2022-08-12 06:30:19 +00:00
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# 均贫富
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2022-08-16 05:56:50 +00:00
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姐姐：🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 16个
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2022-08-16 05:58:08 +00:00
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弟弟：🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 10个
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2022-08-16 05:56:50 +00:00
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问题：姐姐给弟弟几个苹果后两个人的苹果就一样多了？
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2022-08-12 06:30:19 +00:00
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## 解法1
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2022-08-16 05:46:33 +00:00
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$
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\begin{aligned}
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2022-08-16 05:57:43 +00:00
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a - x &= b + x &(a \in \Bbb{N}, b \in \Bbb{N}, a>b) \\\\
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2022-08-16 05:46:33 +00:00
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2x &= a - b &(移项并交换等式两侧) \\\\
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2022-08-16 05:48:00 +00:00
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x &= \dfrac{a-b}{2} &(等式两侧同除以2)
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2022-08-16 05:46:33 +00:00
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\end{aligned}
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$
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2022-08-12 06:30:19 +00:00
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## 解法2
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2022-08-16 05:47:38 +00:00
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$ x = \dfrac{a+b}{2} - b $
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