计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ed4f18cdba76209a01cca942873d78.png)
更新时间:2023-09-10 14:52:29
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解答题-计算题
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较易
(0.85)
名校
【推荐1】如图,某校有一块长为
米,宽为
米的长方形空地,中间是边长
米的正方形草坪,其余为活动场地,学校计划将活动场地(阴影部分)进行硬化.
![](https://img.xkw.com/dksih/QBM/2022/2/12/2915051518615552/2936895320752128/STEM/803d683d-5fdc-40e4-b165-a00f8bb2e439.png?resizew=216)
(1)用含
,
的代数式表示需要硬化的面积并化简;
(2)当
,
时,求需要硬化的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e778d1752cd379d1422c7313d18ada9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e28f2529c1dc1cb7eeea386e2cb179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8653ad77169d73f8983262ced1b0ed6.png)
![](https://img.xkw.com/dksih/QBM/2022/2/12/2915051518615552/2936895320752128/STEM/803d683d-5fdc-40e4-b165-a00f8bb2e439.png?resizew=216)
(1)用含
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
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【推荐2】(1)先化简再求值,
,其中a是方程
的解.
(2)已知
,求代数式
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0229889d2681a711c71861d5733fb6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccf1328602bd22b09ca55faa023a3d3.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea308b86cdfe931049dbc621518adf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3358a971ecf3df6ecb6022c5cb817740.png)
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解答题-计算题
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【推荐2】如图(1),从边长为a的正方形中剪掉一个边长为b的正方形,然后将剩余部分拼成一个长方形,如图(2).
(1)上述操作能验证的等式是______.(请选择正确的选项)
A.
B.
C.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b76c35778e7e2a8236da1195ba55842.png)
(2)已知
,
,求
的值;
(3)运用你从(1)中选择的等式进行简便计算:
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/6/174b4ac9-9d8c-432a-babc-47c8467892fb.png?resizew=433)
(1)上述操作能验证的等式是______.(请选择正确的选项)
A.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b16d88920d1bd8c826a0d4980efb737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f8d04c0862f410ed99e9c64189eadb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b76c35778e7e2a8236da1195ba55842.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3e618c350a54ad3ba7786d6ec5f275.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8641de131e86041bb4cee948569cdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0729fed9098d684327501623af9571dd.png)
(3)运用你从(1)中选择的等式进行简便计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09d05872cfacf306642762f2a7849b8.png)
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