名校
1 . 对于定义在
上的函数
,如果存在一组常数
,
,…,
(
为正整数,且
),使得
,
,则称函数
为“
阶零和函数”.
(1)若函数
,
,请直接写出
,
是否为“2阶零和函数”;
(2)判断“
为2阶零和函数”是“
为周期函数”的什么条件(用“充分不必要条件”“必要不充分条件”“充要条件”或“既不充分也不必要”回答),并证明你的结论;
(3)判断下列函数是否为“3阶零和函数”,并说明理由.
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f7f4cc0837a4e6dcd0072887e4e2704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe6d9f54a34762aadfdf8e2bac977cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892519541cfba6f2763cd29159bf1b02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329fb959f16f82835aa68fca9d3f08f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcda6a21da79726f8fb3ba6235b9010f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebef85c05f6d84ceb67d92abf77ba2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ace630100e64ed290d82936ad249c8.png)
(2)判断“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)判断下列函数是否为“3阶零和函数”,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab7da79b2400cf8125ef040cd056b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b15db96dc89f136a7421e09fc9814.png)
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2 . 已知有
个连续正整数元素的有限集合
(
,
),记有序数对
,若对任意
,
,
,
且
,A同时满足下列条件,则称
为
元完备数对.
条件①:
;
条件②:
.
(1)试判断是否存在3元完备数对和4元完备数对,并说明理由;
(2)试证明不存在8元完备数对.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244a73e2cab2b626e12058164680d7cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6526915197667b48dc2e6c1ff413bcf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ac49ab7c8001c209b8611b9ea40d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4a8ca987823fe459fafc1c4fd057d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa9458be5eac5e4b7fbd28850e43d96f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba54a91d651db38d3a13a461252223e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a205f096c854a2f7cd71255056f9f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9169084fc046cdf9b9831f4030f58217.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f34affbf06b09098b13a5b89c0989fb8.png)
(1)试判断是否存在3元完备数对和4元完备数对,并说明理由;
(2)试证明不存在8元完备数对.
您最近一年使用:0次
2024-02-23更新
|
268次组卷
|
2卷引用:北京市通州区2023-2024学年高一上学期期末质量检测数学试卷
解题方法
3 . 某药品可用于治疗某种疾病,经检测知每注射tml药品,从注射时间起血药浓度y(单位:ug/ml)与药品在体内时间
(单位:小时)的关系如下:
当血药浓度不低于
时才能起到有效治疗的作用,每次注射药品不超过
.
(1)若注射
药品,求药品的有效治疗时间;
(2)若多次注射,则某一时刻体内血药浓度为每次注射后相应时刻血药浓度之和.已知病人第一次注射1ml药品,12小时之后又注射aml药品,要使随后的6小时内药品能够持续有效消疗,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964609698358e6e31673615f150802ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57fa6097197c6943c40394eaceae732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35d774836119531a3eec0ee121a8585.png)
(1)若注射
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710dd2e08d422d57c65fd63f80509d84.png)
(2)若多次注射,则某一时刻体内血药浓度为每次注射后相应时刻血药浓度之和.已知病人第一次注射1ml药品,12小时之后又注射aml药品,要使随后的6小时内药品能够持续有效消疗,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 临沂一中校本部19、20班数学小组在探究函数的性质时,发现通过函数的单调性、奇偶性和周期性,还无法准确地描述出函数的图象,例如函数
和
,虽然它们都是增函数,但是图像上却有很大的差异. 通过观察图像和阅读数学文献,该小组了解到了函数的凹凸性的概念. 已知定义:设连续函数f(x)的定义域为
,如果对于
内任意两数
,都有
,则称
为
上的凹函数;若
,则
为凸函数. 对于函数的凹凸性,通过查阅资料,小组成员又了解到了琴生不等式(Jensen不等式):若f(x)是区间
上的凹函数,则对任意的
,有不等式
恒成立(当且仅当
时等号成立). 小组成员通过询问数学竞赛的同学对他们研究的建议,得到了如下评注:在运用琴生不等式求多元最值问题,关键是构造函数.小组成员选择了反比例型函数
和对数函数
,研究函数的凹凸性.
(1)设
,求W=
的最小值.
(2)设
为大于或等于1的实数,证明
(提示:可设
)
(3)若a>1,且当
时,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a7cd59277a15b4d9063be84a40d5541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a4ab6155e1fd2c8f9508efa3adcda0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f87a3affc8cd30c21af57157d156c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6933733e82337e6d4a95fc2946ff26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2697ef67790838c84cc238a0334c5d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83aa9d22736190332e01260e5a7803de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b7a76267b71e6fc828cf2a2e81173d.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21dd60e2cd1a1aae21a9c07820214290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0823f59998a025e80b46881993e89d1.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01262e3dd65728a29f3bbfa584dccede.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7425d1d31f6188375d44137c2b219b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10cda4049695561dab3e0803c3a287fe.png)
(3)若a>1,且当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89c2336e46cbbe2b978d7d8fcd340be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc069f6b9d1623e1c06879cef933e42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-02-20更新
|
332次组卷
|
2卷引用:山东省临沂第一中学2023-2024学年高一上学期期末模拟数学试题
5 . 中心对称函数指的是图形关于某个定点成中心对称的函数,我们学过的奇函数便是一类特殊的中心对称函数,它的对称中心为坐标原点. 类比奇函数的代数定义,我们可以定义中心对称函数:设函数
的定义域为
,若对
,都有
,则称函数
为中心对称函数,其中
为函数
的对称中心. 比如,函数
就是中心对称函数,其对称中心为
.
(1)判断
是否为中心对称函数(不用写理由),若是,请写对称中心;
(2)若定义在
上的函数
为中心对称函数,求
的值;
(3)判断函数
是否为中心对称函数,若是,求出其对称中心;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1da2db85b44ae9ced8c09cd19593e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1731dcd0d444734fe772f7241f39cc26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfdef3a0d2047885a06211b6a4011726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455dd8872aa8e38add43583352e91ead.png)
(2)若定义在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6257a9864ba40e27ef9cd745522d9ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b83b9c3e472efa966b4fc82164d090c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(3)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818dc6fbaf4a5a4830f3f0adab6c25f7.png)
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解题方法
6 . 给定函数
与
,若
为减函数且值域为
(
为常数),则称
对于
具有“确界保持性”.
(1)证明:函数
对于
不具有“确界保持性”;
(2)判断函数
对于
是否具有“确界保持性”;
(3)若函数
对于
具有“确界保持性”,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1157f2f84b47189111e6a4a8df20a2d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b31c5baad696f1c8a6649f5f1b7db3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c507cb0dc052053246046794a94af091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a6ade5938be11bba2c4be44409e39b9.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa1c68cebf2203d277f61cfdbacf175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d700334295b23984fbe9409474181b.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdef85d50578d84a92ffcc754f7afddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048232ecf4f4654fc82d18dab8150107.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 若对任意的
在区间
上不存在最小值,且对任意正整数n,当
时有
,
(1)比较
与
的大小关系;
(2)判断
是否为
上的增函数,并说明理由;
(3)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39ccc4701aa9da72f35581c3451e042.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d1288c575c8cdce97930bc32c423b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b66875df124e8b7255feaea8e0c40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea1ba78ae2c541ac99bd30802e0e1cf.png)
(1)比较
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/951be8222c47cc238f89d63d2ea01df5.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03db4ea1dcb63b22cf4e917df5db581e.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b67cac8abe9566def881056297caf0d.png)
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8 . 如图,已知直线
,
分别在直线
,
上,
是
,
之间的定点,点
到
,
的距离分别为
,
,
.设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/947a1fd9-bd67-4420-9249-8d6f167bd310.png?resizew=156)
(1)用
表示边
,
的长度;
(2)若
为等腰三角形,求
的面积;
(3)设
,问:是否存在
,使得
?若存在,请求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289a5d041c76475437bf2ab8d1169280.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/947a1fd9-bd67-4420-9249-8d6f167bd310.png?resizew=156)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73f691e91c1a725fbd6fd3d719a24b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600369eee391636a0d3ab5e9d9bf655e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
您最近一年使用:0次
2024-01-31更新
|
395次组卷
|
2卷引用:河北省唐山市2023-2024学年高一上学期期末考试数学试题
解题方法
9 . 在数学中,不给出具体解析式,只给出函数满足的特殊条件或特征的函数称为“抽象函数”.我们需要研究抽象函数的定义域、单调性、奇偶性等性质.对于抽象函数
,当
时,
,且满足:
,均有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367936b458618efb6b2eadc843e5d6ba.png)
(1)证明:
在
上单调递增;
(2)若函数
满足上述函数的特征,求实数
的取值范围;
(3)若
,求证:对任意
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6571b33b56c6cd88f2f6e091031bcf40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367936b458618efb6b2eadc843e5d6ba.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c5f8b7a1a268c904d04356f0d1b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be9b79f42bbf0de1851607050c3e8d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219598f1289ddb370d632ea141731d52.png)
您最近一年使用:0次
名校
解题方法
10 . 如图是一种升降装置结构图,支柱
垂直水平地面,半径为1的圆形轨道固定在支柱
上,轨道最低点
,
,
.液压杆
、
,牵引杆
、
,水平横杆
均可根据长度自由伸缩,且牵引杆
、
分别与液压杆
、
垂直.当液压杆
、
同步伸缩时,铰点
在圆形轨道上滑动,铰点
在支柱
上滑动,水平横杆
作升降运动(铰点指机械设备中铰链或者装置臂的连接位置,通常用一根销轴将相邻零件连接起来,使零件之间可围绕铰点转动).
的长为
,求水平横杆
的长和
离水平地面的高度
(用
表示);
(2)在升降过程中,求铰点
距离的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0101a7b5c8a4aed0de2af363792e39a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0101a7b5c8a4aed0de2af363792e39a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f9651b17b98d75a87a7e502202d32e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a987d8689e9a5556f98c37ea485afeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7a3e520a16d4fdd73c4e6a4ce7be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62e8aadaadebf1454fde21a390ebdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b49022a6f55817b5d7e3ab443b5491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971b23e3ee827018557d6c88edd5369a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b49022a6f55817b5d7e3ab443b5491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971b23e3ee827018557d6c88edd5369a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7a3e520a16d4fdd73c4e6a4ce7be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62e8aadaadebf1454fde21a390ebdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7a3e520a16d4fdd73c4e6a4ce7be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62e8aadaadebf1454fde21a390ebdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f268424db595e480bbd58f1b7a2e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09af0df7030bbefc8711456da8d87b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0101a7b5c8a4aed0de2af363792e39a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107fd7b3176ecb59eba848fe8d87d114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598c4ff9fc8518fa4829e39254d3f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)在升降过程中,求铰点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09af0df7030bbefc8711456da8d87b38.png)
您最近一年使用:0次
2024-01-29更新
|
433次组卷
|
3卷引用:浙江省台州市2023-2024学年高一上学期1月期末数学试题
浙江省台州市2023-2024学年高一上学期1月期末数学试题湖北省襄阳市第四中学2023-2024学年高一下学期质量检测(一)数学试题(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)