差倍问题的公式 差倍问题的公式

\u5dee\u500d\u95ee\u9898\u7684\u6240\u6709\u516c\u5f0f\u662f\u4ec0\u4e48\uff1f

1 \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 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 \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 \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 \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 \u52a0\u6570\uff0b\u52a0\u6570\uff1d\u548c
\u548c\uff0d\u4e00\u4e2a\u52a0\u6570\uff1d\u53e6\u4e00\u4e2a\u52a0\u6570
7 \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 \u56e0\u6570\u00d7\u56e0\u6570\uff1d\u79ef
\u79ef\u00f7\u4e00\u4e2a\u56e0\u6570\uff1d\u53e6\u4e00\u4e2a\u56e0\u6570
9 \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 \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 \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 \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 \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)\u5c0f\u5b66\u5965\u6570\u516c\u5f0f
\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\u7684\u516c\u5f0f
\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\u7684\u516c\u5f0f
\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\u7684\u516c\u5f0f
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\u7684\u516c\u5f0f
(\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\u7684\u516c\u5f0f
\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\u7684\u516c\u5f0f
\u8ffd\u53ca\u8ddd\u79bb\uff1d\u901f\u5ea6\u5dee\u00d7\u8ffd\u53ca\u65f6\u95f4
\u8ffd\u53ca\u65f6\u95f4\uff1d\u8ffd\u53ca\u8ddd\u79bb\u00f7\u901f\u5ea6\u5dee
\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\u7684\u516c\u5f0f
\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\u7684\u516c\u5f0f
\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%)

\u548c\u500d\u95ee\u9898\u5c31\u662f\u5df2\u77e5\u4e24\u6570\u7684\u548c\u4e0e\u4e24\u6570\u7684\u500d\u6570\u7684\u5173\u7cfb,\u6c42\u8fd9\u4e24\u4e2a\u6570\u5404\u662f\u591a\u5c11\u7684\u5e94\u7528\u9898.
\u5c0f\u6570\uff1d\u548c\u00f7\uff08\u500d\u6570\uff0b1\uff09\uff08\u4e00\u822c\u7528\u5c0f\u6570\u4f5c\u6807\u51c6\u91cf\uff09
\u5927\u6570\uff1d\u548c\uff0d\u5c0f\u6570 \u6216 \u5927\u6570\uff1d\u5c0f\u6570\u00d7\u500d\u6570
\u7b49\u91cf\u5173\u7cfb\uff1a\u5c0f\u6570\uff0b\u5c0f\u6570\u00d7\u500d\u6570\uff1d\u548c
\u5dee\u500d\u95ee\u9898\u5c31\u662f\u5df2\u77e5\u4e24\u4e2a\u6570\u7684\u5dee\u4e0e\u4e24\u4e2a\u6570\u7684\u500d\u6570\u5173\u7cfb,\u6c42\u8fd9\u4e24\u4e2a\u6570\u662f\u591a\u5c11\u7684\u5e94\u7528\u9898.
\u5c0f\u6570\uff1d\u5dee\u00f7\uff08\u500d\u6570\uff0d1\uff09
\u5927\u6570\uff1d\u5c0f\u6570\uff0b\u5dee \u6216 \u5927\u6570\uff1d\u5c0f\u6570\u00d7\u500d\u6570
\u7b49\u91cf\u5173\u7cfb\uff1a\u5c0f\u6570\u00d7\u500d\u6570\uff0d\u5c0f\u6570\uff1d\u5dee

含义:差倍问题即已知两数之差和两数之间的倍数关系,求出两数。
公式:
差÷(倍数-1)=小数;
小数+差或小数×倍数=大数。

公式:
差÷(倍数-1)=小数;
小数+差或小数×倍数=大数。

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