解题方法
1 . 求所有的
,使
对
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e93438d2a1d82963d4e81fd74cab18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
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2 .
,求所有的
,使得
中有无穷多项为正整数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad039ab9ca99b3d62b798884e8988b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629507dcfdeb6866da428c4f45e2b21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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解题方法
3 . 设集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/572da1779063e50817003fdf378f5452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48df188a1720f0b293a350eb2f6e05c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
您最近一年使用:0次
2024-04-15更新
|
341次组卷
|
2卷引用:贵州省贵阳市北京师范大学贵阳附属中学2023-2024学年高二下学期3月第一届“圆周率”杯竞赛数学试题
解题方法
4 .
是从
中随机抽取3个不同的数排列出的最大的三位数,
是从
中随机抽取3个不同的数排列出的最大的三位数.求
的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9faa718b750cd0be91d5d9b76f948de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c804bc27c6d7423946410c8a98db66bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae370cd09065372355be1ba7b78e6423.png)
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名校
解题方法
5 . 已知定义在R上的函数
满足
,
,
,且当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e264b11a47db447a7a0a19f2c3b8900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb00fdf681e3ea2f61abbe7b33a639a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87efe223ba836313af9b050966352fd4.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024-04-11更新
|
433次组卷
|
4卷引用:湖南省邵阳市绥宁县第一中学2023-2024学年高一上学期学科知识竞赛数学试题
名校
6 . 已知向量
,
,函数
.
(1)若
,且
,求
的值;
(2)将
图象上所有的点向右平移
个单位,然后再向下平移1个单位,最后使所有点的纵坐标变为原来的
,得到函数
的图象,求函数
的单增区间,及函数
在
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9834158ab7f2eff2d27710e6df7d488e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b83a702a6cfc601af56ca96b4abf0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc1525aee9019a25cf71dc6054ec1ce.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ca1b47ff31f505df95eada1803d6052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff15c70d9c8199dad7a9af1879027f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ff0e5c78c04beea4e773185195da30.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff14bdd7f2b48c0ce6ba8696c89fbf68.png)
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名校
7 . 已知函数
,其中
.
(1)判断
的奇偶性(直接写出结论,不必说明理由);
(2)当
时,比较
与
的大小;
(3)若函数
有三个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cfd4498a1cc658b943061497345f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e23b3e7a3bae640c314bc9347ff67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123d2a9d1c04f94c4219ad15f6d6fdd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
8 . 已知函数
若
,且
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daeb462fc3e5427f9687bff7142323d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e45e961dd36b8f85703c91f248da3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec0e2a7f260009c1444c8c9e5f494837.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
9 . 如图所示,
是圆
的直径,
是圆
上一点,以
为切点的切线交线段
的延长线于点
,作
于
于
.
(1)求证:
;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d2330ed65217dfa342e5aefb58a34f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5436a255a433d253bb3573016ed579.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/26/c5ba968a-bf09-444b-a720-ebea15e52842.png?resizew=161)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fa59286f0f6578d21ca854ebd74fe9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/327a6d654db907de3c07cb3a62248364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
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名校
10 . 若实数
满足
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f9223bc24df8d429d743692fff7c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195a09b051977cc8f1489770d80fea1f.png)
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