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1 . 解方程:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508db2eb1c255422417454ea51172eaa.png)
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2 . (1)化简:
;
(2)解方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cddc93fa4b1671ff6d5bf35e22b837c.png)
(2)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dee114206e103343fa7e890f0d844ac.png)
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3 .
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c80ec8d04e4719bf4a34f807c61f34.png)
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4 . 如果
是关于x的方程
的解,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af54aae6203560d7029d4a834cdec97d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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5 . 解方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0656fc89d3d26af52d2441c8f1d5b841.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0656fc89d3d26af52d2441c8f1d5b841.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040b7f6c1c1fceb49b55578b62104d3b.png)
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6 . 解方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c432af32acd6043cbd6d642104ca0f.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da1af5d3338e57859db8709c49ca353.png)
(3)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c432af32acd6043cbd6d642104ca0f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da1af5d3338e57859db8709c49ca353.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b6c73308155c4a1da3d6a4974e5ae5c.png)
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7 . 解方程:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5353df6abe6d6f6877e9fe5f0fe89396.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64ea5c2d20e0685a3f7b2d66c4badb4.png)
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8 . 观察下列式子,定义一种新运算:
;
;
;
.
(1)请你想一想:
______;(用含
的代数式表示);
(2)如果
,那么
______
(填“
”或“
”);
(3)如果
,请求出
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7d495b4be40709f4d07f345e0d55499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7159961a2fea219dc07d75c49b54c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba16d242b6892e858c1d220ecc88d8a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9106225325027bc4e43a884db163b41e.png)
(1)请你想一想:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd22115fcbff0995a072ec857206fd0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958bd270a90b9fbe73d2951b97a2d3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e238716334fdacd0f335e8a8e1ca187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411837b4b3078d05b43cb0439259a362.png)
(3)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e6f22f25e2cd869bd097f7c9025c92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 如果一元一次方程
:
的解.
和一元一次方程
:
的解
满足
,则称方程
为方程
的
时方程.例如:方程
是方程
的0时方程;方程
是
的1时方程.
(1)下列选项中方程
是方程
的2时方程的有______;
①
:
;
:
②
:
;
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9ce29c549fe1ed435fae0510b30dce.png)
③
:
;
:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3338ca1f8fd3fd6278e1828c01375a15.png)
(2)若关于
的方程
是关于
的方程
的
时方程,求
的值;
(3)若关于
的方程
:
的解比关于
的方程
:
的解大1,并且方程
是方程
的
时方程,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ddf68448b62a8da683ac4da36e6279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971905ea129aec0ca7c325f60260c7e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca8568ae98b695038e7f7df5449883b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd86badb20015aa65328fda1e43a117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4adc2ae00607fd2370b678f84e5cebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f374234de404834e8d4b2d7345cfb249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9378f4030a56301dfdf892c0b36182b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6941cf6070c21ab85d45bec0684f8796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3338ca1f8fd3fd6278e1828c01375a15.png)
(1)下列选项中方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2126cb556074fa2ff7beaac5bffa1d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae10d8fbb62394f2e467ec7faf7acad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196149ed1b573569f0b7acdd02a67198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9ce29c549fe1ed435fae0510b30dce.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3749da34339ddc300cfbe455b71b42cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3338ca1f8fd3fd6278e1828c01375a15.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9826abeb522829a8544cbb6202425da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cef9bc4ee595ffd53fb0f291d29fb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f7ab0c2c920d29b8e88498a2ef6e78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894db92b2f241bc8f76ec70b6d27feb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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10 . 已知关于x的方程
是一元一次方程.
(1)求k的值;
(2)若已知方程与方程
的解相同,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae0023fb4bc8ab91226d856f8f80172.png)
(1)求k的值;
(2)若已知方程与方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b71bfa673cd185d07d6ba30c98eab2.png)
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2023-12-07更新
|
175次组卷
|
7卷引用:北京市昌平区北京人大附中昌平学校2019-2020学年七年级期中数学试题