名校
1 . 在
中,
,
为线段
上(不与端点重合)的两点,且
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b560d826b1367090d09d476c040f2cd6.png)
A.![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2023-06-29更新
|
690次组卷
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2卷引用:江苏省常州市第一中学2023-2024学年高一下学期3月月考数学试题
2 . 下列结论正确的是( )
A.![]() ![]() |
B.若![]() ![]() |
C.函数![]() |
D.函数![]() ![]() |
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解题方法
3 . 下列结论正确的是( )
A.若角![]() ![]() ![]() |
B.![]() |
C.若![]() ![]() ![]() ![]() |
D.已知![]() ![]() ![]() |
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4 . 已知向量
,
.设函数
,
.
(1)求函数
的解析式及其单调增区间;
(2)设
,若方程
在
上有两个不同的解
,求实数
的取值范围,并求
的值.
(3)若将
的图像上的所有点向左平移
个单位,再把所得图像上所有点的横坐标伸长为原来的2倍(纵坐标不变),得到函数
的图像.当
(其中
)时,记函数
的最大值与最小值分别为
与
,设
,求函数
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e799f96093d8bfb6b5a6709ec6c4f60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946b48a52deb8046aa914743976d585d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19eec7b3f71103529d3e40a5fa885663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e101a51a158ada412cb00e8eccdcaf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5226dd4e2d35264cf06db4af3b103a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac075691407fc7a2eb3fcd3dc372d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ca3aa2d1ba52e82613d0d65d800e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0862ffea88e467274cadae1d43aaae.png)
(3)若将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4091db0afc745453052bf2cdb2b6b27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa340e78e904cbfad040973ea75f3c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97375cc323000d47f4809130084d0794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ab787a669e0df3c59b7251ea61ebee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a3e257ee2da131c8886346192dcd48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4b8114fcc770a8512cf03da137ca4e.png)
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2023-03-26更新
|
852次组卷
|
2卷引用:江苏省常州市联盟学校2022-2023学年高一下学期3月学情调研数学试题
名校
解题方法
5 . 已知梯形
中,
,
,
,E为
的中点,连接AE.
(1)若
,求证:B,F,D三点共线;
(2)求
与
所成角的余弦值;
(3)若P为以B为圆心、BA为半径的圆弧
(包含A,C)上的任意一点,当点
在圆弧
(包含A,C)上运动时,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f864244952b60f3648f08a19268efae9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9575824984c3e936744641879dc3edd4.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4781e3daa2c4e018ca0ae09bb56abc0f.png)
(3)若P为以B为圆心、BA为半径的圆弧
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7aaa871ceb78e5b80b531a7cf4f1c9.png)
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2023-03-26更新
|
993次组卷
|
4卷引用:江苏省常州市联盟学校2022-2023学年高一下学期3月学情调研数学试题
解题方法
6 . 已知函数
的图象在
处的切线方程为
,
的三个顶点A,B,C在曲线
上,且顶点B的位置在顶点A和C之间,则以下结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895faeee1010f693fa376ccca28c42bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f3fa679bb55ded25a9b72a8e788cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/979afa58629eb4b8995097bdb73bedaa.png)
A.函数![]() ![]() |
B.函数![]() ![]() |
C.![]() |
D.![]() |
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名校
解题方法
7 . 对于数列
,若存在正整数M,同时满足如下两个条件:①对任意
,都有
成立;②存在
,使得
.则称数列
为
数列.
(1)若
,
,判断数列
和
是否为
数列,并说明理由;
(2)若
数列
满足
,
,求实数p的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bade4623a0b3c76e2b0447501f389a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee632cfe1cc460fbcd32b9e8a630a543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c18d0bc4997e313bc272ddc5a566221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ab9017f0c3eefa1f5f27179586713a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c9c1617a0b6a253652713676791ac8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943c93c27edb900ad23df19fb24185de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239016a408e2b0de90c20b5c7b3ec59c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c9c1617a0b6a253652713676791ac8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c9c1617a0b6a253652713676791ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613915e81a8eaf5363040516a6e27cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6aca864ee6207c4e8aefcd0972e7ce.png)
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2022-04-27更新
|
499次组卷
|
3卷引用:江苏省常州高级中学2023届高三上学期1月月考数学试题
名校
解题方法
8 . 下面问题的条件有多余,现请你在①
,②
,③
,④
中删去一个,并将剩下的三个作为条件解答这个问题,要求答案存在且唯一.
已知
中,
是
边的中点.你删去的条件是______ ,请写出用剩余条件解答本题的过程.
(1)求
的长;
(2)
的平分线交
于点
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c9bedc6ee19d6221a7999eb277b577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32513c66bca1e2d1706d50a6615df1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77f1b9b728f39d0d9618504567eeb96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b8b98b2f83279a49e94d9f48c5e6f2.png)
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
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