1 . 已知向量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de91be7486503971c99be2c22ab83ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a065a2c4c073813a607247a720f14a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de91be7486503971c99be2c22ab83ea.png)
A.![]() | B.3 | C.![]() | D.2 |
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2 . 若角
的终边互为反向延长线,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f1c8146d084248c9c65dd8a11801905.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 在
中,角
所对应的边分别为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e19517549c82fdc62cb042d9150e41f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8beb8b455cdab062ce98cea26fa59e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c85165ccb0f882754f88a5e4f309b3.png)
,且
.
(Ⅰ)当
,且
的面积
时,求边
的值;
(Ⅱ)当
时,求角
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e19517549c82fdc62cb042d9150e41f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8beb8b455cdab062ce98cea26fa59e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c85165ccb0f882754f88a5e4f309b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae676c936b91af769360c2624f70e532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7624b3666a9369b1df855306620e2cc.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05554fc3fab6e31eb62fd6ee60625918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580a2332f5941538b17a44479f95678e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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名校
4 . 若关于
的不等式
的解集恰好是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb464eb4439f87d7fffaa27df3aa90e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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2016-12-03更新
|
800次组卷
|
6卷引用:2014-2015学年浙江省嵊州市高一竞赛数学试卷
5 . 函数
的最小正周期为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e6117964383ca6a47e1ba13a781186.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
,若
//(
),则实数
的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294dedfabd0ba3dc87b0ecb46e57b9c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd5fbe1acabe2f573b4b69fb1303f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
![](https://img.xkw.com/dksih/QBM/2015/11/27/1572320777478144/1572320783122432/STEM/c29a4547a5934329a581ce580aad0f16.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 定义
,
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e726122333e97913af3151a95371e4f.png)
,则
的零点个数可能为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66a88cbaed58dcf9671ba9240359b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b0f2b9db94781ff402ee83f4bb7f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e726122333e97913af3151a95371e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396f2055f52c0c2ce16a6d456df2ae51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06144ea64f94e640bfe38de739cc0798.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 给定正实数
,对任意的正整数
,
,其中
表示不超过实数
的最大整数.
1.若
,求
的取值范围;
2.求证:(i)
;
(ii)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba72a9bd4cffb5dbea68f3cc05c95c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
1.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062c6026df79d335604d21223ba13c50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
2.求证:(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69a414069ff1d5fc16594f7231aba4e.png)
(ii)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22789db88931d4f2a22b67b9794cfd7f.png)
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9 . 函数
在区间
上是增函数,则实数
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50cf06f749e5e273de8c3decd314a64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b2798c6a26d02c5d2c8b1355c8c30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知函数
为偶函数,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d1026d5123364f3c214ff23947e21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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