数学公式,小学到初中的 小学到初中数学公式大全
\u6c42\uff1a\u6570\u5b66\u516c\u5f0f\u5927\u5168\uff08\u5c0f\u5b66\u81f3\u521d\u4e2d\uff09\u8be6\u7ec6\uff011\u3001 \u6bcf\u4efd\u6570\u00d7\u4efd\u6570\uff1d\u603b\u6570 \u603b\u6570\u00f7\u6bcf\u4efd\u6570\uff1d\u4efd\u6570\u603b\u6570\u00f7\u4efd\u6570\uff1d\u6bcf\u4efd\u6570
2\u3001 1\u500d\u6570\u00d7\u500d\u6570\uff1d\u51e0\u500d\u6570 \u51e0\u500d\u6570\u00f71\u500d\u6570\uff1d\u500d\u6570\u51e0\u500d\u6570\u00f7\u500d\u6570\uff1d1\u500d\u6570
3\u3001 \u901f\u5ea6\u00d7\u65f6\u95f4\uff1d\u8def\u7a0b \u8def\u7a0b\u00f7\u901f\u5ea6\uff1d\u65f6\u95f4 \u8def\u7a0b\u00f7\u65f6\u95f4\uff1d\u901f\u5ea6
4\u3001 \u5355\u4ef7\u00d7\u6570\u91cf\uff1d\u603b\u4ef7 \u603b\u4ef7\u00f7\u5355\u4ef7\uff1d\u6570\u91cf \u603b\u4ef7\u00f7\u6570\u91cf\uff1d\u5355\u4ef7
5\u3001 \u5de5\u4f5c\u6548\u7387\u00d7\u5de5\u4f5c\u65f6\u95f4\uff1d\u5de5\u4f5c\u603b\u91cf \u5de5\u4f5c\u603b\u91cf\u00f7\u5de5\u4f5c\u6548\u7387\uff1d\u5de5\u4f5c\u65f6\u95f4\u5de5\u4f5c\u603b\u91cf\u00f7\u5de5\u4f5c\u65f6\u95f4\uff1d\u5de5\u4f5c\u6548\u7387
6\u3001 \u52a0\u6570\uff0b\u52a0\u6570\uff1d\u548c \u548c\uff0d\u4e00\u4e2a\u52a0\u6570\uff1d\u53e6\u4e00\u4e2a\u52a0\u6570
7\u3001 \u88ab\u51cf\u6570\uff0d\u51cf\u6570\uff1d\u5dee \u88ab\u51cf\u6570\uff0d\u5dee\uff1d\u51cf\u6570 \u5dee\uff0b\u51cf\u6570\uff1d\u88ab\u51cf\u6570
8\u3001 \u56e0\u6570\u00d7\u56e0\u6570\uff1d\u79ef \u79ef\u00f7\u4e00\u4e2a\u56e0\u6570\uff1d\u53e6\u4e00\u4e2a\u56e0\u6570
9\u3001 \u88ab\u9664\u6570\u00f7\u9664\u6570\uff1d\u5546 \u88ab\u9664\u6570\u00f7\u5546\uff1d\u9664\u6570 \u5546\u00d7\u9664\u6570\uff1d\u88ab\u9664\u6570
\u5c0f\u5b66\u6570\u5b66\u56fe\u5f62\u8ba1\u7b97\u516c\u5f0f
1 \u3001\u6b63\u65b9\u5f62 C\u5468\u957f S\u9762\u79ef a\u8fb9\u957f \u5468\u957f\uff1d\u8fb9\u957f\u00d74 C=4a \u9762\u79ef=\u8fb9\u957f\u00d7\u8fb9\u957f S=a\u00d7a
2 \u3001\u6b63\u65b9\u4f53 V:\u4f53\u79ef a:\u68f1\u957f \u8868\u9762\u79ef=\u68f1\u957f\u00d7\u68f1\u957f\u00d76 S\u8868=a\u00d7a\u00d76 \u4f53\u79ef=\u68f1\u957f\u00d7\u68f1\u957f\u00d7\u68f1\u957f V=a\u00d7a\u00d7a
3 \u3001\u957f\u65b9\u5f62
C\u5468\u957f S\u9762\u79ef a\u8fb9\u957f
\u5468\u957f=(\u957f+\u5bbd)\u00d72
C=2(a+b)
\u9762\u79ef=\u957f\u00d7\u5bbd
S=ab
4 \u3001\u957f\u65b9\u4f53
V:\u4f53\u79ef s:\u9762\u79ef a:\u957f b: \u5bbd h:\u9ad8
(1)\u8868\u9762\u79ef(\u957f\u00d7\u5bbd+\u957f\u00d7\u9ad8+\u5bbd\u00d7\u9ad8)\u00d72
S=2(ab+ah+bh)
(2)\u4f53\u79ef=\u957f\u00d7\u5bbd\u00d7\u9ad8
V=abh
5 \u4e09\u89d2\u5f62
s\u9762\u79ef a\u5e95 h\u9ad8
\u9762\u79ef=\u5e95\u00d7\u9ad8\u00f72
s=ah\u00f72
\u4e09\u89d2\u5f62\u9ad8=\u9762\u79ef \u00d72\u00f7\u5e95
\u4e09\u89d2\u5f62\u5e95=\u9762\u79ef \u00d72\u00f7\u9ad8
6 \u5e73\u884c\u56db\u8fb9\u5f62
s\u9762\u79ef a\u5e95 h\u9ad8
\u9762\u79ef=\u5e95\u00d7\u9ad8
s=ah
7 \u68af\u5f62
s\u9762\u79ef a\u4e0a\u5e95 b\u4e0b\u5e95 h\u9ad8
\u9762\u79ef=(\u4e0a\u5e95+\u4e0b\u5e95)\u00d7\u9ad8\u00f72
s=(a+b)\u00d7 h\u00f72
8 \u5706\u5f62
S\u9762\u79ef C\u5468\u957f \u220f d=\u76f4\u5f84 r=\u534a\u5f84
(1)\u5468\u957f=\u76f4\u5f84\u00d7\u220f=2\u00d7\u220f\u00d7\u534a\u5f84
C=\u220fd=2\u220fr
(2)\u9762\u79ef=\u534a\u5f84\u00d7\u534a\u5f84\u00d7\u220f
9 \u5706\u67f1\u4f53
v:\u4f53\u79ef h:\u9ad8 s;\u5e95\u9762\u79ef r:\u5e95\u9762\u534a\u5f84 c:\u5e95\u9762\u5468\u957f
(1)\u4fa7\u9762\u79ef=\u5e95\u9762\u5468\u957f\u00d7\u9ad8
(2)\u8868\u9762\u79ef=\u4fa7\u9762\u79ef+\u5e95\u9762\u79ef\u00d72
(3)\u4f53\u79ef=\u5e95\u9762\u79ef\u00d7\u9ad8
\uff084\uff09\u4f53\u79ef\uff1d\u4fa7\u9762\u79ef\u00f72\u00d7\u534a\u5f84
10 \u5706\u9525\u4f53
v:\u4f53\u79ef h:\u9ad8 s;\u5e95\u9762\u79ef r:\u5e95\u9762\u534a\u5f84
\u4f53\u79ef=\u5e95\u9762\u79ef\u00d7\u9ad8\u00f73
\u603b\u6570\u00f7\u603b\u4efd\u6570\uff1d\u5e73\u5747\u6570
\u548c\u5dee\u95ee\u9898\u7684\u516c\u5f0f
(\u548c\uff0b\u5dee)\u00f72\uff1d\u5927\u6570
(\u548c\uff0d\u5dee)\u00f72\uff1d\u5c0f\u6570
\u548c\u500d\u95ee\u9898
\u548c\u00f7(\u500d\u6570\uff0d1)\uff1d\u5c0f\u6570
\u5c0f\u6570\u00d7\u500d\u6570\uff1d\u5927\u6570
(\u6216\u8005 \u548c\uff0d\u5c0f\u6570\uff1d\u5927\u6570)
\u5dee\u500d\u95ee\u9898
\u5dee\u00f7(\u500d\u6570\uff0d1)\uff1d\u5c0f\u6570
\u5c0f\u6570\u00d7\u500d\u6570\uff1d\u5927\u6570
(\u6216 \u5c0f\u6570\uff0b\u5dee\uff1d\u5927\u6570)
\u690d\u6811\u95ee\u9898
1 \u975e\u5c01\u95ed\u7ebf\u8def\u4e0a\u7684\u690d\u6811\u95ee\u9898\u4e3b\u8981\u53ef\u5206\u4e3a\u4ee5\u4e0b\u4e09\u79cd\u60c5\u5f62:
\u2474\u5982\u679c\u5728\u975e\u5c01\u95ed\u7ebf\u8def\u7684\u4e24\u7aef\u90fd\u8981\u690d\u6811,\u90a3\u4e48:
\u682a\u6570\uff1d\u6bb5\u6570\uff0b1\uff1d\u5168\u957f\u00f7\u682a\u8ddd\uff0d1
\u5168\u957f\uff1d\u682a\u8ddd\u00d7(\u682a\u6570\uff0d1)
\u682a\u8ddd\uff1d\u5168\u957f\u00f7(\u682a\u6570\uff0d1)
\u2475\u5982\u679c\u5728\u975e\u5c01\u95ed\u7ebf\u8def\u7684\u4e00\u7aef\u8981\u690d\u6811,\u53e6\u4e00\u7aef\u4e0d\u8981\u690d\u6811,\u90a3\u4e48:
\u682a\u6570\uff1d\u6bb5\u6570\uff1d\u5168\u957f\u00f7\u682a\u8ddd
\u5168\u957f\uff1d\u682a\u8ddd\u00d7\u682a\u6570
\u682a\u8ddd\uff1d\u5168\u957f\u00f7\u682a\u6570
\u2476\u5982\u679c\u5728\u975e\u5c01\u95ed\u7ebf\u8def\u7684\u4e24\u7aef\u90fd\u4e0d\u8981\u690d\u6811,\u90a3\u4e48:
\u682a\u6570\uff1d\u6bb5\u6570\uff0d1\uff1d\u5168\u957f\u00f7\u682a\u8ddd\uff0d1
\u5168\u957f\uff1d\u682a\u8ddd\u00d7(\u682a\u6570\uff0b1)
\u682a\u8ddd\uff1d\u5168\u957f\u00f7(\u682a\u6570\uff0b1)
2 \u5c01\u95ed\u7ebf\u8def\u4e0a\u7684\u690d\u6811\u95ee\u9898\u7684\u6570\u91cf\u5173\u7cfb\u5982\u4e0b
\u682a\u6570\uff1d\u6bb5\u6570\uff1d\u5168\u957f\u00f7\u682a\u8ddd
\u5168\u957f\uff1d\u682a\u8ddd\u00d7\u682a\u6570
\u682a\u8ddd\uff1d\u5168\u957f\u00f7\u682a\u6570
\u76c8\u4e8f\u95ee\u9898
(\u76c8\uff0b\u4e8f)\u00f7\u4e24\u6b21\u5206\u914d\u91cf\u4e4b\u5dee\uff1d\u53c2\u52a0\u5206\u914d\u7684\u4efd\u6570
(\u5927\u76c8\uff0d\u5c0f\u76c8)\u00f7\u4e24\u6b21\u5206\u914d\u91cf\u4e4b\u5dee\uff1d\u53c2\u52a0\u5206\u914d\u7684\u4efd\u6570
(\u5927\u4e8f\uff0d\u5c0f\u4e8f)\u00f7\u4e24\u6b21\u5206\u914d\u91cf\u4e4b\u5dee\uff1d\u53c2\u52a0\u5206\u914d\u7684\u4efd\u6570
\u76f8\u9047\u95ee\u9898
\u76f8\u9047\u8def\u7a0b\uff1d\u901f\u5ea6\u548c\u00d7\u76f8\u9047\u65f6\u95f4
\u76f8\u9047\u65f6\u95f4\uff1d\u76f8\u9047\u8def\u7a0b\u00f7\u901f\u5ea6\u548c
\u901f\u5ea6\u548c\uff1d\u76f8\u9047\u8def\u7a0b\u00f7\u76f8\u9047\u65f6\u95f4
\u8ffd\u53ca\u95ee\u9898
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\u901f\u5ea6\u5dee\uff1d\u8ffd\u53ca\u8ddd\u79bb\u00f7\u8ffd\u53ca\u65f6\u95f4
\u6d41\u6c34\u95ee\u9898
\u987a\u6d41\u901f\u5ea6\uff1d\u9759\u6c34\u901f\u5ea6\uff0b\u6c34\u6d41\u901f\u5ea6
\u9006\u6d41\u901f\u5ea6\uff1d\u9759\u6c34\u901f\u5ea6\uff0d\u6c34\u6d41\u901f\u5ea6
\u9759\u6c34\u901f\u5ea6\uff1d(\u987a\u6d41\u901f\u5ea6\uff0b\u9006\u6d41\u901f\u5ea6)\u00f72
\u6c34\u6d41\u901f\u5ea6\uff1d(\u987a\u6d41\u901f\u5ea6\uff0d\u9006\u6d41\u901f\u5ea6)\u00f72
\u6d53\u5ea6\u95ee\u9898
\u6eb6\u8d28\u7684\u91cd\u91cf\uff0b\u6eb6\u5242\u7684\u91cd\u91cf\uff1d\u6eb6\u6db2\u7684\u91cd\u91cf
\u6eb6\u8d28\u7684\u91cd\u91cf\u00f7\u6eb6\u6db2\u7684\u91cd\u91cf\u00d7100%\uff1d\u6d53\u5ea6
\u6eb6\u6db2\u7684\u91cd\u91cf\u00d7\u6d53\u5ea6\uff1d\u6eb6\u8d28\u7684\u91cd\u91cf
\u6eb6\u8d28\u7684\u91cd\u91cf\u00f7\u6d53\u5ea6\uff1d\u6eb6\u6db2\u7684\u91cd\u91cf
\u5229\u6da6\u4e0e\u6298\u6263\u95ee\u9898
\u5229\u6da6\uff1d\u552e\u51fa\u4ef7\uff0d\u6210\u672c
\u5229\u6da6\u7387\uff1d\u5229\u6da6\u00f7\u6210\u672c\u00d7100%\uff1d(\u552e\u51fa\u4ef7\u00f7\u6210\u672c\uff0d1)\u00d7100%
\u6da8\u8dcc\u91d1\u989d\uff1d\u672c\u91d1\u00d7\u6da8\u8dcc\u767e\u5206\u6bd4
\u6298\u6263\uff1d\u5b9e\u9645\u552e\u4ef7\u00f7\u539f\u552e\u4ef7\u00d7100%(\u6298\u6263\uff1c1)
\u5229\u606f\uff1d\u672c\u91d1\u00d7\u5229\u7387\u00d7\u65f6\u95f4
\u7a0e\u540e\u5229\u606f\uff1d\u672c\u91d1\u00d7\u5229\u7387\u00d7\u65f6\u95f4\u00d7(1\uff0d20%)
\u957f\u5ea6\u5355\u4f4d\u6362\u7b97
1\u5343\u7c73=1000\u7c73 1\u7c73=10\u5206\u7c73
1\u5206\u7c73=10\u5398\u7c73 1\u7c73=100\u5398\u7c73
1\u5398\u7c73=10\u6beb\u7c73
\u9762\u79ef\u5355\u4f4d\u6362\u7b97
1\u5e73\u65b9\u5343\u7c73=100\u516c\u9877
1\u516c\u9877=10000\u5e73\u65b9\u7c73
1\u5e73\u65b9\u7c73=100\u5e73\u65b9\u5206\u7c73
1\u5e73\u65b9\u5206\u7c73=100\u5e73\u65b9\u5398\u7c73
1\u5e73\u65b9\u5398\u7c73=100\u5e73\u65b9\u6beb\u7c73
\u4f53(\u5bb9)\u79ef\u5355\u4f4d\u6362\u7b97
1\u7acb\u65b9\u7c73=1000\u7acb\u65b9\u5206\u7c73
1\u7acb\u65b9\u5206\u7c73=1000\u7acb\u65b9\u5398\u7c73
1\u7acb\u65b9\u5206\u7c73=1\u5347
1\u7acb\u65b9\u5398\u7c73=1\u6beb\u5347
1\u7acb\u65b9\u7c73=1000\u5347
\u91cd\u91cf\u5355\u4f4d\u6362\u7b97
1\u5428=1000 \u5343\u514b
1\u5343\u514b=1000\u514b
1\u5343\u514b=1\u516c\u65a4
\u4eba\u6c11\u5e01\u5355\u4f4d\u6362\u7b97
1\u5143=10\u89d2
1\u89d2=10\u5206
1\u5143=100\u5206
\u65f6\u95f4\u5355\u4f4d\u6362\u7b97
1\u4e16\u7eaa=100\u5e74 1\u5e74=12\u6708
\u5927\u6708(31\u5929)\u6709:1\3\5\7\8\10\12\u6708
\u5c0f\u6708(30\u5929)\u7684\u6709:4\6\9\11\u6708
\u5e73\u5e742\u670828\u5929, \u95f0\u5e742\u670829\u5929
\u5e73\u5e74\u5168\u5e74365\u5929, \u95f0\u5e74\u5168\u5e74366\u5929
1\u65e5=24\u5c0f\u65f6 1\u65f6=60\u5206
1\u5206=60\u79d2 1\u65f6=3600\u79d2
\u5c0f\u5b66\u6570\u5b66\u51e0\u4f55\u5f62\u4f53\u5468\u957f \u9762\u79ef \u4f53\u79ef\u8ba1\u7b97\u516c\u5f0f
1\u3001\u957f\u65b9\u5f62\u7684\u5468\u957f=\uff08\u957f+\u5bbd\uff09\u00d72 C=(a+b)\u00d72
2\u3001\u6b63\u65b9\u5f62\u7684\u5468\u957f=\u8fb9\u957f\u00d74 C=4a
3\u3001\u957f\u65b9\u5f62\u7684\u9762\u79ef=\u957f\u00d7\u5bbd S=ab
4\u3001\u6b63\u65b9\u5f62\u7684\u9762\u79ef=\u8fb9\u957f\u00d7\u8fb9\u957f S=a.a= a
5\u3001\u4e09\u89d2\u5f62\u7684\u9762\u79ef=\u5e95\u00d7\u9ad8\u00f72 S=ah\u00f72
6\u3001\u5e73\u884c\u56db\u8fb9\u5f62\u7684\u9762\u79ef=\u5e95\u00d7\u9ad8 S=ah
7\u3001\u68af\u5f62\u7684\u9762\u79ef=\uff08\u4e0a\u5e95+\u4e0b\u5e95\uff09\u00d7\u9ad8\u00f72 S=\uff08a\uff0bb\uff09h\u00f72
8\u3001\u76f4\u5f84=\u534a\u5f84\u00d72 d=2r \u534a\u5f84=\u76f4\u5f84\u00f72 r= d\u00f72
9\u3001\u5706\u7684\u5468\u957f=\u5706\u5468\u7387\u00d7\u76f4\u5f84=\u5706\u5468\u7387\u00d7\u534a\u5f84\u00d72 c=\u03c0d =2\u03c0r
10\u3001\u5706\u7684\u9762\u79ef=\u5706\u5468\u7387\u00d7\u534a\u5f84\u00d7\u534a\u5f84
\u5c0f\u5b66\u81f3\u521d\u4e2d\u6570\u5b66\u6240\u6709\u516c\u5f0f
1\u3001 \u6bcf\u4efd\u6570\u00d7\u4efd\u6570\uff1d\u603b\u6570 \u603b\u6570\u00f7\u6bcf\u4efd\u6570\uff1d\u4efd\u6570\u603b\u6570\u00f7\u4efd\u6570\uff1d\u6bcf\u4efd\u6570
2\u3001 1\u500d\u6570\u00d7\u500d\u6570\uff1d\u51e0\u500d\u6570 \u51e0\u500d\u6570\u00f71\u500d\u6570\uff1d\u500d\u6570\u51e0\u500d\u6570\u00f7\u500d\u6570\uff1d1\u500d\u6570
3\u3001 \u901f\u5ea6\u00d7\u65f6\u95f4\uff1d\u8def\u7a0b \u8def\u7a0b\u00f7\u901f\u5ea6\uff1d\u65f6\u95f4 \u8def\u7a0b\u00f7\u65f6\u95f4\uff1d\u901f\u5ea6
4\u3001 \u5355\u4ef7\u00d7\u6570\u91cf\uff1d\u603b\u4ef7 \u603b\u4ef7\u00f7\u5355\u4ef7\uff1d\u6570\u91cf \u603b\u4ef7\u00f7\u6570\u91cf\uff1d\u5355\u4ef7
5\u3001 \u5de5\u4f5c\u6548\u7387\u00d7\u5de5\u4f5c\u65f6\u95f4\uff1d\u5de5\u4f5c\u603b\u91cf \u5de5\u4f5c\u603b\u91cf\u00f7\u5de5\u4f5c\u6548\u7387\uff1d\u5de5\u4f5c\u65f6\u95f4\u5de5\u4f5c\u603b\u91cf\u00f7
\u5de5\u4f5c\u65f6\u95f4\uff1d\u5de5\u4f5c\u6548\u7387
6\u3001 \u52a0\u6570\uff0b\u52a0\u6570\uff1d\u548c \u548c\uff0d\u4e00\u4e2a\u52a0\u6570\uff1d\u53e6\u4e00\u4e2a\u52a0\u6570
7\u3001 \u88ab\u51cf\u6570\uff0d\u51cf\u6570\uff1d\u5dee \u88ab\u51cf\u6570\uff0d\u5dee\uff1d\u51cf\u6570 \u5dee\uff0b\u51cf\u6570\uff1d\u88ab\u51cf\u6570
8\u3001 \u56e0\u6570\u00d7\u56e0\u6570\uff1d\u79ef \u79ef\u00f7\u4e00\u4e2a\u56e0\u6570\uff1d\u53e6\u4e00\u4e2a\u56e0\u6570
9\u3001 \u88ab\u9664\u6570\u00f7\u9664\u6570\uff1d\u5546 \u88ab\u9664\u6570\u00f7\u5546\uff1d\u9664\u6570 \u5546\u00d7\u9664\u6570\uff1d\u88ab\u9664\u6570
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1\u3001\u6b63\u65b9\u5f62\uff1aC\u5468\u957f S\u9762\u79ef a\u8fb9\u957f \u5468\u957f\uff1d\u8fb9\u957f\u00d74 C=4a \u9762\u79ef=\u8fb9\u957f\u00d7\u8fb9\u957f S=a\u00d7a
2\u3001\u6b63\u65b9\u4f53\uff1aV:\u4f53\u79ef a:\u68f1\u957f \u8868\u9762\u79ef=\u68f1\u957f\u00d7\u68f1\u957f\u00d76 S\u8868=a\u00d7a\u00d76
\u4f53\u79ef=\u68f1\u957f\u00d7\u68f1\u957f\u00d7\u68f1\u957f V=a\u00d7a\u00d7a
3\u3001\u957f\u65b9\u5f62
C\u5468\u957f S\u9762\u79ef a\u8fb9\u957f \u5468\u957f=(\u957f+\u5bbd)\u00d72 C=2(a+b) \u9762\u79ef=\u957f\u00d7\u5bbd S=ab
4\u3001\u957f\u65b9\u4f53
V:\u4f53\u79ef s:\u9762\u79ef a:\u957f b: \u5bbd h:\u9ad8
(1)\u8868\u9762\u79ef(\u957f\u00d7\u5bbd+\u957f\u00d7\u9ad8+\u5bbd\u00d7\u9ad8)\u00d72 S=2(ab+ah+bh)
(2)\u4f53\u79ef=\u957f\u00d7\u5bbd\u00d7\u9ad8 V=abh
5\u3001\u4e09\u89d2\u5f62
s\u9762\u79ef a\u5e95 h\u9ad8 \u9762\u79ef=\u5e95\u00d7\u9ad8\u00f72 s=ah\u00f72
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\u4e09\u89d2\u5f62\u5e95=\u9762\u79ef \u00d72\u00f7\u9ad8
6\u3001\u5e73\u884c\u56db\u8fb9\u5f62\uff1as\u9762\u79ef a\u5e95 h\u9ad8 \u9762\u79ef=\u5e95\u00d7\u9ad8 s=ah
7\u3001\u68af\u5f62\uff1as\u9762\u79ef a\u4e0a\u5e95 b\u4e0b\u5e95 h\u9ad8 \u9762\u79ef=(\u4e0a\u5e95+\u4e0b\u5e95)\u00d7\u9ad8\u00f72 s=(a+b)\u00d7 h\u00f72
8 \u5706\u5f62\uff1aS\u9762\u79ef C\u5468\u957f \u220f d=\u76f4\u5f84 r=\u534a\u5f84
(1)\u5468\u957f=\u76f4\u5f84\u00d7\u220f=2\u00d7\u220f\u00d7\u534a\u5f84 C=\u220fd=2\u220fr
(2)\u9762\u79ef=\u534a\u5f84\u00d7\u534a\u5f84\u00d7\u220f
9\u3001\u5706\u67f1\u4f53\uff1av\u4f53\u79ef h:\u9ad8 s\u5e95\u9762\u79ef r\u5e95\u9762\u534a\u5f84 c\u5e95\u9762\u5468\u957f
(1)\u4fa7\u9762\u79ef=\u5e95\u9762\u5468\u957f\u00d7\u9ad8
(2)\u8868\u9762\u79ef=\u4fa7\u9762\u79ef+\u5e95\u9762\u79ef\u00d72
(3)\u4f53\u79ef=\u5e95\u9762\u79ef\u00d7\u9ad8
(4)\u4f53\u79ef\uff1d\u4fa7\u9762\u79ef\u00f72\u00d7\u534a\u5f84
10\u3001\u5706\u9525\u4f53\uff1av\u4f53\u79ef h\u9ad8 s\u5e95\u9762\u79ef r\u5e95\u9762\u534a\u5f84 \u4f53\u79ef=\u5e95\u9762\u79ef\u00d7\u9ad8\u00f73
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(\u548c\uff0b\u5dee)\u00f72\uff1d\u5927\u6570
(\u548c\uff0d\u5dee)\u00f72\uff1d\u5c0f\u6570
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1\u3001\u975e\u5c01\u95ed\u7ebf\u8def\u4e0a\u7684\u690d\u6811\u95ee\u9898\u4e3b\u8981\u53ef\u5206\u4e3a\u4ee5\u4e0b\u4e09\u79cd\u60c5\u5f62:
\u2474\u5982\u679c\u5728\u975e\u5c01\u95ed\u7ebf\u8def\u7684\u4e24\u7aef\u90fd\u8981\u690d\u6811,\u90a3\u4e48:
\u682a\u6570\uff1d\u6bb5\u6570\uff0b1\uff1d\u5168\u957f\u00f7\u682a\u8ddd\uff0d1
\u5168\u957f\uff1d\u682a\u8ddd\u00d7(\u682a\u6570\uff0d1)
\u682a\u8ddd\uff1d\u5168\u957f\u00f7(\u682a\u6570\uff0d1)
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\u682a\u6570\uff1d\u6bb5\u6570\uff1d\u5168\u957f\u00f7\u682a\u8ddd
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\u682a\u6570\uff1d\u6bb5\u6570\uff0d1\uff1d\u5168\u957f\u00f7\u682a\u8ddd\uff0d1
\u5168\u957f\uff1d\u682a\u8ddd\u00d7(\u682a\u6570\uff0b1)
\u682a\u8ddd\uff1d\u5168\u957f\u00f7(\u682a\u6570\uff0b1)
2\u3001\u5c01\u95ed\u7ebf\u8def\u4e0a\u7684\u690d\u6811\u95ee\u9898\u7684\u6570\u91cf\u5173\u7cfb\u5982\u4e0b
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\u957f\u5ea6\u5355\u4f4d\u6362\u7b97
1\u5343\u7c73=1000\u7c73 1\u7c73=10\u5206\u7c73
1\u5206\u7c73=10\u5398\u7c73 1\u7c73=100\u5398\u7c73
1\u5398\u7c73=10\u6beb\u7c73
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1\u5e73\u65b9\u5343\u7c73=100\u516c\u9877
1\u516c\u9877=10000\u5e73\u65b9\u7c73
1\u5e73\u65b9\u7c73=100\u5e73\u65b9\u5206\u7c73
1\u5e73\u65b9\u5206\u7c73=100\u5e73\u65b9\u5398\u7c73
1\u5e73\u65b9\u5398\u7c73=100\u5e73\u65b9\u6beb\u7c73
\u4f53(\u5bb9)\u79ef\u5355\u4f4d\u6362\u7b97
1\u7acb\u65b9\u7c73=1000\u7acb\u65b9\u5206\u7c73
1\u7acb\u65b9\u5206\u7c73=1000\u7acb\u65b9\u5398\u7c73
1\u7acb\u65b9\u5206\u7c73=1\u5347
1\u7acb\u65b9\u5398\u7c73=1\u6beb\u5347
1\u7acb\u65b9\u7c73=1000\u5347
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1\u5428=1000 \u5343\u514b
1\u5343\u514b=1000\u514b
1\u5343\u514b=1\u516c\u65a4
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1\u5143=10\u89d2
1\u89d2=10\u5206
1\u5143=100\u5206
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1\u4e16\u7eaa=100\u5e74 1\u5e74=12\u6708
\u5927\u6708(31\u5929)\u6709:1\3\5\7\8\10\12\u6708
\u5c0f\u6708(30\u5929)\u7684\u6709:4\6\9\11\u6708
\u5e73\u5e74 2\u670828\u5929, \u95f0\u5e74 2\u670829\u5929
\u5e73\u5e74\u5168\u5e74365\u5929, \u95f0\u5e74\u5168\u5e74366\u5929
1\u65e5=24\u5c0f\u65f6 1\u5c0f\u65f6=60\u5206
1\u5206=60\u79d2 1\u5c0f\u65f6=3600\u79d2
\u5c0f\u5b66\u6570\u5b66\u51e0\u4f55\u5f62\u4f53\u5468\u957f \u9762\u79ef \u4f53\u79ef\u8ba1\u7b97\u516c\u5f0f
1\u3001\u957f\u65b9\u5f62\u7684\u5468\u957f=\uff08\u957f+\u5bbd\uff09\u00d72 C=(a+b)\u00d72
2\u3001\u6b63\u65b9\u5f62\u7684\u5468\u957f=\u8fb9\u957f\u00d74 C=4a
3\u3001\u957f\u65b9\u5f62\u7684\u9762\u79ef=\u957f\u00d7\u5bbd S=ab
4\u3001\u6b63\u65b9\u5f62\u7684\u9762\u79ef=\u8fb9\u957f\u00d7\u8fb9\u957f S=a.a= a
5\u3001\u4e09\u89d2\u5f62\u7684\u9762\u79ef=\u5e95\u00d7\u9ad8\u00f72 S=ah\u00f72
6\u3001\u5e73\u884c\u56db\u8fb9\u5f62\u7684\u9762\u79ef=\u5e95\u00d7\u9ad8 S=ah
7\u3001\u68af\u5f62\u7684\u9762\u79ef=\uff08\u4e0a\u5e95+\u4e0b\u5e95\uff09\u00d7\u9ad8\u00f72 S=\uff08a\uff0bb\uff09h\u00f72
8\u3001\u76f4\u5f84=\u534a\u5f84\u00d72 d=2r \u534a\u5f84=\u76f4\u5f84\u00f72 r= d\u00f72
9\u3001\u5706\u7684\u5468\u957f=\u5706\u5468\u7387\u00d7\u76f4\u5f84=\u5706\u5468\u7387\u00d7\u534a\u5f84\u00d72 c=\u03c0d =2\u03c0r
10\u3001\u5706\u7684\u9762\u79ef=\u5706\u5468\u7387\u00d7\u534a\u5f84\u00d7\u534a\u5f84
\u5e38\u89c1\u7684\u521d\u4e2d\u6570\u5b66\u516c\u5f0f
1 \u8fc7\u4e24\u70b9\u6709\u4e14\u53ea\u6709\u4e00\u6761\u76f4\u7ebf
2 \u4e24\u70b9\u4e4b\u95f4\u7ebf\u6bb5\u6700\u77ed
3 \u540c\u89d2\u6216\u7b49\u89d2\u7684\u8865\u89d2\u76f8\u7b49
4 \u540c\u89d2\u6216\u7b49\u89d2\u7684\u4f59\u89d2\u76f8\u7b49
5 \u8fc7\u4e00\u70b9\u6709\u4e14\u53ea\u6709\u4e00\u6761\u76f4\u7ebf\u548c\u5df2\u77e5\u76f4\u7ebf\u5782\u76f4
6 \u76f4\u7ebf\u5916\u4e00\u70b9\u4e0e\u76f4\u7ebf\u4e0a\u5404\u70b9\u8fde\u63a5\u7684\u6240\u6709\u7ebf\u6bb5\u4e2d\uff0c\u5782\u7ebf\u6bb5\u6700\u77ed
7 \u5e73\u884c\u516c\u7406 \u7ecf\u8fc7\u76f4\u7ebf\u5916\u4e00\u70b9\uff0c\u6709\u4e14\u53ea\u6709\u4e00\u6761\u76f4\u7ebf\u4e0e\u8fd9\u6761\u76f4\u7ebf\u5e73\u884c
8 \u5982\u679c\u4e24\u6761\u76f4\u7ebf\u90fd\u548c\u7b2c\u4e09\u6761\u76f4\u7ebf\u5e73\u884c\uff0c\u8fd9\u4e24\u6761\u76f4\u7ebf\u4e5f\u4e92\u76f8\u5e73\u884c
9 \u540c\u4f4d\u89d2\u76f8\u7b49\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c
10 \u5185\u9519\u89d2\u76f8\u7b49\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c
11 \u540c\u65c1\u5185\u89d2\u4e92\u8865\uff0c\u4e24\u76f4\u7ebf\u5e73\u884c
12 \u4e24\u76f4\u7ebf\u5e73\u884c\uff0c\u540c\u4f4d\u89d2\u76f8\u7b49
13 \u4e24\u76f4\u7ebf\u5e73\u884c\uff0c\u5185\u9519\u89d2\u76f8\u7b49
14 \u4e24\u76f4\u7ebf\u5e73\u884c\uff0c\u540c\u65c1\u5185\u89d2\u4e92\u8865
15 \u5b9a\u7406 \u4e09\u89d2\u5f62\u4e24\u8fb9\u7684\u548c\u5927\u4e8e\u7b2c\u4e09\u8fb9
16 \u63a8\u8bba \u4e09\u89d2\u5f62\u4e24\u8fb9\u7684\u5dee\u5c0f\u4e8e\u7b2c\u4e09\u8fb9
17 \u4e09\u89d2\u5f62\u5185\u89d2\u548c\u5b9a\u7406 \u4e09\u89d2\u5f62\u4e09\u4e2a\u5185\u89d2\u7684\u548c\u7b49\u4e8e180\u00b0
18 \u63a8\u8bba1 \u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u4e24\u4e2a\u9510\u89d2\u4e92\u4f59
19 \u63a8\u8bba2 \u4e09\u89d2\u5f62\u7684\u4e00\u4e2a\u5916\u89d2\u7b49\u4e8e\u548c\u5b83\u4e0d\u76f8\u90bb\u7684\u4e24\u4e2a\u5185\u89d2\u7684\u548c
20 \u63a8\u8bba3 \u4e09\u89d2\u5f62\u7684\u4e00\u4e2a\u5916\u89d2\u5927\u4e8e\u4efb\u4f55\u4e00\u4e2a\u548c\u5b83\u4e0d\u76f8\u90bb\u7684\u5185\u89d2
21 \u5168\u7b49\u4e09\u89d2\u5f62\u7684\u5bf9\u5e94\u8fb9\u3001\u5bf9\u5e94\u89d2\u76f8\u7b49
22 \u8fb9\u89d2\u8fb9\u516c\u7406(SAS) \u6709\u4e24\u8fb9\u548c\u5b83\u4eec\u7684\u5939\u89d2\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u5168\u7b49
23 \u89d2\u8fb9\u89d2\u516c\u7406(ASA) \u6709\u4e24\u89d2\u548c\u5b83\u4eec\u7684\u5939\u8fb9\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u5168\u7b49
24 \u63a8\u8bba(AAS) \u6709\u4e24\u89d2\u548c\u5176\u4e2d\u4e00\u89d2\u7684\u5bf9\u8fb9\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u5168\u7b49
25 \u8fb9\u8fb9\u8fb9\u516c\u7406(SSS) \u6709\u4e09\u8fb9\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u4e09\u89d2\u5f62\u5168\u7b49
26 \u659c\u8fb9\u3001\u76f4\u89d2\u8fb9\u516c\u7406(HL)\u6709\u659c\u8fb9\u548c\u4e00\u6761\u76f4\u89d2\u8fb9\u5bf9\u5e94\u76f8\u7b49\u7684\u4e24\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u5168\u7b49
27 \u5b9a\u74061 \u5728\u89d2\u7684\u5e73\u5206\u7ebf\u4e0a\u7684\u70b9\u5230\u8fd9\u4e2a\u89d2\u7684\u4e24\u8fb9\u7684\u8ddd\u79bb\u76f8\u7b49
28 \u5b9a\u74062 \u5230\u4e00\u4e2a\u89d2\u7684\u4e24\u8fb9\u7684\u8ddd\u79bb\u76f8\u540c\u7684\u70b9\uff0c\u5728\u8fd9\u4e2a\u89d2\u7684\u5e73\u5206\u7ebf\u4e0a
29 \u89d2\u7684\u5e73\u5206\u7ebf\u662f\u5230\u89d2\u7684\u4e24\u8fb9\u8ddd\u79bb\u76f8\u7b49\u7684\u6240\u6709\u70b9\u7684\u96c6\u5408
30 \u7b49\u8170\u4e09\u89d2\u5f62\u7684\u6027\u8d28\u5b9a\u7406 \u7b49\u8170\u4e09\u89d2\u5f62\u7684\u4e24\u4e2a\u5e95\u89d2\u76f8\u7b49 (\u5373\u7b49\u8fb9\u5bf9\u7b49\u89d2\uff09
31 \u63a8\u8bba1 \u7b49\u8170\u4e09\u89d2\u5f62\u9876\u89d2\u7684\u5e73\u5206\u7ebf\u5e73\u5206\u5e95\u8fb9\u5e76\u4e14\u5782\u76f4\u4e8e\u5e95\u8fb9
32 \u7b49\u8170\u4e09\u89d2\u5f62\u7684\u9876\u89d2\u5e73\u5206\u7ebf\u3001\u5e95\u8fb9\u4e0a\u7684\u4e2d\u7ebf\u548c\u5e95\u8fb9\u4e0a\u7684\u9ad8\u4e92\u76f8\u91cd\u5408
33 \u63a8\u8bba3 \u7b49\u8fb9\u4e09\u89d2\u5f62\u7684\u5404\u89d2\u90fd\u76f8\u7b49\uff0c\u5e76\u4e14\u6bcf\u4e00\u4e2a\u89d2\u90fd\u7b49\u4e8e60\u00b0
34 \u7b49\u8170\u4e09\u89d2\u5f62\u7684\u5224\u5b9a\u5b9a\u7406 \u5982\u679c\u4e00\u4e2a\u4e09\u89d2\u5f62\u6709\u4e24\u4e2a\u89d2\u76f8\u7b49\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u89d2\u6240\u5bf9
\u7684\u8fb9\u4e5f\u76f8\u7b49\uff08\u7b49\u89d2\u5bf9\u7b49\u8fb9\uff09
35 \u63a8\u8bba1 \u4e09\u4e2a\u89d2\u90fd\u76f8\u7b49\u7684\u4e09\u89d2\u5f62\u662f\u7b49\u8fb9\u4e09\u89d2\u5f62
36 \u63a8\u8bba2 \u6709\u4e00\u4e2a\u89d2\u7b49\u4e8e60\u00b0\u7684\u7b49\u8170\u4e09\u89d2\u5f62\u662f\u7b49\u8fb9\u4e09\u89d2\u5f62
37 \u5728\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\uff0c\u5982\u679c\u4e00\u4e2a\u9510\u89d2\u7b49\u4e8e30\u00b0\u90a3\u4e48\u5b83\u6240\u5bf9\u7684\u76f4\u89d2\u8fb9\u7b49\u4e8e\u659c\u8fb9\u7684\u4e00\u534a
38 \u76f4\u89d2\u4e09\u89d2\u5f62\u659c\u8fb9\u4e0a\u7684\u4e2d\u7ebf\u7b49\u4e8e\u659c\u8fb9\u4e0a\u7684\u4e00\u534a
39 \u5b9a\u7406 \u7ebf\u6bb5\u5782\u76f4\u5e73\u5206\u7ebf\u4e0a\u7684\u70b9\u548c\u8fd9\u6761\u7ebf\u6bb5\u4e24\u4e2a\u7aef\u70b9\u7684\u8ddd\u79bb\u76f8\u7b49
40 \u9006\u5b9a\u7406 \u548c\u4e00\u6761\u7ebf\u6bb5\u4e24\u4e2a\u7aef\u70b9\u8ddd\u79bb\u76f8\u7b49\u7684\u70b9\uff0c\u5728\u8fd9\u6761\u7ebf\u6bb5\u7684\u5782\u76f4\u5e73\u5206\u7ebf\u4e0a
41 \u7ebf\u6bb5\u7684\u5782\u76f4\u5e73\u5206\u7ebf\u53ef\u770b\u4f5c\u548c\u7ebf\u6bb5\u4e24\u7aef\u70b9\u8ddd\u79bb\u76f8\u7b49\u7684\u6240\u6709\u70b9\u7684\u96c6\u5408
42 \u5b9a\u7406 1 \u5173\u4e8e\u67d0\u6761\u76f4\u7ebf\u5bf9\u79f0\u7684\u4e24\u4e2a\u56fe\u5f62\u662f\u5168\u7b49\u5f62
43 \u5b9a\u7406 2 \u5982\u679c\u4e24\u4e2a\u56fe\u5f62\u5173\u4e8e\u67d0\u76f4\u7ebf\u5bf9\u79f0\uff0c\u90a3\u4e48\u5bf9\u79f0\u8f74\u662f\u5bf9\u5e94\u70b9\u8fde\u7ebf\u7684\u5782\u76f4\u5e73
\u5206\u7ebf
44 \u5b9a\u7406 3 \u4e24\u4e2a\u56fe\u5f62\u5173\u4e8e\u67d0\u76f4\u7ebf\u5bf9\u79f0\uff0c\u5982\u679c\u5b83\u4eec\u7684\u5bf9\u5e94\u7ebf\u6bb5\u6216\u5ef6\u957f\u7ebf\u76f8\u4ea4\uff0c\u90a3
\u4e48\u4ea4\u70b9\u5728\u5bf9\u79f0\u8f74\u4e0a
45 \u9006\u5b9a\u7406 \u5982\u679c\u4e24\u4e2a\u56fe\u5f62\u7684\u5bf9\u5e94\u70b9\u8fde\u7ebf\u88ab\u540c\u4e00\u6761\u76f4\u7ebf\u5782\u76f4\u5e73\u5206\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u56fe
\u5f62\u5173\u4e8e\u8fd9\u6761\u76f4\u7ebf\u5bf9\u79f0
46 \u52fe\u80a1\u5b9a\u7406 \u76f4\u89d2\u4e09\u89d2\u5f62\u4e24\u76f4\u89d2\u8fb9a\u3001b\u7684\u5e73\u65b9\u548c\u3001\u7b49\u4e8e\u659c\u8fb9c\u7684\u5e73\u65b9\uff0c
\u5373a^2+b^2=c^2
47 \u52fe\u80a1\u5b9a\u7406\u7684\u9006\u5b9a\u7406 \u5982\u679c\u4e09\u89d2\u5f62\u7684\u4e09\u8fb9\u957fa\u3001b\u3001c\u6709\u5173\u7cfba^2+b^2=c^2 \uff0c\u90a3
\u4e48\u8fd9\u4e2a\u4e09\u89d2\u5f62\u662f\u76f4\u89d2\u4e09\u89d2\u5f62
48 \u5b9a\u7406 \u56db\u8fb9\u5f62\u7684\u5185\u89d2\u548c\u7b49\u4e8e360\u00b0
49 \u56db\u8fb9\u5f62\u7684\u5916\u89d2\u548c\u7b49\u4e8e360\u00b0
50 \u591a\u8fb9\u5f62\u5185\u89d2\u548c\u5b9a\u7406 n\u8fb9\u5f62\u7684\u5185\u89d2\u7684\u548c\u7b49\u4e8e\uff08n-2\uff09\u00d7180\u00b0
51 \u63a8\u8bba \u4efb\u610f\u591a\u8fb9\u7684\u5916\u89d2\u548c\u7b49\u4e8e360\u00b0
52 \u5e73\u884c\u56db\u8fb9\u5f62\u6027\u8d28\u5b9a\u7406 1 \u5e73\u884c\u56db\u8fb9\u5f62\u7684\u5bf9\u89d2\u76f8\u7b49
53 \u5e73\u884c\u56db\u8fb9\u5f62\u6027\u8d28\u5b9a\u7406 2 \u5e73\u884c\u56db\u8fb9\u5f62\u7684\u5bf9\u8fb9\u76f8\u7b49
54 \u63a8\u8bba \u5939\u5728\u4e24\u6761\u5e73\u884c\u7ebf\u95f4\u7684\u5e73\u884c\u7ebf\u6bb5\u76f8\u7b49
55 \u5e73\u884c\u56db\u8fb9\u5f62\u6027\u8d28\u5b9a\u7406 3 \u5e73\u884c\u56db\u8fb9\u5f62\u7684\u5bf9\u89d2\u7ebf\u4e92\u76f8\u5e73\u5206
56 \u5e73\u884c\u56db\u8fb9\u5f62\u5224\u5b9a\u5b9a\u7406 1 \u4e24\u7ec4\u5bf9\u89d2\u5206\u522b\u76f8\u7b49\u7684\u56db\u8fb9\u5f62\u662f\u5e73\u884c\u56db\u8fb9\u5f62
57 \u5e73\u884c\u56db\u8fb9\u5f62\u5224\u5b9a\u5b9a\u7406 2 \u4e24\u7ec4\u5bf9\u8fb9\u5206\u522b\u76f8\u7b49\u7684\u56db\u8fb9\u5f62\u662f\u5e73\u884c\u56db\u8fb9\u5f62
58 \u5e73\u884c\u56db\u8fb9\u5f62\u5224\u5b9a\u5b9a\u7406 3 \u5bf9\u89d2\u7ebf\u4e92\u76f8\u5e73\u5206\u7684\u56db\u8fb9\u5f62\u662f\u5e73\u884c\u56db\u8fb9\u5f62
59 \u5e73\u884c\u56db\u8fb9\u5f62\u5224\u5b9a\u5b9a\u7406 4 \u4e00\u7ec4\u5bf9\u8fb9\u5e73\u884c\u76f8\u7b49\u7684\u56db\u8fb9\u5f62\u662f\u5e73\u884c\u56db\u8fb9\u5f62
60 \u77e9\u5f62\u6027\u8d28\u5b9a\u7406 1 \u77e9\u5f62\u7684\u56db\u4e2a\u89d2\u90fd\u662f\u76f4\u89d2
61 \u77e9\u5f62\u6027\u8d28\u5b9a\u7406 2 \u77e9\u5f62\u7684\u5bf9\u89d2\u7ebf\u76f8\u7b49
62 \u77e9\u5f62\u5224\u5b9a\u5b9a\u7406 1 \u6709\u4e09\u4e2a\u89d2\u662f\u76f4\u89d2\u7684\u56db\u8fb9\u5f62\u662f\u77e9\u5f62
63 \u77e9\u5f62\u5224\u5b9a\u5b9a\u7406 2 \u5bf9\u89d2\u7ebf\u76f8\u7b49\u7684\u5e73\u884c\u56db\u8fb9\u5f62\u662f\u77e9\u5f62
64 \u83f1\u5f62\u6027\u8d28\u5b9a\u7406 1 \u83f1\u5f62\u7684\u56db\u6761\u8fb9\u90fd\u76f8\u7b49
65 \u83f1\u5f62\u6027\u8d28\u5b9a\u7406 2 \u83f1\u5f62\u7684\u5bf9\u89d2\u7ebf\u4e92\u76f8\u5782\u76f4\uff0c\u5e76\u4e14\u6bcf\u4e00\u6761\u5bf9\u89d2\u7ebf\u5e73\u5206\u4e00\u7ec4\u5bf9\u89d2
66 \u83f1\u5f62\u9762\u79ef=\u5bf9\u89d2\u7ebf\u4e58\u79ef\u7684\u4e00\u534a\uff0c\u5373S=\uff08a\u00d7b\uff09\u00f72
67 \u83f1\u5f62\u5224\u5b9a\u5b9a\u7406 1 \u56db\u8fb9\u90fd\u76f8\u7b49\u7684\u56db\u8fb9\u5f62\u662f\u83f1\u5f62
68 \u83f1\u5f62\u5224\u5b9a\u5b9a\u7406 2 \u5bf9\u89d2\u7ebf\u4e92\u76f8\u5782\u76f4\u7684\u5e73\u884c\u56db\u8fb9\u5f62\u662f\u83f1\u5f62
69 \u6b63\u65b9\u5f62\u6027\u8d28\u5b9a\u7406 1 \u6b63\u65b9\u5f62\u7684\u56db\u4e2a\u89d2\u90fd\u662f\u76f4\u89d2\uff0c\u56db\u6761\u8fb9\u90fd\u76f8\u7b49
70 \u6b63\u65b9\u5f62\u6027\u8d28\u5b9a\u7406 2 \u6b63\u65b9\u5f62\u7684\u4e24\u6761\u5bf9\u89d2\u7ebf\u76f8\u7b49\uff0c\u5e76\u4e14\u4e92\u76f8\u5782\u76f4\u5e73\u5206\uff0c\u6bcf\u6761\u5bf9
\u89d2\u7ebf\u5e73\u5206\u4e00\u7ec4\u5bf9\u89d2
71 \u5b9a\u7406 1 \u5173\u4e8e\u4e2d\u5fc3\u5bf9\u79f0\u7684\u4e24\u4e2a\u56fe\u5f62\u662f\u5168\u7b49\u7684
72 \u5b9a\u7406 2 \u5173\u4e8e\u4e2d\u5fc3\u5bf9\u79f0\u7684\u4e24\u4e2a\u56fe\u5f62\uff0c\u5bf9\u79f0\u70b9\u8fde\u7ebf\u90fd\u7ecf\u8fc7\u5bf9\u79f0\u4e2d\u5fc3\uff0c\u5e76\u4e14\u88ab\u5bf9
\u79f0\u4e2d\u5fc3\u5e73\u5206
73 \u9006\u5b9a\u7406 \u5982\u679c\u4e24\u4e2a\u56fe\u5f62\u7684\u5bf9\u5e94\u70b9\u8fde\u7ebf\u90fd\u7ecf\u8fc7\u67d0\u4e00\u70b9\uff0c\u5e76\u4e14\u88ab\u8fd9\u4e00\u70b9\u5e73\u5206\uff0c\u90a3
\u4e48\u8fd9\u4e24\u4e2a\u56fe\u5f62\u5173\u4e8e\u8fd9\u4e00\u70b9\u5bf9\u79f0
74 \u7b49\u8170\u68af\u5f62\u6027\u8d28\u5b9a\u7406 \u7b49\u8170\u68af\u5f62\u5728\u540c\u4e00\u5e95\u4e0a\u7684\u4e24\u4e2a\u89d2\u76f8\u7b49
75 \u7b49\u8170\u68af\u5f62\u7684\u4e24\u6761\u5bf9\u89d2\u7ebf\u76f8\u7b49
76 \u7b49\u8170\u68af\u5f62\u5224\u5b9a\u5b9a\u7406 \u5728\u540c\u4e00\u5e95\u4e0a\u7684\u4e24\u4e2a\u89d2\u76f8\u7b49\u7684\u68af\u5f62\u662f\u7b49\u8170\u68af\u5f62
77 \u5bf9\u89d2\u7ebf\u76f8\u7b49\u7684\u68af\u5f62\u662f\u7b49\u8170\u68af\u5f62
78 \u5e73\u884c\u7ebf\u7b49\u5206\u7ebf\u6bb5\u5b9a\u7406 \u5982\u679c\u4e00\u7ec4\u5e73\u884c\u7ebf\u5728\u4e00\u6761\u76f4\u7ebf\u4e0a\u622a\u5f97\u7684\u7ebf\u6bb5\u76f8\u7b49\uff0c\u90a3\u4e48
\u5728\u5176\u4ed6\u76f4\u7ebf\u4e0a\u622a\u5f97\u7684\u7ebf\u6bb5\u4e5f\u76f8\u7b49
79 \u63a8\u8bba 1 \u7ecf\u8fc7\u68af\u5f62\u4e00\u8170\u7684\u4e2d\u70b9\u4e0e\u5e95\u5e73\u884c\u7684\u76f4\u7ebf\uff0c\u5fc5\u5e73\u5206\u53e6\u4e00\u8170
80 \u63a8\u8bba 2 \u7ecf\u8fc7\u4e09\u89d2\u5f62\u4e00\u8fb9\u7684\u4e2d\u70b9\u4e0e\u53e6\u4e00\u8fb9\u5e73\u884c\u7684\u76f4\u7ebf\uff0c\u5fc5\u5e73\u5206\u7b2c\u4e09\u8fb9
81 \u4e09\u89d2\u5f62\u4e2d\u4f4d\u7ebf\u5b9a\u7406 \u4e09\u89d2\u5f62\u7684\u4e2d\u4f4d\u7ebf\u5e73\u884c\u4e8e\u7b2c\u4e09\u8fb9\uff0c\u5e76\u4e14\u7b49\u4e8e\u5b83\u7684\u4e00\u534a
82 \u68af\u5f62\u4e2d\u4f4d\u7ebf\u5b9a\u7406 \u68af\u5f62\u7684\u4e2d\u4f4d\u7ebf\u5e73\u884c\u4e8e\u4e24\u5e95\uff0c\u5e76\u4e14\u7b49\u4e8e\u4e24\u5e95\u548c\u7684\u4e00\u534a L=
\uff08a+b\uff09\u00f72 S=L\u00d7h
83 (1)\u6bd4\u4f8b\u7684\u57fa\u672c\u6027\u8d28 \u5982\u679ca:b=c:d,\u90a3\u4e48ad=bc\u5982\u679cad=bc,\u90a3\u4e48a:b=c:d
84 (2)\u5408\u6bd4\u6027\u8d28 \u5982\u679ca\uff0fb=c\uff0fd,\u90a3\u4e48(a\u00b1b)\uff0fb=(c\u00b1d)\uff0fd
85 (3)\u7b49\u6bd4\u6027\u8d28 \u5982\u679ca\uff0fb=c\uff0fd=\u2026=m\uff0fn(b+d+\u2026+n\u22600),\u90a3\u4e48(a+c+\u2026+m)\uff0f
(b+d+\u2026+n)=a\uff0fb
86 \u5e73\u884c\u7ebf\u5206\u7ebf\u6bb5\u6210\u6bd4\u4f8b\u5b9a\u7406 \u4e09\u6761\u5e73\u884c\u7ebf\u622a\u4e24\u6761\u76f4\u7ebf\uff0c\u6240\u5f97\u7684\u5bf9\u5e94\u7ebf\u6bb5\u6210\u6bd4\u4f8b
87 \u63a8\u8bba \u5e73\u884c\u4e8e\u4e09\u89d2\u5f62\u4e00\u8fb9\u7684\u76f4\u7ebf\u622a\u5176\u4ed6\u4e24\u8fb9\uff08\u6216\u4e24\u8fb9\u7684\u5ef6\u957f\u7ebf\uff09\uff0c\u6240\u5f97\u7684\u5bf9
\u5e94\u7ebf\u6bb5\u6210\u6bd4\u4f8b
88 \u5b9a\u7406 \u5982\u679c\u4e00\u6761\u76f4\u7ebf\u622a\u4e09\u89d2\u5f62\u7684\u4e24\u8fb9\uff08\u6216\u4e24\u8fb9\u7684\u5ef6\u957f\u7ebf\uff09\u6240\u5f97\u7684\u5bf9\u5e94\u7ebf\u6bb5\u6210
\u6bd4\u4f8b\uff0c\u90a3\u4e48\u8fd9\u6761\u76f4\u7ebf\u5e73\u884c\u4e8e\u4e09\u89d2\u5f62\u7684\u7b2c\u4e09\u8fb9
89 \u5e73\u884c\u4e8e\u4e09\u89d2\u5f62\u7684\u4e00\u8fb9\uff0c\u5e76\u4e14\u548c\u5176\u4ed6\u4e24\u8fb9\u76f8\u4ea4\u7684\u76f4\u7ebf\uff0c\u6240\u622a\u5f97\u7684\u4e09\u89d2\u5f62\u7684\u4e09\u8fb9
\u4e0e\u539f\u4e09\u89d2\u5f62\u4e09\u8fb9\u5bf9\u5e94\u6210\u6bd4\u4f8b
90 \u5b9a\u7406 \u5e73\u884c\u4e8e\u4e09\u89d2\u5f62\u4e00\u8fb9\u7684\u76f4\u7ebf\u548c\u5176\u4ed6\u4e24\u8fb9\uff08\u6216\u4e24\u8fb9\u7684\u5ef6\u957f\u7ebf\uff09\u76f8\u4ea4\uff0c\u6240\u6784
\u6210\u7684\u4e09\u89d2\u5f62\u4e0e\u539f\u4e09\u89d2\u5f62\u76f8\u4f3c
91 \u76f8\u4f3c\u4e09\u89d2\u5f62\u5224\u5b9a\u5b9a\u7406 1 \u4e24\u89d2\u5bf9\u5e94\u76f8\u7b49\uff0c\u4e24\u4e09\u89d2\u5f62\u76f8\u4f3c\uff08ASA\uff09
92 \u76f4\u89d2\u4e09\u89d2\u5f62\u88ab\u659c\u8fb9\u4e0a\u7684\u9ad8\u5206\u6210\u7684\u4e24\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u548c\u539f\u4e09\u89d2\u5f62\u76f8\u4f3c
93 \u5224\u5b9a\u5b9a\u7406 2 \u4e24\u8fb9\u5bf9\u5e94\u6210\u6bd4\u4f8b\u4e14\u5939\u89d2\u76f8\u7b49\uff0c\u4e24\u4e09\u89d2\u5f62\u76f8\u4f3c\uff08SAS\uff09
94 \u5224\u5b9a\u5b9a\u7406 3 \u4e09\u8fb9\u5bf9\u5e94\u6210\u6bd4\u4f8b\uff0c\u4e24\u4e09\u89d2\u5f62\u76f8\u4f3c\uff08SSS\uff09
95 \u5b9a\u7406 \u5982\u679c\u4e00\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u659c\u8fb9\u548c\u4e00\u6761\u76f4\u89d2\u8fb9\u4e0e\u53e6\u4e00\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u659c\u8fb9
\u548c\u4e00\u6761\u76f4\u89d2\u8fb9\u5bf9\u5e94\u6210\u6bd4\u4f8b\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u76f4\u89d2\u4e09\u89d2\u5f62\u76f8\u4f3c
96 \u6027\u8d28\u5b9a\u7406 1 \u76f8\u4f3c\u4e09\u89d2\u5f62\u5bf9\u5e94\u9ad8\u7684\u6bd4\uff0c\u5bf9\u5e94\u4e2d\u7ebf\u7684\u6bd4\u4e0e\u5bf9\u5e94\u89d2\u5e73\u5206\u7ebf\u7684\u6bd4\u90fd
\u7b49\u4e8e\u76f8\u4f3c\u6bd4
97 \u6027\u8d28\u5b9a\u7406 2 \u76f8\u4f3c\u4e09\u89d2\u5f62\u5468\u957f\u7684\u6bd4\u7b49\u4e8e\u76f8\u4f3c\u6bd4
98 \u6027\u8d28\u5b9a\u7406 3 \u76f8\u4f3c\u4e09\u89d2\u5f62\u9762\u79ef\u7684\u6bd4\u7b49\u4e8e\u76f8\u4f3c\u6bd4\u7684\u5e73\u65b9
99 \u4efb\u610f\u9510\u89d2\u7684\u6b63\u5f26\u503c\u7b49\u4e8e\u5b83\u7684\u4f59\u89d2\u7684\u4f59\u5f26\u503c\uff0c\u4efb\u610f\u9510\u89d2\u7684\u4f59\u5f26\u503c\u7b49\u4e8e\u5b83\u7684\u4f59\u89d2
\u7684\u6b63\u5f26\u503c
100 \u4efb\u610f\u9510\u89d2\u7684\u6b63\u5207\u503c\u7b49\u4e8e\u5b83\u7684\u4f59\u89d2\u7684\u4f59\u5207\u503c\uff0c\u4efb\u610f\u9510\u89d2\u7684\u4f59\u5207\u503c\u7b49\u4e8e\u5b83\u7684\u4f59\u89d2
\u7684\u6b63\u5207\u503c
101 \u5706\u662f\u5b9a\u70b9\u7684\u8ddd\u79bb\u7b49\u4e8e\u5b9a\u957f\u7684\u70b9\u7684\u96c6\u5408
102 \u5706\u7684\u5185\u90e8\u53ef\u4ee5\u770b\u4f5c\u662f\u5706\u5fc3\u7684\u8ddd\u79bb\u5c0f\u4e8e\u534a\u5f84\u7684\u70b9\u7684\u96c6\u5408
103 \u5706\u7684\u5916\u90e8\u53ef\u4ee5\u770b\u4f5c\u662f\u5706\u5fc3\u7684\u8ddd\u79bb\u5927\u4e8e\u534a\u5f84\u7684\u70b9\u7684\u96c6\u5408
104 \u540c\u5706\u6216\u7b49\u5706\u7684\u534a\u5f84\u76f8\u7b49
105 \u5230\u5b9a\u70b9\u7684\u8ddd\u79bb\u7b49\u4e8e\u5b9a\u957f\u7684\u70b9\u7684\u8f68\u8ff9\uff0c\u662f\u4ee5\u5b9a\u70b9\u4e3a\u5706\u5fc3\uff0c\u5b9a\u957f\u4e3a\u534a\u5f84\u7684\u5706
106 \u548c\u5df2\u77e5\u7ebf\u6bb5\u4e24\u4e2a\u7aef\u70b9\u7684\u8ddd\u79bb\u76f8\u7b49\u7684\u70b9\u7684\u8f68\u8ff9\uff0c\u662f\u7740\u6761\u7ebf\u6bb5\u7684\u5782\u76f4\u5e73\u5206\u7ebf
107 \u5230\u5df2\u77e5\u89d2\u7684\u4e24\u8fb9\u8ddd\u79bb\u76f8\u7b49\u7684\u70b9\u7684\u8f68\u8ff9\uff0c\u662f\u8fd9\u4e2a\u89d2\u7684\u5e73\u5206\u7ebf
108 \u5230\u4e24\u6761\u5e73\u884c\u7ebf\u8ddd\u79bb\u76f8\u7b49\u7684\u70b9\u7684\u8f68\u8ff9\uff0c\u662f\u548c\u8fd9\u4e24\u6761\u5e73\u884c\u7ebf\u5e73\u884c\u4e14\u8ddd\u79bb\u76f8\u7b49\u7684\u4e00
\u6761\u76f4\u7ebf
109 \u5b9a\u7406 \u4e0d\u5728\u540c\u4e00\u76f4\u7ebf\u4e0a\u7684\u4e09\u70b9\u786e\u5b9a\u4e00\u4e2a\u5706\u3002
110 \u5782\u5f84\u5b9a\u7406 \u5782\u76f4\u4e8e\u5f26\u7684\u76f4\u5f84\u5e73\u5206\u8fd9\u6761\u5f26\u5e76\u4e14\u5e73\u5206\u5f26\u6240\u5bf9\u7684\u4e24\u6761\u5f27
111 \u63a8\u8bba 1
\u2460\u5e73\u5206\u5f26\uff08\u4e0d\u662f\u76f4\u5f84\uff09\u7684\u76f4\u5f84\u5782\u76f4\u4e8e\u5f26\uff0c\u5e76\u4e14\u5e73\u5206\u5f26\u6240\u5bf9\u7684\u4e24\u6761\u5f27
\u2461\u5f26\u7684\u5782\u76f4\u5e73\u5206\u7ebf\u7ecf\u8fc7\u5706\u5fc3\uff0c\u5e76\u4e14\u5e73\u5206\u5f26\u6240\u5bf9\u7684\u4e24\u6761\u5f27
\u2462\u5e73\u5206\u5f26\u6240\u5bf9\u7684\u4e00\u6761\u5f27\u7684\u76f4\u5f84\uff0c\u5782\u76f4\u5e73\u5206\u5f26\uff0c\u5e76\u4e14\u5e73\u5206\u5f26\u6240\u5bf9\u7684\u53e6\u4e00\u6761\u5f27
112 \u63a8\u8bba2 \u5706\u7684\u4e24\u6761\u5e73\u884c\u5f26\u6240\u5939\u7684\u5f27\u76f8\u7b49
113 \u5706\u662f\u4ee5\u5706\u5fc3\u4e3a\u5bf9\u79f0\u4e2d\u5fc3\u7684\u4e2d\u5fc3\u5bf9\u79f0\u56fe\u5f62
114 \u5b9a\u7406 \u5728\u540c\u5706\u6216\u7b49\u5706\u4e2d\uff0c\u76f8\u7b49\u7684\u5706\u5fc3\u89d2\u6240\u5bf9\u7684\u5f27\u76f8\u7b49\uff0c\u6240\u5bf9\u7684\u5f26\u76f8\u7b49\uff0c\u6240\u5bf9
\u7684\u5f26\u7684\u5f26\u5fc3\u8ddd\u76f8\u7b49
115 \u63a8\u8bba \u5728\u540c\u5706\u6216\u7b49\u5706\u4e2d\uff0c\u5982\u679c\u4e24\u4e2a\u5706\u5fc3\u89d2\u3001\u4e24\u6761\u5f27\u3001\u4e24\u6761\u5f26\u6216\u4e24\u5f26\u7684\u5f26\u5fc3\u8ddd
\u4e2d\u6709\u4e00\u7ec4\u91cf\u76f8\u7b49\u90a3\u4e48\u5b83\u4eec\u6240\u5bf9\u5e94\u7684\u5176\u4f59\u5404\u7ec4\u91cf\u90fd\u76f8\u7b49
116 \u5b9a\u7406 \u4e00\u6761\u5f27\u6240\u5bf9\u7684\u5706\u5468\u89d2\u7b49\u4e8e\u5b83\u6240\u5bf9\u7684\u5706\u5fc3\u89d2\u7684\u4e00\u534a
117 \u63a8\u8bba 1 \u540c\u5f27\u6216\u7b49\u5f27\u6240\u5bf9\u7684\u5706\u5468\u89d2\u76f8\u7b49\uff1b\u540c\u5706\u6216\u7b49\u5706\u4e2d\uff0c\u76f8\u7b49\u7684\u5706\u5468\u89d2\u6240\u5bf9
\u7684\u5f27\u4e5f\u76f8\u7b49
118 \u63a8\u8bba 2 \u534a\u5706\uff08\u6216\u76f4\u5f84\uff09\u6240\u5bf9\u7684\u5706\u5468\u89d2\u662f\u76f4\u89d2\uff1b90\u00b0\u7684\u5706\u5468\u89d2\u6240\u5bf9\u7684\u5f26\u662f\u76f4\u5f84
119 \u63a8\u8bba 3 \u5982\u679c\u4e09\u89d2\u5f62\u4e00\u8fb9\u4e0a\u7684\u4e2d\u7ebf\u7b49\u4e8e\u8fd9\u8fb9\u7684\u4e00\u534a\uff0c\u90a3\u4e48\u8fd9\u4e2a\u4e09\u89d2\u5f62\u662f\u76f4\u89d2
\u4e09\u89d2\u5f62
120 \u5b9a\u7406 \u5706\u7684\u5185\u63a5\u56db\u8fb9\u5f62\u7684\u5bf9\u89d2\u4e92\u8865\uff0c\u5e76\u4e14\u4efb\u4f55\u4e00\u4e2a\u5916\u89d2\u90fd\u7b49\u4e8e\u5b83\u7684\u5185\u5bf9\u89d2
121 \u2460\u76f4\u7ebfL\u548c\u2299O\u76f8\u4ea4 d\uff1cr
\u2461\u76f4\u7ebfL\u548c\u2299O\u76f8\u5207 d=r
\u2462\u76f4\u7ebfL\u548c\u2299O\u76f8\u79bb d\uff1er
122 \u5207\u7ebf\u7684\u5224\u5b9a\u5b9a\u7406 \u7ecf\u8fc7\u534a\u5f84\u7684\u5916\u7aef\u5e76\u4e14\u5782\u76f4\u4e8e\u8fd9\u6761\u534a\u5f84\u7684\u76f4\u7ebf\u662f\u5706\u7684\u5207\u7ebf
123 \u5207\u7ebf\u7684\u6027\u8d28\u5b9a\u7406 \u5706\u7684\u5207\u7ebf\u5782\u76f4\u4e8e\u7ecf\u8fc7\u5207\u70b9\u7684\u534a\u5f84
124 \u63a8\u8bba 1 \u7ecf\u8fc7\u5706\u5fc3\u4e14\u5782\u76f4\u4e8e\u5207\u7ebf\u7684\u76f4\u7ebf\u5fc5\u7ecf\u8fc7\u5207\u70b9
125 \u63a8\u8bba 2 \u7ecf\u8fc7\u5207\u70b9\u4e14\u5782\u76f4\u4e8e\u5207\u7ebf\u7684\u76f4\u7ebf\u5fc5\u7ecf\u8fc7\u5706\u5fc3
126 \u5207\u7ebf\u957f\u5b9a\u7406 \u4ece\u5706\u5916\u4e00\u70b9\u5f15\u5706\u7684\u4e24\u6761\u5207\u7ebf\uff0c\u5b83\u4eec\u7684\u5207\u7ebf\u957f\u76f8\u7b49\uff0c\u5706\u5fc3\u548c\u8fd9\u4e00
\u70b9\u7684\u8fde\u7ebf\u5e73\u5206\u4e24\u6761\u5207\u7ebf\u7684\u5939\u89d2
127 \u5706\u7684\u5916\u5207\u56db\u8fb9\u5f62\u7684\u4e24\u7ec4\u5bf9\u8fb9\u7684\u548c\u76f8\u7b49
128 \u5f26\u5207\u89d2\u5b9a\u7406 \u5f26\u5207\u89d2\u7b49\u4e8e\u5b83\u6240\u5939\u7684\u5f27\u5bf9\u7684\u5706\u5468\u89d2
129 \u63a8\u8bba \u5982\u679c\u4e24\u4e2a\u5f26\u5207\u89d2\u6240\u5939\u7684\u5f27\u76f8\u7b49\uff0c\u90a3\u4e48\u8fd9\u4e24\u4e2a\u5f26\u5207\u89d2\u4e5f\u76f8\u7b49
130 \u76f8\u4ea4\u5f26\u5b9a\u7406 \u5706\u5185\u7684\u4e24\u6761\u76f8\u4ea4\u5f26\uff0c\u88ab\u4ea4\u70b9\u5206\u6210\u7684\u4e24\u6761\u7ebf\u6bb5\u957f\u7684\u79ef\u76f8\u7b49
131 \u63a8\u8bba \u5982\u679c\u5f26\u4e0e\u76f4\u5f84\u5782\u76f4\u76f8\u4ea4\uff0c\u90a3\u4e48\u5f26\u7684\u4e00\u534a\u662f\u5b83\u5206\u76f4\u5f84\u6240\u6210\u7684\u4e24\u6761\u7ebf\u6bb5\u7684
\u6bd4\u4f8b\u4e2d\u9879
132 \u5207\u5272\u7ebf\u5b9a\u7406 \u4ece\u5706\u5916\u4e00\u70b9\u5f15\u5706\u7684\u5207\u7ebf\u548c\u5272\u7ebf\uff0c\u5207\u7ebf\u957f\u662f\u8fd9\u70b9\u5230\u5272\u7ebf\u4e0e\u5706\u4ea4\u70b9
\u7684\u4e24\u6761\u7ebf\u6bb5\u957f\u7684\u6bd4\u4f8b\u4e2d\u9879
133 \u63a8\u8bba \u4ece\u5706\u5916\u4e00\u70b9\u5f15\u5706\u7684\u4e24\u6761\u5272\u7ebf\uff0c\u8fd9\u4e00\u70b9\u5230\u6bcf\u6761\u5272\u7ebf\u4e0e\u5706\u7684\u4ea4\u70b9\u7684\u4e24\u6761\u7ebf
\u6bb5\u957f\u7684\u79ef\u76f8\u7b49
134 \u5982\u679c\u4e24\u4e2a\u5706\u76f8\u5207\uff0c\u90a3\u4e48\u5207\u70b9\u4e00\u5b9a\u5728\u8fde\u5fc3\u7ebf\u4e0a
135 \u2460\u4e24\u5706\u5916\u79bb d\uff1eR+r \u2461\u4e24\u5706\u5916\u5207 d=R+r
\u2462\u4e24\u5706\u76f8\u4ea4 R-r\uff1cd\uff1cR+r(R\uff1er)
\u2463\u4e24\u5706\u5185\u5207 d=R-r(R\uff1er) \u2464\u4e24\u5706\u5185\u542bd\uff1cR-r(R\uff1er)
136 \u5b9a\u7406 \u76f8\u4ea4\u4e24\u5706\u7684\u8fde\u5fc3\u7ebf\u5782\u76f4\u5e73\u5206\u4e24\u5706\u7684\u516c\u5171\u5f26
137 \u5b9a\u7406 \u628a\u5706\u5206\u6210n(n\u22653):
\u2474\u4f9d\u6b21\u8fde\u7ed3\u5404\u5206\u70b9\u6240\u5f97\u7684\u591a\u8fb9\u5f62\u662f\u8fd9\u4e2a\u5706\u7684\u5185\u63a5\u6b63n\u8fb9\u5f62
\u2475\u7ecf\u8fc7\u5404\u5206\u70b9\u4f5c\u5706\u7684\u5207\u7ebf\uff0c\u4ee5\u76f8\u90bb\u5207\u7ebf\u7684\u4ea4\u70b9\u4e3a\u9876\u70b9\u7684\u591a\u8fb9\u5f62\u662f\u8fd9\u4e2a\u5706\u7684\u5916
\u5207\u6b63n\u8fb9\u5f62
138 \u5b9a\u7406 \u4efb\u4f55\u6b63\u591a\u8fb9\u5f62\u90fd\u6709\u4e00\u4e2a\u5916\u63a5\u5706\u548c\u4e00\u4e2a\u5185\u5207\u5706\uff0c\u8fd9\u4e24\u4e2a\u5706\u662f\u540c\u5fc3\u5706
139 \u6b63n\u8fb9\u5f62\u7684\u6bcf\u4e2a\u5185\u89d2\u90fd\u7b49\u4e8e\uff08n-2\uff09\u00d7180\u00b0\uff0fn
140 \u5b9a\u7406 \u6b63n\u8fb9\u5f62\u7684\u534a\u5f84\u548c\u8fb9\u5fc3\u8ddd\u628a\u6b63n\u8fb9\u5f62\u5206\u62102n\u4e2a\u5168\u7b49\u7684\u76f4\u89d2\u4e09\u89d2\u5f62
141 \u6b63n\u8fb9\u5f62\u7684\u9762\u79efSn=pnrn\uff0f2 p\u8868\u793a\u6b63n\u8fb9\u5f62\u7684\u5468\u957f
142 \u6b63\u4e09\u89d2\u5f62\u9762\u79ef\u221a3a\uff0f4 a\u8868\u793a\u8fb9\u957f
143 \u5982\u679c\u5728\u4e00\u4e2a\u9876\u70b9\u5468\u56f4\u6709k\u4e2a\u6b63n\u8fb9\u5f62\u7684\u89d2\uff0c\u7531\u4e8e\u8fd9\u4e9b\u89d2\u7684\u548c\u5e94\u4e3a360\u00b0\uff0c\u56e0\u6b64k\u00d7
(n-2)180\u00b0\uff0fn=360\u00b0\u5316\u4e3a\uff08n-2\uff09(k-2)=4
144 \u5f27\u957f\u8ba1\u7b97\u516c\u5f0f\uff1aL=n\u5140R\uff0f180
145 \u6247\u5f62\u9762\u79ef\u516c\u5f0f\uff1aS\u6247\u5f62=n\u5140R^2\uff0f360=LR\uff0f2
146 \u5185\u516c\u5207\u7ebf\u957f= d-(R-r) \u5916\u516c\u5207\u7ebf\u957f= d-(R+r)
\u5b9e\u7528\u5de5\u5177:\u5e38\u7528\u6570\u5b66\u516c\u5f0f
\u516c\u5f0f\u5206\u7c7b \u516c\u5f0f\u8868\u8fbe\u5f0f
\u4e58\u6cd5\u4e0e\u56e0\u5f0f\u5206\u89e3 a2-b2=(a+b)(a-b) a3+b3=(a+b)(a2-ab+b2)
a3-b3=(a-b(a2+ab+b2)
\u4e09\u89d2\u4e0d\u7b49\u5f0f |a+b|\u2264|a|+|b| |a-b|\u2264|a|+|b| |a|\u2264b-b\u2264a\u2264b
|a-b|\u2265|a|-|b| -|a|\u2264a\u2264|a|
\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u89e3 -b+\u221a(b2-4ac)/2a -b-\u221a(b2-4ac)/2a
\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb X1+X2=-b/a X1*X2=c/a \u6ce8\uff1a\u97e6\u8fbe\u5b9a\u7406
\u5224\u522b\u5f0f
b2-4ac=0 \u6ce8\uff1a\u65b9\u7a0b\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6839
b2-4ac>0 \u6ce8\uff1a\u65b9\u7a0b\u6709\u4e24\u4e2a\u4e0d\u7b49\u7684\u5b9e\u6839
b2-4ac<0 \u6ce8\uff1a\u65b9\u7a0b\u6ca1\u6709\u5b9e\u6839\uff0c\u6709\u5171\u8f6d\u590d\u6570\u6839
\u4e09\u89d2\u51fd\u6570\u516c\u5f0f
\u4e24\u89d2\u548c\u516c\u5f0f
sin(A+B)=sinAcosB+cosAsinB sin(A-B)=sinAcosB-sinBcosA
cos(A+B)=cosAcosB-sinAsinB cos(A-B)=cosAcosB+sinAsinB
tan(A+B)=(tanA+tanB)/(1-tanAtanB) tan(A-B)=(tanA-tanB)/(1+tanAtanB)
ctg(A+B)=(ctgActgB-1)/(ctgB+ctgA) ctg(A-B)=(ctgActgB+1)/(ctgB-ctgA)
\u500d\u89d2\u516c\u5f0f
tan2A=2tanA/(1-tan2A) ctg2A=(ctg2A-1)/2ctga
cos2a=cos2a-sin2a=2cos2a-1=1-2sin2a
\u534a\u89d2\u516c\u5f0f
sin(A/2)=\u221a((1-cosA)/2) sin(A/2)=-\u221a((1-cosA)/2)
cos(A/2)=\u221a((1+cosA)/2) cos(A/2)=-\u221a((1+cosA)/2)
tan(A/2)=\u221a((1-cosA)/((1+cosA)) tan(A/2)=-\u221a((1-cosA)/((1+cosA))
ctg(A/2)=\u221a((1+cosA)/((1-cosA)) ctg(A/2)=-\u221a((1+cosA)/((1-cosA))
\u548c\u5dee\u5316\u79ef
2sinAcosB=sin(A+B)+sin(A-B) 2cosAsinB=sin(A+B)-sin(A-B)
2cosAcosB=cos(A+B)-sin(A-B) -2sinAsinB=cos(A+B)-cos(A-B)
sinA+sinB=2sin((A+B)/2)cos((A-B)/2
cosA+cosB=2cos((A+B)/2)sin((A-B)/2)
tanA+tanB=sin(A+B)/cosAcosB tanA-tanB=sin(A-B)/cosAcosB
ctgA+ctgBsin(A+B)/sinAsinB -ctgA+ctgBsin(A+B)/sinAsinB
\u67d0\u4e9b\u6570\u5217\u524dn\u9879\u548c
1+2+3+4+5+6+7+8+9+\u2026+n=n(n+1)/2 1+3+5+7+9+11+13+15+\u2026+(2n-1)=n2
2+4+6+8+10+12+14+\u2026+(2n)=n(n+1) 13+23+33+43+53+63+\u2026n3=n2(n+1)2/4
12+22+32+42+52+62+72+82+\u2026+n2=n(n+1)(2n+1)/6
1*2+2*3+3*4+4*5+5*6+6*7+\u2026+n(n+1)=n(n+1)(n+2)/3
\u6b63\u5f26\u5b9a\u7406 a/sinA=b/sinB=c/sinC=2R \u6ce8\uff1a\u5176\u4e2dR\u8868\u793a\u4e09\u89d2\u5f62\u7684\u5916\u63a5\u5706\u534a\u5f84
\u4f59\u5f26\u5b9a\u7406 b2=a2+c2-2accosB \u6ce8\uff1a\u89d2B\u662f\u8fb9a\u548c\u8fb9c\u7684\u5939\u89d2
\u5706\u7684\u6807\u51c6\u65b9\u7a0b (x-a)2+(y-b)2=r2 \u6ce8\uff1a\uff08a,b\uff09\u662f\u5706\u5fc3\u5750\u6807
\u5706\u7684\u4e00\u822c\u65b9\u7a0b x2+y2+Dx+Ey+F=0 \u6ce8\uff1aD2+E2-4F>0
\u629b\u7269\u7ebf\u6807\u51c6\u65b9\u7a0b y2=2px y2=-2px x2=2py x2=-2py
\u76f4\u68f1\u67f1\u4fa7\u9762\u79ef S=c*h \u659c\u68f1\u67f1\u4fa7\u9762\u79ef S=c'*h
\u6b63\u68f1\u9525\u4fa7\u9762\u79ef S=1/2c*h' \u6b63\u68f1\u53f0\u4fa7\u9762\u79ef S=1/2(c+c')h'
\u5706\u53f0\u4fa7\u9762\u79ef S=1/2(c+c')l=pi(R+r)l \u7403\u7684\u8868\u9762\u79ef S=4pi*r2
\u5706\u67f1\u4fa7\u9762\u79ef S=c*h=2pi*h \u5706\u9525\u4fa7\u9762\u79ef S=1/2*c*l=pi*r*l
\u5f27\u957f\u516c\u5f0f l=a*r a\u662f\u5706\u5fc3\u89d2\u7684\u5f27\u5ea6\u6570r >0 \u6247\u5f62\u9762\u79ef\u516c\u5f0f s=1/2*l*r
\u9525\u4f53\u4f53\u79ef\u516c\u5f0f V=1/3*S*H \u5706\u9525\u4f53\u4f53\u79ef\u516c\u5f0f V=1/3*pi*r2h
\u659c\u68f1\u67f1\u4f53\u79ef V=S'L \u6ce8\uff1a\u5176\u4e2d,S'\u662f\u76f4\u622a\u9762\u9762\u79ef\uff0c L\u662f\u4fa7\u68f1\u957f
\u67f1\u4f53\u4f53\u79ef\u516c\u5f0f V=s*h \u5706\u67f1\u4f53 V=pi*r2h
小学:速度*时间=路程工作效率*工作时间=工作总量
单价*数量=总量
(售价-进价)/进价=利润率
初中:分式A/A+B(B含有字母)
函数:A方+B方=C方
速度*时间=路程工作时间*工作效率=工作总量单价*数量=总价
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绛旓細灏忓鏁板鍏紡澶у叏 1銆侀暱鏂瑰舰鐨勫懆闀=锛堥暱+瀹斤級脳2 C=(a+b)脳2 2銆佹鏂瑰舰鐨勫懆闀=杈归暱脳4 C=4a 3銆侀暱鏂瑰舰鐨勯潰绉=闀棵楀 S=ab 4銆佹鏂瑰舰鐨勯潰绉=杈归暱脳杈归暱 S=a.a= a 5銆佷笁瑙掑舰鐨勯潰绉=搴暶楅珮梅2 S=ah梅2 6銆佸钩琛屽洓杈瑰舰鐨勯潰绉=搴暶楅珮 S=ah 7銆佹褰㈢殑闈㈢Н=锛堜笂搴+涓嬪簳锛壝楅珮梅...
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绛旓細灏忓鏁板鍑犱綍褰綋鍛ㄩ暱 闈㈢Н 浣撶Н璁$畻鍏紡 1銆侀暱鏂瑰舰鐨勫懆闀=(闀+瀹)脳2 C=(a+b)脳2 2銆佹鏂瑰舰鐨勫懆闀=杈归暱脳4 C=4a 3銆侀暱鏂瑰舰鐨勯潰绉=闀棵楀 S=ab 4銆佹鏂瑰舰鐨勯潰绉=杈归暱脳杈归暱 S=a.a= a 5銆佷笁瑙掑舰鐨勯潰绉=搴暶楅珮梅2 S=ah梅2 6銆佸钩琛屽洓杈瑰舰鐨勯潰绉=搴暶楅珮 S=ah 7銆佹褰㈢殑闈㈢Н=(...