名校
1 . 已知向量
,
.
(1)若
,求实数t的值;
(2)若
,求实数t的值;
(3)若
与
的夹角为钝角,求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623072df133bfa00d73180fe70b22980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa79b519b37fd531a56a8fa9c3119509.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd79264e130de60a100b001b5d45585c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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解题方法
2 . 在锐角
中,三个内角A,B,C所对的边分别为a,b,c,且
,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf1646f0f48ce22e33a36c79abec956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
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3 . 在梯形
中,
,
,
,
,
,现将梯形
以直线
为轴旋转一周,则得到的几何体的体积为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d223fe4bd5c2c0ceafb6cc9a8b9c8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
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4 . 如图,在直三棱柱
中,
,
,
,且
,P为
的中点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8cb98c0adee7ca698d8b17dacb845b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
A.三棱锥![]() | B.三棱锥![]() ![]() |
C.四棱锥![]() | D.三棱锥![]() ![]() |
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解题方法
5 . 已知函数
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c37a52e07e3f481a79aae50fb9f604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59561428ebfffe11c38ac41600c19e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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6 . 已知一个球在一个体积为
的正三棱柱的内部,且与三棱柱的各面均相切,求正三棱柱的表面积与球的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
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7 . 已知函数
(
)的最小正周期为
.
(1)求
的单调递增区间;
(2)若
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae1df35fc3055aa7f018409253a44f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a3869b0b2649fbd8d027c151e77506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914b3e6d79c0734cbe013895a52832df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5984417aa1197b8ef6823d107e1ac303.png)
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解题方法
8 . 若函数
(
)的图象向右平移
个单位长度后与原图象重合,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77158378d8841548b5adf2d220c08afb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8d7771b82429dcd6b48b768918c7c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.5 | B.3 | C.2 | D.1 |
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9 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ca717c6a55e786238e64f7ebd69b9b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062bb2cc14c286e703ee5b8ed5362a8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 某施工队要给一个正四棱锥形的屋顶铺设油毡进行防水,已知该四棱锥的高为
,底面边长是
,接缝处忽略不计,则需要油毡的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b7606a47cc0fb44933560bd9190bca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00be2f5a88cf57caaaa92369367d210e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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