1 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8e6d5ebef341c9f0a684cff3c8d178.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8e6d5ebef341c9f0a684cff3c8d178.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151d7cd870ada027db70b30a252c9cdc.png)
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2024七年级下·安徽·专题练习
2 . 阅读下列材料:通过小学的学习我们知道,分数可分为“真分数”和“假分数”,而假分数都可化为带分数,如:
.我们定义:在分式中,对于只含有一个字母的分式,当分子的次数大于或等于分母的次数时,我们称之为“假分式”;当分子的次数小于分母的次数时,我们称之为“真分式”.
如
,
这样的分式就是假分式;再如:
,
这样的分式就是真分式.类似的,假分式也可以化为带分式(即
整式与真分式的和的形式).
如:
;
解决下列问题:
(1)分式
是 分式(填“真分式”或“假分式”);
(2)将假分式
化为带分式;
(3)如果
为整数,分式
的值为整数,求所有符合条件的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975146a3873caf1850b0f615e7911a69.png)
如
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7c0203e4dcfb797fdb0939421f2735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7685fdea87e2c8bd9c4b916c5456fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98efc18ba76bfa079b1a4bbbbdb18661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d4ceb780d147ef10d3eaf29dda5327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa96c86a9085aeb7a57ce955200f0c80.png)
如:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559a0cf582b90e62c9bd992409b4c38f.png)
解决下列问题:
(1)分式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c943d7b6ce65c70e98d62e3664168ab.png)
(2)将假分式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07e165d945add9fcc6125a0ba69fce54.png)
(3)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f014ab6050da39a7e7891177eb5117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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真题
3 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a050fcbec5fcf6e3d88ef9bd39fdd393.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185cf15399ee5969e25aea92747e95de.png)
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4 . (1)计算:
;
(2)计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58745e28d6bb867c2161c7e6919773d4.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060aff9f45cece1a2237b76e4acc91e6.png)
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5 . (1)计算:
;
(2)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019441ab5f5e99ab8e9672da6dfa7c0a.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/956fd5b8a0dab07d9e473465f24742f6.png)
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7 . (1)解分式方程:
.
(2)化简求值:
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2415ec98229605780fbdfb21f6b23b7c.png)
(2)化简求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5019fef53bb3740349f8d1ef4c2cdab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
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8 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c889dc83a1c44597929b8f8e262242.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14571db627b75723f302354d3d57777c.png)
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9 . (1)解方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d8250bc66dfb2de8534739edfcdab6.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d8250bc66dfb2de8534739edfcdab6.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91cbf329f5a5cafa0c2e542f8713c06e.png)
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10 . 已知反比例函数
的图像经过点
,则下列关于
与
的大小关系正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71de4ef51a5b73cc7eae71c73c3cc26f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5055cdbf2b794cf03b0a4d6761853d7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001131224d035ca92f89708a848c5491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
A.![]() | B.![]() | C.![]() | D.不能确定 |
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