2024高三·全国·专题练习
解题方法
1 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d04bc120a360d1445fc27c7e4d7f97.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d04bc120a360d1445fc27c7e4d7f97.png)
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2024高三·全国·专题练习
2 . 若角α的顶点为坐标原点,始边在x轴的非负半轴上,终边在直线
上,则角α的取值集合是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f3b4416a186069ad6dbe9d9c1ed76e8.png)
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解题方法
3 . 某生产线正常生产下生产的产品
的一项质量指标
近似服从正态分布
,若
,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a5be239ad8fe18f7213024282ae2c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3cf24c8b4635e77a17fa3c4425a7d9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 将指定的6名学生随机分配到3个不同的校办公室打扫卫生,要求每个办公室分配2人,则恰好甲、乙两人打扫同一个办公室的概率为______ .
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名校
5 . 已知集合
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f20286438324375659c671c26fa1cfdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924972ab1392e09a7ba76c8c6d5f3125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
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6 . 已知甲、乙两个圆台上、下底面的半径均为
和
,母线长分别为
和
,则两个圆台的体积之比![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509322d1ac9bebd7cb434c17a7ee53ec.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858005b9ae89ae080d83dcc13cf8e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3e95410f3b4fcb0cba425b521d1f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9c70db11cd811fc2ff0fff93988b3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b252300558bc5528b39b0bd8bc9b8074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509322d1ac9bebd7cb434c17a7ee53ec.png)
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真题
解题方法
7 . 记
为等差数列
的前n项和,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10efc78f08d7374ac3c896b4452adf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b1f1aa3feb43823d95f80939bcdb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
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解题方法
8 . 已知向量
,
,且
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d4806428d45917cde867c566fc5f63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe0cb67a899059fe7d775b446bf6862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49da2ac3664b1a207d4804a32d396783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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解题方法
9 . 已知等差数列
的公差
,首项
,
是
与
的等比中项,记
为数列
的前
项和,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc625e19e7ca2b9d097f67a3d472e47.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc625e19e7ca2b9d097f67a3d472e47.png)
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10 . 现要安排6名大四学生(其中4名男生、2名女生)到
,
,
三所学校实习,每所学校2人,若男生甲不安排到
学校,2名女生必须安排到不同的学校且不安排到
学校,则不同的安排方法共有______ 种.(用数字作答)
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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