已知
求值:
(1)
;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8815060140ffe1042ee2dd65b20a9c1c.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86c5b46e81044efa7090be7ae678ff72.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdadd746639723756b206040390c5480.png)
更新时间:2024-05-24 14:35:27
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相似题推荐
解答题-计算题
|
适中
(0.65)
【推荐1】计算:(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89427152744da356d402faed811af55c.png)
______ (2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4085c27f27a2f41ae3469d9310ccec.png)
______ (3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f931f00c2ed582357c255d3b947473f2.png)
______
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf8cb37131cbad8e17f0f72a8df55e5d.png)
______ (5)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9fe9cc47e47d9a039025ccd98e9d5b1.png)
______ (6)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49c3fd9f848d9329b40daa6e277cdfd.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89427152744da356d402faed811af55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb4085c27f27a2f41ae3469d9310ccec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f931f00c2ed582357c255d3b947473f2.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf8cb37131cbad8e17f0f72a8df55e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9fe9cc47e47d9a039025ccd98e9d5b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f49c3fd9f848d9329b40daa6e277cdfd.png)
您最近一年使用:0次
解答题-计算题
|
适中
(0.65)
【推荐2】(1)计算并观察下列各式:
(x1)(x1) ;
(x1)(
x1) ;
(x1)(
x1) ;
(2)从上面的算式及计算结果,你发现了什么?请根据你发现的规律直接写下面的空格.(x1)
1;
(3)利用你发现的规律计算:
;
(4)利用该规律计算:
.
(x1)(x1) ;
(x1)(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
(x1)(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
(2)从上面的算式及计算结果,你发现了什么?请根据你发现的规律直接写下面的空格.(x1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e06f5fe6e701f1bceaaca31071b564b.png)
(3)利用你发现的规律计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cb2ce488be2dec8fcdb265f9159ecc0.png)
(4)利用该规律计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91f97f2793ca45b43e38688d1fe181e.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐1】我们学习了完全平方公式
,把它适当变形,可解决很多数学问题.
,求
的值.
解∶![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b67b3a65909c0ac2dcf9adc6af3ad73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f6a29706c485323bb9e94406cfe9a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a71a424876b656cdd2f68ff2139e67.png)
又![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7427890e2fde137311c806dc120d4b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd0e5f791cd489a95676fbabae1fc90.png)
根据上面的解题思路与方法,解决下列问题:
(1)若
,求
的值;
(2)①若
,则
___________;
②若
,则
________________;
(3)如图点C是线段
上的一点,以
为边向线段
的两侧作正方形,已知
,两正方形的面积和
20,求图中阴影部分的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f969a818459bb516640128d7b67149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210c8d3ef585c1452d842080150f625e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0768241a1ba2d8c7fdc27ee54eeea4f1.png)
解∶
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b67b3a65909c0ac2dcf9adc6af3ad73a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f6a29706c485323bb9e94406cfe9a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a71a424876b656cdd2f68ff2139e67.png)
又
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7427890e2fde137311c806dc120d4b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdd0e5f791cd489a95676fbabae1fc90.png)
根据上面的解题思路与方法,解决下列问题:
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366b1d85f13dfcf658bc6a5a06d1a900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
(2)①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7358d240fe3e4075592ab79a5325b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739edb511f1042e00679686147e6d6d3.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1147e4e111ff9a2e5de8369be68e6ece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa088cfccfb62e3d51bf6cf2dc6f63fa.png)
(3)如图点C是线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ed1fce01430ae31294c29d626626f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d0c1821ee87131a79831e234b6f3a6.png)
您最近一年使用:0次
解答题-计算题
|
适中
(0.65)
【推荐2】若x满足
,求
的值.
解:设
,
,
则
,
.
∴![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5d51e17eacd160a505976294a1d1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba125800abf66f4cbdf8d115198796c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d588b98446661b10b1f3a07e6b9515b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02665325a32beb7373cf00cb040269de.png)
.
(1)若x满足
,求
的值.
(2)若x满足
,求
的值.友情提示(2)中的
可通过逆用积的乘方公式变成
.
(3)若x满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc0f13b4989bed8a2099659b515ff5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5d51e17eacd160a505976294a1d1b2.png)
解:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7dee83755e0766e9fc4f7db97adc31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7017f4eab732b8c3271c2cff63454519.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d3519124747c812acb13832eb16056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14fdfde8088fa31b1344143c6ac1f879.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5d51e17eacd160a505976294a1d1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba125800abf66f4cbdf8d115198796c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d588b98446661b10b1f3a07e6b9515b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02665325a32beb7373cf00cb040269de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57d5f4dd307af27a25fa23bb30e8c84d.png)
(1)若x满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84201f8a51d03f9fa2f373044a723ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb74aa747f993c07e35507c39ed745b9.png)
(2)若x满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9305da57583c15139d886643c3176b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898256f3bd09dd31bf7adbe1c912d5a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea61d050fbbf7a791014065c47a27bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13cd3e010804b574462aa3f65a20c75a.png)
(3)若x满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81046061b5ff335700566be98dd207d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f3c85c8545a76f2179bd0a648d9b1a.png)
您最近一年使用:0次