解题方法
1 . 若函数
在区间
上单调递增,则k的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e90a7e13e29faa5acd0ef63dece869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3741faf608b0cb549d852b1037d0046c.png)
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解题方法
2 . 若球的表面积为
,则该球的半径是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b3a91ccf6028608cd03df7072f6536.png)
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3 . 函数
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81c8656a416ea0bff100550fd13fddd.png)
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4 . 某市政府计划对居民生活用水实施阶梯式水价制度,即确定一户居民月均用水量标准
(单位:
),用水量不超过
的部分按平价收费,超出
的部分按议价收费,该市随机调查了10000户居民,获得了他们的月均用水量数据,整理得到频率分布直方图(如图).如果要让该市
的居民用户的月均用水量不超出标准,那么
应为___________ (单位:
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e46bff1ba235329ed6ae1321e33f3b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ae57a17e44f2898f2ac453d482ae32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e46bff1ba235329ed6ae1321e33f3b5.png)
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解题方法
5 . 已知的
,给出下列三个结论:
①
的定义域为
;
②
;
③
,使曲线
与
恰有两个交点.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6d787582c41aa2480d63800f6b9f1e.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfab230defabd1d86366c5de037ea1d5.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec820c200592cb37867dd85b3c62f03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
其中所有正确结论的序号是
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6 . 已知
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d360794828cac510eae1d40d88b64384.png)
________
(填“>”或“<”).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d480ad03519477fb6b332cc40904a462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d360794828cac510eae1d40d88b64384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef629f8ffe51b961b5fa1ebe0c4b7641.png)
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7 . 三个人过关,甲带
元,乙带
元,丙带
元,共要交100元关税,若按照比例缴纳,乙应交___ 元.(结果保留整数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c889d1b18a0c98d18cf99b7878cec350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfef808d03e18fa99a1904ca08f92495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2f7530034abc91d11bc847602eaf5bc.png)
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8 . 已知向量
,其中
.命题p:若
,则
,能说明p为假命题的一组
和
的坐标为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72da974f283dab2c987f5dddb2f3f402.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8af740e84814052ba6b234972eb5967.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e745905cf02d7165c2a2dfddcee05f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa8f7351f41cbfc74f99de51c752ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58fbeefcb60bff9eab8243d3b4931123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72da974f283dab2c987f5dddb2f3f402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8af740e84814052ba6b234972eb5967.png)
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2024-01-17更新
|
218次组卷
|
2卷引用:北京市第一次普通高中2023-2024学年高二上学期学业水平合格性考试数学试题
解题方法
9 . 一个边长为
的正方体八个顶点都在一个球上,则球的半径为___
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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10 . 已知复数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/886f680cbf7c5db976959baeba6a6415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9c3d509e77d6a7e4874302308c2aba.png)
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