1 . 【阅读理解】
【材料一】
是无理数,而无理数是无限不循环小数,因此
的小数部分不可能全部写出来,但可用
来表示
的小数部分.因为
的整数部分是1,将这个数减去整数部分,差就是小数部分.由此得到一个真命题:
如果
,其中a是整数,且
,那么
,
.
【材料二】已知x,y是有理数,并且满足等式
,求x,y的值.
解:∵
,
∴
.
∴
且
,解得:
,
.
请解答:
(1)如果
,其中m是整数,且
,那么
______,
______;
(2)如果
的小数部分为a,
的整数部分为b,求
的值;
(3)已知x,y是有理数,并且满足等式
,求
的值.
【材料一】
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34e01955f8c8fe2f0041b35d8d602a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9ec2b0b6702a5f37fe8a213193dac3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e84dbb03e8c627ff11d5c7aeb0c8b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a100443e47f3bd8ff48866627c5a7b.png)
【材料二】已知x,y是有理数,并且满足等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe00100e26241feb17cd1cb89eac8651.png)
解:∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe00100e26241feb17cd1cb89eac8651.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585cc515121fe121df0224b16f310e57.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a341b2ea03c3a4f83fb27ff954d60c08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816d06ecd04291d5e52cc2c954382641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
请解答:
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/723bf2951cdc7eda95fb063854c5c5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a7f63eed0d5e6cfdcb35483f09c3c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d83024443ba4361019cfb30537075e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04eae8fe19474b653c5543b20044dc9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989342e5735d28884e4e3607a77420ba.png)
(3)已知x,y是有理数,并且满足等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d53bfbee43ef84771d82fd5330484c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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2 . 求等式中x的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535e7d499f2c6b91e2eec3586a904eb8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2be57354cd1ccd217880b92b0f09d27.png)
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3 . 在等式
中,括号的数等于____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f6b878e9a345c2d77f29665377df65a.png)
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4 . 求下列各式中x的值.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1277b945ddfed99d30510deda7fb04.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d873da7ff7ea1742c2229634b41b68b.png)
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5 . 求下列符合条件的未知数的值:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00498a076488e610552891ebf69fd9a2.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00498a076488e610552891ebf69fd9a2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8918fb7fedbf30c865d0f7a298ad6291.png)
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6 . 求出下列x的值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a98001b17b58d4f4d5e59c612d58e0c2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50881541e86d0cb573d516a743c2e75.png)
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7 . 解方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57455b7b4d89dad2087e292c4c8de117.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57455b7b4d89dad2087e292c4c8de117.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a2d9b52e3d897a288489510f297629.png)
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8 . 求下列各式中的
:
(1)
;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610ec03253d66cbc6d8adecf42705cb1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5ae3c69fab84f0e22ad26abdfd89ae.png)
您最近一年使用:0次
2024-05-16更新
|
49次组卷
|
2卷引用:湖北省咸宁市赤壁市2023-2024学年七年级下学期期中数学试题
9 . 解方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83dac6639d6b8f384854c8a7f2b5bcd6.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83dac6639d6b8f384854c8a7f2b5bcd6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c64eb146b21f764b0c03796933b3c06.png)
您最近一年使用:0次
10 . 求下列各式中x的值:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40278a0c70c59f04f568b246fbb43cc6.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40278a0c70c59f04f568b246fbb43cc6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d59fd048ddf8d82628e71576ace35db.png)
您最近一年使用:0次