1 . 解下列各题:
(1)因式分解:
;
(2)化简:
;
(3)解不等式:
.
(1)因式分解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67937744c84defc44075d1b4486c3947.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2d0d80ed900dfc56b4a5f87bf7cb72.png)
(3)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db7dc6d6d563e64470ad7c0196b75a3.png)
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2 . 甲、乙两位同学在求方程组
的解集时,甲解得正确答案为
,乙因抄错了c的值,解得答案为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5225982e0f2e1f8b47df08480d501654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ce0be6ed4a3f0eee99bb6f20911e53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b47d69260bb8ba59d6da90d068dde0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b1568303e147cf1e1c133c189be4afb.png)
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2021-12-08更新
|
697次组卷
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6卷引用:1.1 集合的概念与表示
3 . 解决下列问题:
(1).计算:
.
(2).先化简,再求值:
,其中x的值是从
的整数值中选取.
(1).计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc6fd279402023728cbb3b792573131.png)
(2).先化简,再求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1866f637c56c20d2fa9493c532656db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b13d3854ea2671a9ae5be5b69a573e.png)
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2022高一·全国·专题练习
名校
4 . 阅读材料,解答问题:
我们可以利用解二元一次方程组的代入消元法解形如
的二元二次方程组,实质是将二元二次方程组转化为一元一次方程或一元二次方程来求解.其解法如下:
解:由②得:
③
将③代入①得:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1714027be9f26182ab66294263adf804.png)
整理得:
,解得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afdfac2f5a0b9460d2d7624c0cad7a2c.png)
将
代入
得
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b5200bd6fb1226f25df9910d8a3cd2.png)
原方程组的解为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d50ffc2e556df09c64785f4a5e021f9.png)
(1)请你用代入消元法解二元二次方程组:
;
(2)若关于
的二元二次方程组
有两组不同的实数解,求实数
的取值范围.
我们可以利用解二元一次方程组的代入消元法解形如
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e3b8d71418f5c403442e3622ff15f8.png)
解:由②得:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daab03b1642f1ea187c94f62088ac0fd.png)
将③代入①得:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1714027be9f26182ab66294263adf804.png)
整理得:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b0b55c3297ce66c96d1559d76971f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afdfac2f5a0b9460d2d7624c0cad7a2c.png)
将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afdfac2f5a0b9460d2d7624c0cad7a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03a61ce26a085d6795f14cc796261928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b5200bd6fb1226f25df9910d8a3cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d50ffc2e556df09c64785f4a5e021f9.png)
(1)请你用代入消元法解二元二次方程组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da525cadd9c7c74b9b8cd54e102358c.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d708cb763716467219215cdc0782c0a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2a91645204925ba25b0992fedbdcbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 下列各组中的值是方程组
的解的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d64452e4c5b3395ac64b1010f8c34df.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 解方程组
的解为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b675fe0cddb715e4bc6c8379befd37.png)
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2020-02-20更新
|
113次组卷
|
3卷引用:江苏省南通市启东中学2018-2019学年高一上学期期初数学试题
江苏省南通市启东中学2018-2019学年高一上学期期初数学试题(已下线)2.1 曲线与方程(基础练)-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)沪教版(2020) 必修第一册 精准辅导 第2章 2.1(1)等式的性质与方程的解集
23-24高一·江苏·假期作业
7 . 已知关于x的方程
的解满足不等式
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e74c57cc91db9568989f542843050fd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33471e1bddb657841f5e0038f0cbc280.png)
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8 . (1)求下列方程组的解集![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ffca4633e893aa70f4eeedc5658c0d.png)
(2)求下列不等式组的解集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ffca4633e893aa70f4eeedc5658c0d.png)
(2)求下列不等式组的解集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/313545ff9367e5f946361e2753b1c3fb.png)
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2019-10-21更新
|
167次组卷
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2卷引用:江苏省镇江市镇江中学2019-2020学年高一上学期第一次月考数学试题
名校
9 . (1)先化简,再求值:
,其中
.
(2)先化简;再求值:当
时;求代数式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee6c509313fac5387d910b661e5ff1.png)
(3)关于
的代数式
的值与
无关,求
的值.
(4)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb05868da64493f9a2c4dc3871011a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8f878ab71705ccae99bfc9a32c8b8e.png)
(2)先化简;再求值:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad202ed8c2aea4e055f9dc62f581bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee6c509313fac5387d910b661e5ff1.png)
(3)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f9c5f751a21b4c026144b6f2782e24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(4)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe924053218702aa2a43139bf611c2f.png)
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10 . 已知抛物线
与双曲线
的交点A的横坐标是1,则关于x的不等式
的解是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b629bea8e22de9bfc49158e2289871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0bce5d244c8c4e504d66b27ce047a49.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/10/005a7ba9-231c-4b35-8c3b-0ca01debbcaa.png?resizew=154)
A.![]() ![]() | B.![]() |
C.![]() ![]() | D.![]() |
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