1 . 已知函数
,
,
.
(Ⅰ)若
,求满足
的实数x的取值范围;
(Ⅱ)设
,若存在
,使得
成立,试求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6e4395cb4a2f53e0386725a607cfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ca6c7a07c73c6c9dd9b7abbc460f6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2df755de5680f9cb64a395a8f3d8af.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c204be088a8fc6c096eedd5b1e7dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/601ef3e06c86de022ef7ccc6cbe1ad26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7cbc73af4af064d156d0c05b9fdb43.png)
您最近一年使用:0次
2020-04-20更新
|
736次组卷
|
3卷引用:浙江省湖州市长兴县、德清县、安吉县2018-2019学年高二下学期期中联考数学试题
名校
解题方法
2 . 已知函数
,记
,
.
(1)若
,
,求集合
、
;
(2)若集合
,
,且
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369c33768fd972b3ebada251ca00a37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30bf91f31613ce80bba22a49862db03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d1d63c6029951283ebd48a4e67e67b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e373e8dbc56e341e997a918d16ea077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d5a1191a3db3ed0d9cfceefc6c5505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2d238c3d566f4412c4e5cef33a3366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,集合
.
(1)若集合
中有且仅有
个整数,求实数
的取值范围;
(2)集合
,若存在实数
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a278f183076c660212611979b7d95058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b186b10ffbdb7ffc0efb1d002b1310ce.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09e0f873c8dcd4d00b5fd783ee259ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
真题
解题方法
4 . 已知
,
,
试比较
与
的大小,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a357693afa2cb64082bde4ed5227f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0d3e5a7cab453ae9821ac5a26ad1cd.png)
您最近一年使用:0次
2020-04-17更新
|
647次组卷
|
2卷引用:河南省八市重点高中联盟2018-2019学年高二下学期领军考试文科数学
名校
解题方法
5 . 已知对任意平面向量
,把
绕其起点沿逆时针方向旋转
角得到向量
,叫做把点
绕点
逆时针方向旋转
角得到点
.
(1)已知平面内点
,点
.把点
绕点
沿顺时针方向旋转
后得到点
,求点
的坐标;
(2)设平面内曲线
上的每一点绕坐标原点沿逆时针方向旋转
后得到的点的轨迹是曲线
,求原来曲线
的方程,并求曲线
上的点到原点距离的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95358d95291a2f2b6f5ab88280b6a07f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c47514dc018f6ebc777d6fbeaa16ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)已知平面内点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8983881f17a646a2a70762e4c4b729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)设平面内曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5848e50805496263d52dcbde9671a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
6 . 设函数
(
)的最小值为
.
(1)求
的值;
(2)若
,
,
为正实数,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57530a487367697c920f4bb2df591599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/861ec3a6c3c6fd17393f625d32940dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80656b731580035f2d5f137a0a97cbb7.png)
您最近一年使用:0次
2020-03-28更新
|
883次组卷
|
9卷引用:2020届五岳湖南、河南、江西高三3月线上联考理科数学试题
名校
7 . 如图,河的两岸分别有生活小区
和
,其中
,
三点共线,
与
的延长线交于点
,测得
,
,
,
,
,若以
所在直线分别为
轴建立平面直角坐标系
则河岸
可看成是曲线
(其中
是常数)的一部分,河岸
可看成是直线
(其中
为常数)的一部分.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/92f83a74-2e60-4940-8684-5a047ca5fe88.png?resizew=201)
(1)求
的值.
(2)现准备建一座桥
,其中
分别在
上,且
,
的横坐标为
.写出桥
的长
关于
的函数关系式
,并标明定义域;当
为何值时,
取到最小值?最小值是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b697cfa31f6809017ad35b95b45ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf6e8312671b97cd11a49682f394f463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ceb34ba50edb6400ea587d4b90ec5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d43196011f26ecba93218f51226c23e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31b136f3841ab4b4aa30fa89d6b1ba52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d05eb22f985b471366ef41afe34530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b82c8e05dde6af83ecb42aee5fd46e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70dceafe558f74a53631f42ca3c3d489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bd32133d04a42aff675da13e8645c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3e9eb0c4bd9c899886668229c4c947.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/92f83a74-2e60-4940-8684-5a047ca5fe88.png?resizew=201)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e70f7d639ea16f49eb4d5df6d288a9.png)
(2)现准备建一座桥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d26633cc499d15d86afb2f54a492cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66fae8e33cd86fa8dab72704eaafe1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7807b0ac88dc2f8e3491e76aa2e45857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2020-03-25更新
|
610次组卷
|
11卷引用:2020届江苏省盐城中学高三(尖子生班)下学期3月调研考试数学试题
2020届江苏省盐城中学高三(尖子生班)下学期3月调研考试数学试题(已下线)福建省厦门市2019-2020学年高一上学期质量检测期末考试数学试题2020届江苏省新海高中、昆山中学、梁丰高中高三下学期5月高考模拟数学试题江苏省南通市2020届高三(3月份)尖子生班高考数学模拟试题(一)湖南省岳阳市2019-2020学年高二下学期期末数学试题(已下线)【南昌新东方】江西省南昌市外国语学校2020-2021年高二上学期10月月考数学试题江西省南昌外国语学校2019-2020学年高二10月月考数学试题(已下线)预测08 不等式、推理与证明-【临门一脚】2020年高考数学三轮冲刺过关(江苏专用)江苏省无锡一中2019-2020学年高三上学期12月考数学试题河南省信阳市2020-2021学年高二上学期期末数学(理科)试题(已下线)第02讲 函数与数学模型(教师版)-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第一册)
2012·陕西·三模
名校
8 . 若
,且
,
(
且
),
(1)求
的最小值及相应
的值;
(2)若
且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0ae6796e21d422342799b6155343f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c47d9504f274be4c53cbb56b093ad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dac3fa4d10b586514f751ffb532f858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b22587c4fcd78f4b64296e9a1116fccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d6d161e8eb824b07162c57528dac46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6544c32c90da1c9e5fcaab67cb740e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2020-03-19更新
|
444次组卷
|
8卷引用:2012届陕西省交大附中高三第三次诊断理科数学试卷
(已下线)2012届陕西省交大附中高三第三次诊断理科数学试卷2017届江西南昌新课标高三一轮复习训练三数学试卷山西省河津市第二中学2019-2020学年高一上学期12月月考数学试题(已下线)专题12 基本初等函数综合练习-2021年高考一轮数学(文)单元复习一遍过(已下线)专题12 基本初等函数综合练习-2021年高考一轮数学(理)单元复习一遍过(已下线)专题12 基本初等函数综合练习-2021年高考一轮数学单元复习一遍过(新高考地区专用)2016-2017学年辽宁省庄河市高级中学高一下学期开学考试数学(理)试卷江西省景德镇一中2020-2021学年高一(2班)上学期期末考试数学试题
名校
解题方法
9 . 已知函数f(x)
,g(x)
1.
(1)若f(a)=2,求实数a的值;
(2)判断f(x)的单调性,并证明;
(3)设函数h(x)=g(x)
(x>0),若h(2t)+mh(t)+4>0对任意的正实数t恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63905c821ad3119a793ea3bc755ea53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144f6637aabd3be93fe6647b99d01e2f.png)
(1)若f(a)=2,求实数a的值;
(2)判断f(x)的单调性,并证明;
(3)设函数h(x)=g(x)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0482af1f0d226806475d78b02af9921.png)
您最近一年使用:0次
2020-03-18更新
|
1013次组卷
|
3卷引用:2020届河南省中原名校高三上学期第三次质量考评数学(文)试题
名校
10 . 设
是奇函数,
是偶函数
,且其中
.
(1)求
和
的表达式,并求函数
的值域
(2)若关于
的方程
在区间
内恰有两个不等实根,求常数
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0270373648b7c76517afdc256c30c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10e1f61994a7dcb2ee12935a4526c3e.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2020-03-15更新
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3卷引用:2020届四川省成都七中高一上学期12月阶段性测试数学