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1 . 如图,D是等边
内的动点,四边形
是平行四边形,
.当
取得最大值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e5e815fc2bbf03d424b52fa920dd0e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb49c1fd097c5aafc0c9080449f5fc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d439e428bc3bf8778c274dd683f4fde9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85c758dc575f8ab30df1a75f50e236a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a704469569b68ee11ab166dba3f686f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e5e815fc2bbf03d424b52fa920dd0e.png)
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3卷引用:四川省达州市2022-2023学年高一下学期期末数学试题
四川省达州市2022-2023学年高一下学期期末数学试题上海市杨浦高级中学2023-2024学年高三上学期11月期中考试数学试卷(已下线)高一下学期期末复习填空题压轴题二十三大题型专练(1)-举一反三系列(人教A版2019必修第二册)
名校
2 . 已知
是定义在R上的函数,同时满足以下条件:①
为奇函数,
为偶函数(
,且
);②
;③
在
上单调递减.下列叙述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0379daf50030d0dcbcfdef736036af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86471447087eff68c9faeb6c5db0d3df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8a07f439f530a67ec0ff4fbbdd9695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcab0a30a59c34f918be8fcdb0d8094a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
A.函数![]() |
B.函数![]() |
C.![]() |
D.若![]() ![]() |
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3卷引用:四川省达州市2022-2023学年高一下学期期末数学试题
四川省达州市2022-2023学年高一下学期期末数学试题(已下线)第五章 三角函数(压轴题专练)-速记·巧练(人教A版2019必修第一册)四川省资阳市安岳中学2023-2024学年高一上学期1月阶段测试(示范班)数学试题
3 . 为了推导两角和与差的三角函数公式,某同学设计了一种证明方法:在直角梯形ABCD中,
,
,点E为BC上一点,且
,过点D作
于点F,设
,
.
(1)利用图中边长关系
,证明:
;
![](https://img.xkw.com/dksih/QBM/2023/6/20/3263775491006464/3265425842176000/STEM/d80ec35b6b4c44ad9d54317146a5675c.png?resizew=47)
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d8397018b0a01a1b4e9574604f9e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5427b7b994b860628df3d6b7a07de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa30a9ee227af2b387cf6e028c20d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a447d8fc6919edd758ccec4277435aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21461e9cb1265843a16d379788f3fcb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/24/b7c91a13-25b3-41d4-9180-c25f2539ec0f.png?resizew=133)
(1)利用图中边长关系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8904ac51eff2df308ed7b6a07aa2477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8b8ee28cf91c5976d074d233c941f3.png)
![](https://img.xkw.com/dksih/QBM/2023/6/20/3263775491006464/3265425842176000/STEM/d80ec35b6b4c44ad9d54317146a5675c.png?resizew=47)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952ab659a747b410974aa88748f18d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff423fa9846e49124710a2add054a8f.png)
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4 . 已知函数
,
,
,若________.条件①
关于直线
对称;②
向右平移
个单位,再向下平移
个单位得到的函数为奇函数,请写出你选择的条件,并求当
时,方程
根的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7d8aab895df660eadbed24b65bd5dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e4ac856b7ac1c163cced5db3f2b219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b795f5bca9074a486bf81b06326f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a588de02d8a8e43ac3cca2a19e41b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d5d063fe579d2329305d0718da38e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee76dc16072e3c8e22feb062c6922c5.png)
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5 . 已知函数
,满足______.
(1)求
的解析式,并写出
的单调递减区间;
(2)把
的图象向右平移
个单位,再向上平移
个单位,得到函数
的图象,若
在区间
上的最大值为
,求实数
的最小值.
在①函数
的一个零点为0;②函数
图象上相邻两条对称轴的距离为
;
③函数
图象的一个最低点的坐标为
,这三个条件中任选两个,补充在上面问题中,并给出问题的解答.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ee58fca2a7ccf244760b5ef7fd18d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)把
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.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/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97cb4449813281f46fdfaa54bf9bf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
在①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b7250030b6b7e5a477e4a596367346.png)
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6 . 下列说法正确的是( )
A.![]() | B.若![]() ![]() |
C.![]() ![]() | D.函数![]() ![]() |
您最近一年使用:0次
2023-06-19更新
|
163次组卷
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2卷引用:广西壮族自治区防城港市2022-2023学年高一下学期4月期中数学试题
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7 . 已知函数
的图象相邻两条对称轴间的距离为
,且过点
.
(1)若函数
是偶函数,求
的最小值;
(2)令
,记函数
在
上的零点从小到大依次为
、
、
、
,求
的值;
(3)设函数
,
,如果对于定义域D内的任意实数
,对于给定的非零常数
,总存在非零常数
,若恒有
成立,则称函数
是
上的
级周期函数,周期为
.是否存在非零实数
,使函数
是
上的周期为
的
级周期函数?请证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3a6f7d56d452d8a45e1ff3136c6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddcfe70fcf6c4adf6fd7b02911c2cd36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d655ee6d4c2285b6f59652360862d2.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0522ef90d8c6cb8b7953fda724f5744c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a771f2e80c8a29ed2ebd76498b0f49.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b68b92048e0821075a7fc96adf9728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e95ba2619fbee91ab707560adb1e680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf143ca6acd9bafcce6716f4e6f2d9a3.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661249bf6499017f9e5e03db3fcd93d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be4d938899fe55028288a66a42a6aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9b866a5a62adebf22d727cbe7b7f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
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3卷引用:山东省潍坊市六县区2022-2023学年高一下学期数学期中试题
解题方法
8 . 已知函数
、
在区间
上都有意义,若存在
,对于
,恒有
,则称函数
与
在区间
上为“
度接近”.
(1)若
,求证:
与
在
上为“1度接近”.
(2)若
,
(其中a,b为常数),且
与
在[4,8]上为“2度接近”,求实数a,b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ba6b6aa6c3f9faba6b03bc193a6e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c21fdece881506cac41747ce8b36016d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41faece637ee3ac3a26e1e50dda4a52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eaa42c6e6b991973ef0ce9083f31c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29fa90cc902515cfd78a50145e24a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
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9 . 已知函数
,则下列说法中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1efc5c3853230a48ce7aae44ad779f20.png)
A.![]() ![]() |
B.![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若存在![]() ![]() ![]() ![]() |
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|
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5卷引用:江苏省扬州市2022-2023学年高一下学期开学考试数学试题
名校
10 . 在平面直角坐标系xOy中,已知一列点:
,
,
,…,
,其中
,向量
.
(1)若
,求
的最小值;
(2)若正整数k,m,n满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46bb14963c38ba50c4800163ac1c0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32554852a5bdf18da8612901a7750408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50eaba5385c3a13b4b6fdab495303c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b43cdddb7092f05f90bbb1ea5e85f754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd62b9cd7eb74a09ce2b6e6e979325ce.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9365a8d485062d3ab890c6ca38605efb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e813a5a723281c096a7c0e10c9d9b6.png)
(2)若正整数k,m,n满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e517c32ed93de4d9cb6e0926337000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0a90aa8665c11a55336721a782d7ca.png)
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