u500b\u6578\u5b57\u201d\u5605\u65b9\u6cd5\u569f\u5148\u5c07\u984c\u76ee\u7c21\u5316\u3002<\/p>

\u7528\u8fd4\u4e0a\u9762\u5605\u4f8b\u5b50\uff1a\u984c\u76ee\u4e2d\u7684\u4efd\u6bcd\u67092\u53ca4\uff0c\u6240\u4ee5\u6211\u5011\u4e584\u3002\u5373<\/p>

\\(\\begin{align}
4 \\times \\left ( \\dfrac{1}{2}x + 5 \\right ) & = 4 \\times \\left ( 3x + \\dfrac{1}{4} \\right ) \\\\
4 \\times \\dfrac{1}{2}x + 4 \\times 5 & = 4 \\times 3x + 4 \\times \\dfrac{1}{4} \\\\
2x + 20 & = 12x + 1 \\\\
\\end{align}\\)<\/p>

\u5481\u5c31\u53c8\u8b8a\u6210\u4e00\u689dlevel 2\u5605\u984c\u76ee! \u76f8\u4fe1\u5927\u5bb6\u90fd\u61c9\u8b58\u9ede\u61c9\u4ed8level 2\u5605\u984c\u76ee\u4e86\u3002<\/p>

\u7559\u610f\u55ba\u62c6\u62ec\u865f\u5605\u6642\u5019\uff0c\u6bcf\u4e00\u9805\u90fd\u8981\u4e58\uff14\u3002
\u597d\u591a\u540c\u5b78\u6709\u6642\u6703\u72af\u4ee5\u4e0b\u5605\u932f\uff1a<\/p>

\\(\\begin{align}
4 \\times \\left ( \\dfrac{1}{2}x + 5 \\right ) & = 4 \\times \\left ( 3x + \\dfrac{1}{4} \\right ) \\\\
4 \\times \\dfrac{1}{2}x +{\\color{Red} 5 } & = 4 \\times 3x + {\\color{Red} \\dfrac{1}{4} }
\\end{align}\\)<\/p>

** \u4e0a\u9762\u7d05\u8272\u7684\u90e8\u4efd\u55ba\u62c6\u62ec\u865f\u6642\u5187\u4e58\uff14\uff0c\u6240\u4ee5\u932f!!<\/p>

Level cleared!<\/span><\/p>

Level 3.1<\/h4>

\\( \\dfrac{1}{6}x + 5 = \\dfrac{2}{9}x + 1\\)<\/p>

\u898b\u5230\u4efd\u6bcd\u67096\u540c9\uff0c\u5481\u6211\u54cb\u5230\u5e95\u8981\u4e58\u54a9\u6578\u5b57\u5462\uff1f<\/span><\/p>