1 . 已知
是
内一点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932979fbd93c8f58f804a448d4a4983c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431e50511feb9d559aede83a55a49af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932979fbd93c8f58f804a448d4a4983c.png)
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解题方法
2 . 假设在某种细菌培养过程中,正常细菌每小时分裂1次(1个正常细菌分裂成2个正常细菌和1个非正常细菌),非正常细菌每小时分裂1次(1个非正常细菌分裂成2个非正常细菌).若1个正常细菌经过14小时的培养,则可分裂成的细菌的个数为______ .
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7日内更新
|
241次组卷
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5卷引用:2024届青海省西宁市大通县高考四模数学(理)试卷
3 . 在半径为5的球体内部放置一个圆锥,则该圆锥体积的最大值为______ .
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2024-04-22更新
|
298次组卷
|
3卷引用:青海省部分学校2023-2024学年高三下学期联考模拟预测理科数学试题
4 . 我国古代数学著作《九章算术》中记载:斜解立方,得两堑堵.其意思是:一个长方体沿对角面一分为二,得到两个一模一样的堑堵.如图,在长方体
中,
,
,
,将长方体
沿平面
一分为二,得到堑堵
,下列结论正确的序号为______ .
①点C到平面
的距离等于
;
②
与平面
所成角的正弦值为
;
③堑堵
外接球的表面积为
;
④堑堵
没有内切球.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3e58edd1f900ca82bb2a3058293f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5b14d74bdf9ed7c45b2e754b7ccc4f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/203cf047-3c7e-43ff-9a8e-fb0157d5f7d4.png?resizew=233)
①点C到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679748eab882a6be0fefd2cc300349a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81365a3726621b6557bd26f3a1a51cae.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588eb9393564a33552c4b2e8de837ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a24acb11fac4bcf6a86e3e9223a48b.png)
③堑堵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5b14d74bdf9ed7c45b2e754b7ccc4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08a01aed02ce1eaf1aaefaa0342b7ad.png)
④堑堵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5b14d74bdf9ed7c45b2e754b7ccc4f.png)
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5 . 已知数列
的前n项和为
,且
,
,若对任意的正整数n,不等式
恒成立,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d9368279ca7c18c03f2ef5ab1e89e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c116e0258980566aa652c099f382d6e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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6 . 已知有
两个盒子,其中
盒装有3个黑球和3个白球,
盒装有3个黑球和2个白球,这些球除颜色外完全相同.甲从
盒、乙从
盒各随机取出一个球,若2个球同色,则甲胜,并将取出的2个球全部放入
盒中,若2个球异色,则乙胜,并将取出的2个球全部放入
盒中.按上述方法重复操作两次后,
盒中恰有7个球的概率是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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2024-03-26更新
|
2214次组卷
|
8卷引用:青海省西宁市第十四中学2023-2024学年高二下学期期中考试数学试卷
名校
解题方法
7 . 已知M 是椭圆
上一点,线段 AB是圆
的一条动弦,且
则
的最大值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81af460f6314806e4cc3f73f3dc18a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcca0ccb05be0d3756a1130b9ac6a727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20b8469bec3fd2be0ba658cb93e1f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787dfab61ed9830b531da365e592bbd.png)
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2024-03-12更新
|
915次组卷
|
6卷引用:青海省海南州贵德高级中学2024届高三七模(开学考试)数学(理科)试题
青海省海南州贵德高级中学2024届高三七模(开学考试)数学(理科)试题甘肃省陇南市部分学校2024届高三一模联考数学试题江西省九江市同文中学多校联考2024届高三下学期3月月考数学试题内蒙古部分学校2024届高三下学期一模考试数学(理科)试题(已下线)压轴题06向量、复数压轴题16题型汇总-2(已下线)模型10 向量与解析几何问题模型
2024高三·全国·专题练习
名校
解题方法
8 . 锐角
中,A,B,C所对的边分别为a,b,c,若
,且
的面积是1,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1021b0169b6a3803e736fdf4a380436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b02a4ee2e309abde02a9fa63912204.png)
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9 . 已知等边
的边长为2,将其沿边
旋转到如图所示的位置,此时点
,
,
,
在同一球面上,且
,则该球的表面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661c78a41bfeafe1f0ce428f9d88e5b6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/453ad5ac-42bb-42e1-9cea-5d413d1ca201.png?resizew=171)
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10 . 在正四棱台
中,
,点
在底面
内,且
,则
的轨迹长度是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b893c7da2b26d7576a05bb6a887b2887.png)
![](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/d9df53c3a9b1c3691d8f216fd3139763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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