(1)计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e3983ef0dc7f77181b496e83be8635.png)
(2)解不等式组
,并把解集在数轴上表示出来.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e3983ef0dc7f77181b496e83be8635.png)
(2)解不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68bc5580ffb04cd9150ba754117eae1f.png)
更新时间:2023-03-31 23:44:36
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相似题推荐
解答题-计算题
|
适中
(0.65)
【推荐1】(1)计算:(
)﹣2+
+(π+2019)0+
tan60°.
(2)先化简,再求值:
,其中a=2020.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1625d21fa2fb85cf8c02d8e99f175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(2)先化简,再求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0132faade2d62d98c21b5bb10e0b4c.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐1】观察下列等式,解答后面的问题.
第1个等式:
;
第2个等式:
;
第3个等式:
;
第4个等式:
.
……
(1)请直接写出第6个等式:_________.
(2)根据上述规律猜想第n个等式:_________(用含n的等式表示),并给予证明.
(3)利用(2)的结论计算:
.
第1个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e651d23dd38f769a9bffd3d6e4bf5dad.png)
第2个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ad1ab457736bf163b7a9a4720e4b92.png)
第3个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7e357507316f2cf8ea76ab66a5e9d2.png)
第4个等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd96e00aa47ab08d8fd6f8c03e5e840.png)
……
(1)请直接写出第6个等式:_________.
(2)根据上述规律猜想第n个等式:_________(用含n的等式表示),并给予证明.
(3)利用(2)的结论计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16f22c2ea81dfb7f3377b0f5048baf2.png)
您最近一年使用:0次
解答题-计算题
|
适中
(0.65)
【推荐2】先阅读下列材料,再解决问题:
阅读材料:数学上有一种根号内又带根号的数,它们能通过完全平方公式及一次根式的性质化去一层根号.
例如:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d02c4d3c3869e92f5a8b5cdda1b2a01.png)
.
解决问题:化简下列各式
(1)
;
(2)
.
阅读材料:数学上有一种根号内又带根号的数,它们能通过完全平方公式及一次根式的性质化去一层根号.
例如:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d02c4d3c3869e92f5a8b5cdda1b2a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd407271190f45eda9e0912c5a67f4d.png)
解决问题:化简下列各式
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9061196452732ac0f22363f115d2f74.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f95669a01bf3733c0967ea13e22d062.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】阅读下列材料:
已知
,且
,
,试确定
的取值范围.
解:
,
,
,
.
又
,
①.
同理得
②.
由①
②,得
,
.
请按照上述方法,解答下列问题.
若
,且方程
的解适合不等式
,
,求
的取值范围,并写出
的最大值和最小值
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3571836cc85e05a58d2eec39c61bf42f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57458464618fcf619375a93d3c66d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e960fd73acccd22e10fe2b6ce5f1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f9a095134caed058394e02bce6be95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d272622f97191e9e586a55b0b982dd0.png)
又
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc4067290170eef2ba767790a123cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ff1bb3c1df0c275595488b73095065.png)
同理得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec0345ad2eb83035986f0ad4d3abaa44.png)
由①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4cd9a7068de096606d1ab991f5e6da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84f1093a544219f3a4eaf8f556f27fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee364f474b7be7e44b33c490656cd65c.png)
请按照上述方法,解答下列问题.
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16de36bb47500c4f5a3e32b76fa96950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d5fd30b483323c073788ae029b4d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74113f0b1af0b3679b635b583f4d1600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7e3b0dd2adbc3a5f0026027bc54ac3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
您最近一年使用:0次