将4个数
排成两行,两列,两边各加一条竖直线记成
,定义
.上述记号叫做2阶行列式,若
.求x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35893041a02be39c9d0c1e9b329556eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29320f184b4027471a2951527457453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fec025453bac0d34d5e9bdf61a6755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3db6898bb9a518ac6ea84c8f2f92991.png)
23-24八年级上·甘肃定西·阶段练习 查看更多[2]
甘肃省定西市陇西县渭州学校2023-2024学年八年级上学期第二次月考数学试题(已下线)考题猜想04 整式的乘法与因式分解(培优+拔高必刷55题16种题型)-2023-2024学年七年级数学下学期期中考点大串讲(苏科版)
更新时间:2024-03-15 08:37:54
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【推荐1】定义一种新运算“
”:当
时,
;当
时,
.
(1)如果
,求
的取值范围;
(2)如果
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de59722cc38ed712dba9f53e360cda0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dc10fb4dd663c30d622df8efadb5d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3798d6c2e5eac9c1d8b044efd5081acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3092b67656e3ecd97254e2649adb40.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4176bae62e29b851d2c89308ad012575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ced28fd8fc4b7d5de1723856d7019c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
【推荐2】对于两个不相等的实数a、b,定义一种新的运算如下,
,如:
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eeb1f957f8789a4605e0285fe78d49d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7475616eba61e570c1f71e4fd1f1c68e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86e97025dbe8a8c5d1d8c151b20bb2c.png)
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名校
【推荐1】先化简,再求值:(x+2)(x﹣2)+x(4﹣x),其中x=
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f8657de54481172ca9179c88c0c4c7.png)
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【推荐1】计算:
(1)
;
(2)(
+
)2﹣(
+
)(
﹣
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef4046e09f4c1f218b144a718ba25c2.png)
(2)(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
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【推荐2】观察下列式子:
①
,
②
,
③
,
(1)根据你发现的规律,请写出第
个等式:______.
(2)试用所学知识说明你所写出的等式的正确性;
(3)请写出第
个等式:______.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63885d1b12aa2b763680388bccfa70db.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a899473816577bbf62ad270a0846aa.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f4f95e074c49806c35aae0bf58ead38.png)
(1)根据你发现的规律,请写出第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)试用所学知识说明你所写出的等式的正确性;
(3)请写出第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821b8672d030c240ff230a0174aa7a3d.png)
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