97 lines
11 KiB
XML
97 lines
11 KiB
XML
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<title id="title">整除理论：本章知识结构</title>
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<desc id="desc">根据教材扫描图人工重绘的矢量教学示意图。文字与线条可无损缩放。</desc>
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<g font-family="Microsoft YaHei, Noto Sans CJK SC, Arial, sans-serif" fill="#193b32" stroke-linecap="round" stroke-linejoin="round">
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<rect x="330" y="15" width="540" height="60" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="600.0" y="45.0" text-anchor="middle" dominant-baseline="central" font-size="27" fill="#193b32">整除理论</text>
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<rect x="55" y="221.0" width="185" height="70" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="147.5" y="256.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">整除的基本知识</text>
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<text x="450.0" y="159.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-1：分苹果</text>
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<rect x="680" y="100.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="127.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">整除、倍数、约数</text>
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<rect x="680" y="164.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="191.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">整除的性质</text>
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<rect x="290" y="244.0" width="320" height="58" rx="7" fill="white" stroke="#417b63" stroke-width="2"/>
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<text x="450.0" y="273.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-2：苹果丰收</text>
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<path d="M610 273.0 C645 273.0 645 273.0 680 273.0" fill="none" stroke="#417b63" stroke-width="2"/>
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<rect x="680" y="246.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="273.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">快速寻找约数</text>
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<rect x="290" y="328.0" width="320" height="84" rx="7" fill="white" stroke="#417b63" stroke-width="2"/>
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<text x="450.0" y="354.6" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-3：找寻环节</text>
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<text x="450.0" y="385.4" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-4：拍头</text>
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<path d="M610 370.0 C645 370.0 645 370.0 680 370.0" fill="none" stroke="#417b63" stroke-width="2"/>
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<rect x="680" y="343.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="370.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">约数的应用</text>
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<rect x="55" y="531.0" width="185" height="70" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="147.5" y="566.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">质数与合数</text>
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<path d="M240 566.0 C265 566.0 265 521.0 290 521.0" fill="none" stroke="#417b63" stroke-width="2"/>
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<rect x="290" y="492.0" width="320" height="58" rx="7" fill="white" stroke="#417b63" stroke-width="2"/>
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<text x="450.0" y="521.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-5：线性筛素数</text>
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<path d="M610 521.0 C645 521.0 645 489.0 680 489.0" fill="none" stroke="#417b63" stroke-width="2"/>
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<rect x="680" y="462.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="489.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">质数与合数</text>
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<path d="M610 521.0 C645 521.0 645 553.0 680 553.0" fill="none" stroke="#417b63" stroke-width="2"/>
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<rect x="680" y="526.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="553.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">埃氏筛</text>
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<path d="M240 566.0 C265 566.0 265 635.0 290 635.0" fill="none" stroke="#417b63" stroke-width="2"/>
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<rect x="290" y="606.0" width="320" height="58" rx="7" fill="white" stroke="#417b63" stroke-width="2"/>
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<text x="450.0" y="635.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-6：素数密度</text>
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<rect x="680" y="608.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="635.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">区间筛</text>
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<rect x="55" y="838.0" width="185" height="84" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="147.5" y="864.6" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">最大公约数与最</text>
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<text x="147.5" y="895.4" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">小公倍数</text>
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<rect x="290" y="769.0" width="320" height="84" rx="7" fill="white" stroke="#417b63" stroke-width="2"/>
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<text x="450.0" y="795.6" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-7：切木棍</text>
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<text x="450.0" y="826.4" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-8：删数</text>
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<rect x="680" y="720.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="747.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">公约数、公倍数</text>
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<text x="912.5" y="811.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">最大公约数与最小公倍数的性质</text>
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<path d="M610 811.0 C645 811.0 645 875.0 680 875.0" fill="none" stroke="#417b63" stroke-width="2"/>
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<rect x="680" y="848.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="875.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">辗转相除法</text>
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<text x="450.0" y="950.2" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-9：最大公约数和最小公</text>
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<text x="450.0" y="981.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">倍数问题</text>
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<text x="450.0" y="1011.8" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-10：Hankson的趣味题</text>
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<rect x="680" y="922.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="949.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">约数与倍数的综合应用</text>
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<path d="M610 981.0 C645 981.0 645 1013.0 680 1013.0" fill="none" stroke="#417b63" stroke-width="2"/>
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<rect x="680" y="986.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="1013.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">合理枚举约数、倍数</text>
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<rect x="55" y="1146.0" width="185" height="70" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="147.5" y="1181.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">算术基本定理</text>
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<rect x="290" y="1139.0" width="320" height="84" rx="7" fill="white" stroke="#417b63" stroke-width="2"/>
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<text x="450.0" y="1165.6" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-11：分解数字</text>
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<text x="450.0" y="1196.4" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">例21-12：细胞分裂</text>
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<rect x="680" y="1090.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="1117.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">分解质因数</text>
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<rect x="680" y="1154.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="1181.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">除数函数</text>
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<path d="M610 1181.0 C645 1181.0 645 1245.0 680 1245.0" fill="none" stroke="#417b63" stroke-width="2"/>
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<rect x="680" y="1218.0" width="465" height="54" rx="7" fill="#edf5ed" stroke="#417b63" stroke-width="2"/>
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<text x="912.5" y="1245.0" text-anchor="middle" dominant-baseline="central" font-size="22" fill="#193b32">除数和函数</text>
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