解题方法
1 . 已知向量
满足
.
(1)证明
.
(2)求向量
与
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf03d6199158d02c21a888694f1f281.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e06d7ced08b9fc3bd6da843ef8789495.png)
(2)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa907edb8cb0795fe8c42eba3ad5b8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1175c84073cdd042a1074d478fb3f2c.png)
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解题方法
2 . 已知函数
.
(1)将
化成
的形式;
(2)若对于任意的
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a65875c5582fb949c3e90f71fbbe6eb.png)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2c108e2dd6eaa6a4b49ee5e668ba6c.png)
(2)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1624bedea27946bd568efd6c1013b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知
为等差数列,
是公比为2的等比数列,且
是
和
的等差中项,
是
和
的等差中项.
(1)证明:
.
(2)已知
,记数列
是将数列
和
中的项从小到大依次排列而成的新数列,求
.
![](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/b715e7842b95f654f16056a7c7f2abe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13423c094861baf4b759b7f3d8c3c226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9813a9a34a595f123a205e73d0490d49.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.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/74828c0bbc29e16c346941b7d4287f2f.png)
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4 . 以
表示数集
中最小的数,
表示数集
中最大的数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15a393de3560b0c81a2085700e987a1.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73719a683e92eb670f820bc85e56bf9.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c237a1037344842737c5f318eda60262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e93122e2e5b93c1141001872a250ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15a393de3560b0c81a2085700e987a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73719a683e92eb670f820bc85e56bf9.png)
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解题方法
5 . 定义在
上的函数
的导函数为
,且
,则下列函数一定是增函数的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbdb87420bccecfb3f2dfbafd3c3d64c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 已知函数
.
(1)用单调性的定义判断
在
上的单调性,并求
在
上的值域;
(2)若函数
的最小作为
,且
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56add7a397d2a4bbe9fc06028dd10d8f.png)
(1)用单调性的定义判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c911484e2b161605f72e648c8b8846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa39836f5e5d4a01006652c6128e9e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a593c30267f133d38423d1be77fdea2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07dcfc38a1d3c7597923eff62928fd1.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
8 . 将函数
的图象上所有点的横坐标伸长到原来的2倍,纵坐标不变,得到函数
的图象.
(1)求
的解析式与最小正周期;
(2)若
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325f9e2f7784ebdd64292e805884dfa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73387a4ccf38c8da46b698b2a8a98152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d394016b9fecac73f38cbc4ff18dee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9146fc0a63e5c14a8fa46573e60c07ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b986672a23ad322d79e9e18c5d3bc0c.png)
您最近一年使用:0次
2024-05-11更新
|
182次组卷
|
2卷引用:辽宁省本溪市县级重点高中协作体2023-2024学年高一下学期期中考试数学试卷
名校
解题方法
9 . 已知单位向量
,
满足
,则
在
上的投影向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f73f2a5a5ca69a4338c600efa0988d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-08更新
|
714次组卷
|
4卷引用:辽宁省本溪市县级重点高中协作体2023-2024学年高一下学期期中考试数学试卷
辽宁省本溪市县级重点高中协作体2023-2024学年高一下学期期中考试数学试卷广东省佛山市七校2023-2024学年高一下学期5月联考数学试卷(已下线)专题03 向量的数量积-期末考点大串讲(人教B版2019必修第三册)(已下线)核心考点2 平面向量的数量积 专题讲解 (期末考试必考的10大核心考点)
名校
10 . 已知函数
.
(1)讨论
的单调性;
(2)若
有
个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd46df10da04a7be0fb3873b8aca8be.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-05-08更新
|
543次组卷
|
3卷引用:辽宁省本溪市县级重点高中协作体2023-2024学年高二下学期期中考试数学试卷