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解题方法
1 . 若函数
是偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9226859ddab1edb6533c7daa07853ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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2022-12-15更新
|
505次组卷
|
4卷引用:上海市曹杨第二中学2022-2023学年高一上学期12月阶段性测试数学试题
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解题方法
2 . 设
且
,
函数的图像经过的定点的坐标为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b676359febe776171e0ebc0f77444c3c.png)
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3 . 把物体放在冷空气中冷却,如果物体原来的温度是
,空气的温度是
,那么
后物体的温度
(单位:
)可由公式
求得,其中k是一个随着物体与空气的接触情况而定的正常数.现有
的物体,放在
的空气中冷却,60分钟以后物体的温度是
.要使物体的温度变为
,还要经过__________ 分钟.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cbc80c01de7c234401433fe858b7a6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea1a11e6cc8591f7fd3e8f9092e47ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5481d5a5e5f293cb87ce8d5be068097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de96374212b9a5df820d78d10e7d1291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6861ea66b004cf4b9058032e2d3df15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9160422938429afbc36e89ed4f273510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64cfedd74e243115b57e069ba28b250f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb875eea8d9f4513fabec2feea57780f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea39a9f935dc19ad090b95508ee0a99.png)
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2022-12-05更新
|
411次组卷
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3卷引用:上海市普陀区桃浦中学2022-2023学年高二上学期12月月考数学试题
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4 . 已知集合
.若
,且对任意
,
,均有
,则集合
中元素个数的最大值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d95571bc2a88917d7c8256941f0fa7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952f1e0ce5bd53a6d5e8bb07ea2da5f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d727d8a37b3142edfa0860f579399e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721e6b0ed1fb57ba7634121384ab4c1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c927d953b3bfab3221a6b3c23fcc05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-11-30更新
|
466次组卷
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2卷引用:上海市曹杨第二中学2022-2023学年高一上学期10月月考数学试题
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5 . 设
为常数,已知集合
,
,
.若集合
中所有元素之和为
,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53859a7e33a083b04c609781e90d0766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5393c4401be522984a7b3a34bb677050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8f1df735a4480e538fd1d067fbd577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 不等式
的解集用区间表示为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c7b56c00eb5d31ffde7255aa55644c.png)
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解题方法
7 . 已知全集
.若集合
、
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4f59a3fd052f229e79e5aefa517913.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/906ea02bdb4a1f6dc7d477109486c6de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70e4e0314d0f196984aa9d469cdf985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
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解题方法
8 . 若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5788f04b84d1f9cfafc08a3cec5ed95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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9 . 关于
与
的二元一次方程组
的解集为________ .(用列举法表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a67ba765c87da6654b1233b665e37ef.png)
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10 . 已知集合
)具有性质
:对任意
与
至少一个属于
.
(1)分别判断集合
与
是否具有性质
,并说明理由;
(2)
具有性质
,当
时,求集合
;
(3)记
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c0bb5aa3a43873ddf148abdc6c65f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9914fbc3b245e6d8019e3c8ea3c1fc8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13ee542834ccbb57fcc55b1680ca9db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)分别判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5018b4f7a0a9df867f49ca39393cceb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb1506c45b52467a64a40ab513d7dc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d020cd453031ae9eede7961ec78f21a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d8e8f821111de8075e5c3dfb22a5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42cf2cb0b4c96031ab79f68b7ed1018b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e76c7649b7fd956b92338f45a881f0.png)
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2022-11-21更新
|
423次组卷
|
2卷引用:上海市曹杨第二中学2023-2024学年高一上学期第一次月考(10月)数学试题