名校
1 . 已知向量
,
,且
.则
在
方向上的投影向量的坐标是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c8c49b6aa91026b40e7402918534a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf342e77c56e55a35bb1151bc215a3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ec52d20d00409c62d85c04b38988ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83c5803cc8c05849028a57c4bd4ee72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
2 . 已知在
中,角
,
,
的对边分别为
,
,
,且满足
.
(1)求
;
(2)若
,且
的角平分线交
于
,
为边
的中点,
与
交于点
. 求
;
(3)若
,求
内切圆半径
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](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/b912b2bc8127caa559427afbed6c4e9b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a0e87bca5763555442ee85cc663bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.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/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcfaca9396f85c0137b534903321fcbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15bdee7807edba89958c84bf4bb85f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d45e49d54ae48db3f3b99fe6dca1f26.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdd4d7ca8bb598329b3739a98007854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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解题方法
3 . 已知不等式
的解集为
,函数
的定义域为
.
(1)求
;
(2)若
,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d688d789811c277564efef83840fd12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd2842684cbf7a9d2160c22819c4317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 已知
,
,
,且满足
,则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec336faee8689281a6f6b465e7fcff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01de20123a39eb6093fe9d9607ca9c30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c6edc0212bd0eeef1a83dd4772d087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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5 . 将函数
的图象上各点的横坐标缩短到原来的
(纵坐标不变),再向右平移
个单位得到曲线
. 若曲线
的图象关于直线
对称,则
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4dcf04ba4b46dccf61bc903b3bfa8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c63e1c64c42b7f3b7fdc396d4756cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
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6 . 用列举法表示集合
的结果为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc80ff90056e59a22dd6ac89a0cf2b.png)
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7 . 若
,
为函数
的两个不同零点,令
,则下列命题正确的是( )
![](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/02efe887650c8c1f743aacef8ab904dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8ac99fd0ffb57a964af081a66ace64.png)
A.![]() ![]() | B.![]() ![]() |
C.函数![]() | D.函数![]() |
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8 . 若
的最小值是1,则实数
的值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f41df22ebbbabe9541c3e87f5fca4f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027ae44ac7aab22863610036c016bb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b495cee32b2debec62a621185f91e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a3fccbc87e08e94a90695a848c0902.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 我们把正切函数在整个定义域内的图象看作一组“平行曲线”,而“平行曲线”具有性质:任意两条平行直线与两条相邻的“平行曲线”相交,被截得的线段长度相等. 已知函数
图象中的两条相邻“平行曲线”与直线
相交于
、
两点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3cec857f9c4f3501791cc6b949dfea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a41c41c42299c9e530adb64b5caab2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368fc197b61e01fe6a4a168bb7b375cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea29b3a8d4ff371ce490c6e75b590b04.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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