1 . 已知直角三角形的两条直角边的长为二次方程
的两个根.则该直角三角形外接圆的面积为______ (结果用含
、
、
和圆周率
的式子表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
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2 . 已知
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615049f382743d2d5884ddbba3c15800.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3fecc7fa9662921384ba13239eb28fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615049f382743d2d5884ddbba3c15800.png)
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3 . 如图,两同心圆的半径分别为6、10,矩形
的变
、
分别为两圆的弦.当矩形面积取最大值时,其周长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/b09f8fce-c170-4abd-a62b-555892a33d07.png?resizew=152)
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4 .
表示不超过实数
的最大整数.则在平面直角坐标系
中满足
的所有点
组成的图形的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d1ed2bd10bbb49298235627d0cf06a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7825accdcb7a199a4ecfd1db6e1f9f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
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5 . 计算
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190a02346a9f688af1a3d681573e12f3.png)
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6 . 设函数
的定义域为
,且对任意
都有
.则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59165661b78e31df66059d8c9654460b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c8d0e1c42afa5e538ddb933860392d.png)
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7 . 函数
是
上的奇函数,
是
上周期为4的周期函数.已知
,且
.则
的值为.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450868427afd4832db685d1d3516c0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6637e46ad0c9f8720829facbc7ca0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4a1ae62f940829c89a79f973c1443a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e792f0c61911322c7d7836388e102f7.png)
A.2 | B.1 | C.0 | D.![]() |
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8 . 设
为正方形
内一点,
,
,
.则
的面积为.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc532cfe64300cb3da9e04a307c957a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8825d400f453c5c17a7beeb1cc9a9cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be41b05e11ba5eadaaed9a224b949774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 定义在实数集
上的函数
,对于每一个
和常数
,都满足
.若函数
的值域记为
,则.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3903dc7fd033d1100ded626d5addc98a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4313ce51dc80e29b62613e21144e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 若图中给出的函数
的图像与
轴只有一个公共点,则
为.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/1c9b958c-bc80-4d60-b5cc-f295397845c4.png?resizew=84)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a4aaf56230b8a44bf50a03136afb1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2a39beea5adf5d07aea0424ca7a64f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/1c9b958c-bc80-4d60-b5cc-f295397845c4.png?resizew=84)
A.0 | B.1 |
C.2 | D.4 |
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