1 . 已知
,
(1)求函数
(
)的单调递增区间;
(2)设
的内角
满足
,而
,求
边上的高
长的最大值.
![](https://img.xkw.com/dksih/QBM/2015/7/24/1572193294712832/1572193300725760/STEM/83e5abf0f64244aabb949b245303775c.png)
(1)求函数
![](https://img.xkw.com/dksih/QBM/2015/7/24/1572193294712832/1572193300725760/STEM/6eff9a4831414821884133478d49890c.png)
![](https://img.xkw.com/dksih/QBM/2015/7/24/1572193294712832/1572193300725760/STEM/6dab9cdeeef84b97b43e88675772797f.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2015/7/24/1572193294712832/1572193300725760/STEM/b73d03f5b94e46c89abd83b2f7b6a895.png)
![](https://img.xkw.com/dksih/QBM/2015/7/24/1572193294712832/1572193300725760/STEM/fcb9f4dc5ade40a1ae5238cbd8a5154b.png)
![](https://img.xkw.com/dksih/QBM/2015/7/24/1572193294712832/1572193300725760/STEM/17c737df10d54440826b4c8ac94b03ea.png)
![](https://img.xkw.com/dksih/QBM/2015/7/24/1572193294712832/1572193300725760/STEM/0bbcc597374c4d86bd697d03102537ce.png)
![](https://img.xkw.com/dksih/QBM/2015/7/24/1572193294712832/1572193300725760/STEM/b148a362e84b4cdf930549902f57ee0b.png)
![](https://img.xkw.com/dksih/QBM/2015/7/24/1572193294712832/1572193300725760/STEM/0762a6a297374223a1861371f28219c1.png)
您最近一年使用:0次
2 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069592759035e2f43d3a62cdf289ecef.png)
(1)求函数
的最小正周期和单调递减区间;
(2)若
,是否存在实数
,使函数
的值域恰为
?若存在,请求出
的值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069592759035e2f43d3a62cdf289ecef.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9b19eca82b3d86f6e9b86507170707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7940e979710be8b272a2887bfd8349df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
3 . 若
的重心为
,
,动点
满足
(
),则点
的轨迹所覆盖的平面区域的面积等于_____ .
![](https://img.xkw.com/dksih/QBM/2015/6/26/1572149928591360/1572149934120960/STEM/15c8cfbf604541f89e6d34f0901755d7.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2015/6/26/1572149928591360/1572149934120960/STEM/3eb1040b47d34fd3971f5a31ed759f50.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/6/26/1572149928591360/1572149934120960/STEM/d9074f4ff7474c1c96d5d5b25cf74889.png?resizew=156)
![](https://img.xkw.com/dksih/QBM/2015/6/26/1572149928591360/1572149934120960/STEM/387d594514214d29849ed245b3176b16.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/26/1572149928591360/1572149934120960/STEM/aacc7cf7b5e94ccb807c2b8664887e7e.png?resizew=161)
![](https://img.xkw.com/dksih/QBM/2015/6/26/1572149928591360/1572149934120960/STEM/78706c09a15e4c9488a0bed32541fb0d.png?resizew=85)
![](https://img.xkw.com/dksih/QBM/2015/6/26/1572149928591360/1572149934120960/STEM/387d594514214d29849ed245b3176b16.png?resizew=16)
您最近一年使用:0次
4 . 已知8个非零实数a1,a2,a3,a4,a5,a6,a7,a8,向量
,
,
,
,给出下列命题:
①若a1,a2,…,a8为等差数列,则存在
,使
+
+
+
与向量
共线;
②若a1,a2,…,a8为公差不为0的等差数列,向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c47e4009bc0519a5f410bcf346b225a.png)
,
,
,则集合M的元素有12个;
③若a1,a2,…,a8为等比数列,则对任意
,都有
∥
;
④若a1,a2,…,a8为等比数列,则存在
,使
·
<0;
⑤若m=
·![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1211a8569149cb7439436d6600e42d06.png)
,则m的值中至少有一个不小于0.
其中所有真命题的序号是________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fbca1b06246b6b45587fe1dadfe9cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b5c5c2bc9019843fcec02a56dd449d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173d79326fcd634bdb761e073d00dc3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8898a138da96add88de8e42930510e3.png)
①若a1,a2,…,a8为等差数列,则存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d7cab8b0eb1e13d6972815822562f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0241b75bbf58e96ad5e016972b011027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196de9f558dc50d6cbf537e390d74427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab5cabb08427276c7b66c5e1f15a043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fda22bc688d523c3f333f8f08e0806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c47e4009bc0519a5f410bcf346b225a.png)
②若a1,a2,…,a8为公差不为0的等差数列,向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c47e4009bc0519a5f410bcf346b225a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e17d85712113ccc3be3b6cf9322e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e1795935bb1b2d95ebda02ce245531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e2cd38ee3d1bb54155d6b526f9a10e.png)
③若a1,a2,…,a8为等比数列,则对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a60f82e6dd06b8d9228cbfcce5ab0d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124c9843b7570e01a8e6d4951b508103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1211a8569149cb7439436d6600e42d06.png)
④若a1,a2,…,a8为等比数列,则存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a60f82e6dd06b8d9228cbfcce5ab0d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124c9843b7570e01a8e6d4951b508103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1211a8569149cb7439436d6600e42d06.png)
⑤若m=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124c9843b7570e01a8e6d4951b508103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1211a8569149cb7439436d6600e42d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355edb1bf5a0ccce114aa9e3afdf2c53.png)
其中所有真命题的序号是
您最近一年使用:0次
2016-12-03更新
|
1634次组卷
|
2卷引用:2015届四川省资阳市高三第三次模拟考试理科数学试卷
5 . 已知向量
,
.
(Ⅰ)求证
;
(Ⅱ)若存在不等于0的实数k和t, 使
,
满足
试求此时
的最小值.
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167847936/STEM/0e9fc92dffb1452b87b0b9d53fc6dc8c.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167847936/STEM/c76ec8da26c74c07a96365acb69eb745.png)
(Ⅰ)求证
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167847936/STEM/f4c495bc8961436da3e7d498c56c50d1.png)
(Ⅱ)若存在不等于0的实数k和t, 使
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167847936/STEM/a242afa71af4439fbcc30d8997512f2b.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167847936/STEM/e2211ac451bd4ce0a55bb43fe8743453.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167847936/STEM/6ca182d147c94eacb0cfea6c6a95ed72.png)
![](https://img.xkw.com/dksih/QBM/2015/3/11/1571996161892352/1571996167847936/STEM/85869c9b1d9b452f957a679752891da2.png)
您最近一年使用:0次
2013·上海虹口·一模
6 . 如果函数
的定义域为
,对于定义域内的任意
,存在实数
使得
成立,则称此函数具有“
性质”.
(1)判断函数
是否具有“
性质”,若具有“
性质”求出所有
的值;若不具有“
性质”,请说明理由.
(2)已知
具有“
性质”,且当
时
,求
在
上的最大值.
(3)设函数
具有“
性质”,且当
时,
.若
与
交点个数为2013个,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80a01118f21516915cb177acc3d1220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c410536b4b795809f155e107bed17f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e691589e9aafddefcbb613c7030f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f572a9d4d946843a178e90fa5e5800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7ac9eeaa749dc0f7077161f1c8e66b.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c86c2570913b742194ae5cbb698d37d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b06ba630c1ea702753cb6bbc8099aafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09dcff07bb0d9e583a534c663ba2477f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cca39b30b0b8e769293e13546b91f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
13-14高三·全国·课后作业
名校
7 . 如图,摄影爱好者在某公园A处,发现正前方B处有一立柱,测得立柱顶端O的仰角和立柱底部B的俯角均为
,已知摄影爱好者的身高约为
米(将眼睛S距地面的距离SA按
米处理).
(1)求摄影爱好者到立柱的水平距离AB和立柱的高度OB;
(2)立柱的顶端有一长为2米的彩杆MN,且MN绕其中点O在摄影爱好者与立柱所在的平面内旋转.在彩杆转动的任意时刻,摄影爱好者观察彩杆MN的视角
(设为
)是否存在最大值?若存在,请求出
取最大值时
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/7/d8c209f6-e197-4e69-9341-a417acf7a72f.png?resizew=152)
(1)求摄影爱好者到立柱的水平距离AB和立柱的高度OB;
(2)立柱的顶端有一长为2米的彩杆MN,且MN绕其中点O在摄影爱好者与立柱所在的平面内旋转.在彩杆转动的任意时刻,摄影爱好者观察彩杆MN的视角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92586926ac0945640f45396c004a061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92586926ac0945640f45396c004a061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
您最近一年使用:0次
2016-12-02更新
|
3278次组卷
|
8卷引用:2014年高考数学全程总复习课时提升作业二十四第三章第八节练习卷
(已下线)2014年高考数学全程总复习课时提升作业二十四第三章第八节练习卷【市级联考】湖北省天门市、潜江市、应城市2018-2019学年高一下学期期中联考数学试题湖北省武汉市第十一中学2019-2020学年高一下学期期中数学试题(已下线)6.5 平面向量的应用—正弦定理、余弦定理-2020-2021高中数学新教材配套提升训练(人教A版必修第二册)北京市陈经纶中学2020-2021学年高一下学期期中考试数学试题广西南宁市马山县马山中学2021-2022学年高一下学期3月数学检测试题(已下线)第六章《平面向量及其应用》同步单元必刷卷(培优卷)-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)重难点01平面向量的实际应用与新定义(1)
11-12高三上·浙江金华·阶段练习
8 . 已知
是椭圆
与圆
的一个交点,且圆心
是椭圆的一个焦点,
(1)求椭圆
的方程;
(2)过
的直线交圆与
、
两点,连接
、
分别交椭圆与
、
点,试问直线
是否过定点?若过定点,则求出定点坐标;若不过定点,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c96b59b8f6b4961fd8792c64eec4e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11cd0b4c2736d76fb7d7c0999b4332b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/2011/12/26/1570633293889536/1570633299337216/STEM/75b3427a1a414a818f0d51a38cf7afac.png?resizew=276)
您最近一年使用:0次
11-12高三上·上海松江·期中
名校
9 . 设函数
,其中
、
为已知实常数,
.
下列所有正确命题的序号是____________ .
①若
,则
对任意实数
恒成立;
②若
,则函数
为奇函数;
③若
,则函数
为偶函数;
④当
时,若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460c07a6303b94c2efdbe63c1cb2c996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be81760015cf34b0e5cb869580c91306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
下列所有正确命题的序号是
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0037388c0b202acddc092f2c143e3548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502c4ff1cd420b9da4de849e63c307e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db92ae4746a34821d8c5b1cce16486b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5dabbaf770207f1d9b83ca67ac9147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
④当
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