2023高三·全国·专题练习
1 . 若单项式
与
是同类项,则这两个单项式的和为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e27e5d871f785430f18c449bc6fae8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3541732ef633e339f210236a9eba7862.png)
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2 . 在
中,如果
,
满足
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459459559720ab5e154a80723c47cc30.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57bb97b3c5c9b03d27b03e7dd9438226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459459559720ab5e154a80723c47cc30.png)
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2023高三·全国·专题练习
3 . 小明用
计算一组数据的方差,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe4097387e31b532247fc388ec051e7.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559c2f4a994fdbd07202bb95fc85898c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe4097387e31b532247fc388ec051e7.png)
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2023高三·全国·专题练习
4 . 若
,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d10ef7e751fadaf4d3cf90d1bcc4997c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae80131e0591efa4c612a56191723066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d8fb5d77fb9034aad2cb9ecf6be5aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
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2023高三·全国·专题练习
5 .
、
是自然数,规定
,则
的值是______
![](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/0f7fb917ef9c8ff622a9641675ecc866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2adb0e0a4789a3547969c807b072380a.png)
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2023高三·全国·专题练习
6 . 已知
是
的立方根,
是
的平方根,则
的算术平方根为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/332e71982612ea86c28b9f2054b1045c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61420a99f982aacabdd76a9bf8ec318e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36531e6ddd695efd9f8d3a96acca949.png)
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2023高三·全国·专题练习
7 . 当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
______ 时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894ab58cf29a4811f1fd58cb86385765.png)
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8 . 如图,已知正三棱柱
的底面边长与侧棱长相等.蚂蚁甲从A点沿表面经过棱
、
爬到点
,蚂蚁乙从B点沿表面经过棱
爬到点
.设
,
,若两只蚂蚁各自爬过的路程最短,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9fcaa804011c37873b03ee284504fe.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482002db587fa5dcc33454ebe5ace500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f06b97c92787c7d726a9c3efc40953.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9fcaa804011c37873b03ee284504fe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/17/88c1b63d-d1ec-476b-8743-bed2d801c2f6.png?resizew=144)
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2023高三·全国·专题练习
9 . 已知
是正整数,若
是整数,则满足条件的有序数对
为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3c3b586b1131122a62f591b09c118c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
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