名校
解题方法
1 . 若
,
,使得
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4598cc5d24e6af27e60e0857b1f4489a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab58b21c5de3a91db6c001d410b2eff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377a2333ff8c63cbdb20b882d6d5a7ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
名校
2 . 对集合
,定义![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca578919b59d25a1bb2b5ea8e33da46.png)
①若
的元素个数为4,则
可以为:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
________ (写出一组即可)
②若集合
满足:存在
的子集
,使得
的元素个数不小于100,且对任意
,均有
,则集合
的元素个数的最小值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca578919b59d25a1bb2b5ea8e33da46.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e37e656d05244fe3a5769cd1446725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
②若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e37e656d05244fe3a5769cd1446725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a5235dcfd51f1ba4c1ee0037e167c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dfa843f0c5458e8b9ad3244680f7679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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解题方法
3 . 已知函数
给出下列四个结论:
①若
有最小值,则
的取值范围是
;
②当
时,若
无实根,则
的取值范围是
;
③当
时,不等式
的解集为
;
④当
时,若存在
,满足
,则
.
其中,所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff4e0cfa86f6d91ff0b3cdb3251393b.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6cc71d0c988d725b25c55c2672919c.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976d18a5396ba232f0aa38d136f1d749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1606791e5eeefbf298210543e01dd4.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5bcfb3bafe8373dd907e0e55d08f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168fef6477a494abceae56fb6c2e4c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b61bb7cb94b4d06f0090df1e365667.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339de01d9636343c484391b421c31301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ec808ad60dbf016632ec816eaca1df.png)
其中,所有正确结论的序号为
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2023-11-02更新
|
836次组卷
|
5卷引用:北京市第一零一中学2024届高三上学期10月月考数学试题
名校
解题方法
4 . ①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1949c16c9ec825ccaa44d6dfa035cd27.png)
__________ ;②函数
是奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1949c16c9ec825ccaa44d6dfa035cd27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd4c376341ef560d62dd62c422a98d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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5 . 小华同学学完集合的基本运算后,自己定义了如下集合运算:
且
,小华列举了如下命题:
①任意集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86226e5a06894e5c79443dd11301906.png)
②任意集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c99aba48aeaf828dff4b78b2be7c4f.png)
③任意集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14740a7d5ae646ae5df77b9b1da491a2.png)
④若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3965328b0ac0b62252134c8ccd05512.png)
其中,所有正确命题的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7d57c35075ba85f4e524d06fb4cffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bb7c317f907cd7fda5ae49b24f2d41.png)
①任意集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86226e5a06894e5c79443dd11301906.png)
②任意集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22c99aba48aeaf828dff4b78b2be7c4f.png)
③任意集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14740a7d5ae646ae5df77b9b1da491a2.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3965328b0ac0b62252134c8ccd05512.png)
其中,所有正确命题的序号是
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6 . 已知
为定义在
上的非常数函数,且
,
设
,
,若
,给出下列四个结论:
①
;②
;③
;④
有最小值.
其中所有正确结论的序号为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a650f536865c09e0c1b51134cdabfa.png)
设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6195308452ad6fd0f645fd16dd9f989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad7e1e1da7f0c1c3356276f1523c12f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f149c425ef684f8b8da6243c6bcb0df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f829a897860dc7dd01b8a09f1a042eff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d4fcb22b9ef5b847927d6d3437e024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
其中所有正确结论的序号为
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7 . 在数列
中,
下列说法正确的是___________ .
①若
,则
一定是递增数列;
②若
则
一定是递增数列;
③若
,
则对任意
,都存在
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b37bd815de95e617040fa45fdbd6c7.png)
④若
,且存在常数
,使得对任意
,都有
则
的最大值是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50dc7d5caaa6bcb1436a6aa839bf001d.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d01cb00904ee16178c7c35d7e0a8d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691ec1577c98b333a004eea38bc78252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d561652db46e57667cd881a09aa0f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaf0d4a31a24673fb52fb58c40523f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b37bd815de95e617040fa45fdbd6c7.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9933c60834f3b24ff2abe352282268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbfc82fe1ad8c56551ffe0b065ed11a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
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8 . 用反证法证明命题“对任意
,都有
时,应首先“假设___________ ”,再推出矛盾,从而说明假设不能成立,原命题为真命题.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397220a2025730da198a1ee02fef1b76.png)
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9 . 某游乐园的摩天轮采用了国内首创的横梁结构,风格更加简约,已知该摩天轮从最低位置开始运行,乘客距离地面的距离
(单位:米)会随摩天轮的运行时间
(单位:分钟)的变化而变化.经长期观察,曲线
可近似看成函数
的图象.在运行一圈的时间里,观察了如下的数据:
由于受到周边建筑物的影响,乘客与地面的距离超过34米时,可视为最佳观赏位置,在运行的一圈里最佳观赏时长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb5bf7b5aa71b3a19b97b769fafaa13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0f23d873fc1231114cdde99adea817.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/29/e1cd7659-f4b3-45c9-8e48-d70706b0fd2c.jpg?resizew=149)
![]() | 0 | 3 | 4.5 | 6 | 9 | 12 | 13.5 |
![]() | 12 | 34 | 56 | 78 | 100 | 78 | 56 |
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10 . 如图,在加工一个零件时,需要计算A,C两孔中心的距离,已知
mm,
mm,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
______ mm.(精确到0.01mm)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38be44afa541f39280be2812458a2200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a66dccdb38871e91cd622e67832d337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2e30ffe627436f57ecf46b89c57bb21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
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2023-10-09更新
|
120次组卷
|
6卷引用:黄金卷01
(已下线)黄金卷01北师大版(2019)必修第二册课本习题第二章6.1余弦定理与正弦定理(已下线)6.4.3 第3课时 余弦定理、正弦定理应用举例【第二练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)6.1 余弦定理与正弦定理(已下线)江苏省南京市六校联合体考试2023-2024学年高一下学期4月期中数学试题变式题11-15北师大版(2019)必修第二册课本例题6.1 余弦定理与正弦定理