1 . 佛山电视塔位于文华公园内,是佛山地标性建筑.某位高中生想运用所学知识测量验证一下高度,通过查阅资料获取了两种测量方案.
方案一(两次测角法):如图一,在电视塔附近广场上的
点测得电视塔顶部的仰角为
,正对电视塔前进
米后,到达
点,在
点测得电视塔顶部的仰角为
,然后计算出电视塔
的高度.
上,人后退至从镜子中恰能看到电视塔的顶部位置,测量出人与镜子的距离为
米;②正对电视塔,将镜子后移
米,重复①中的操作,测量出人与镜子的距离为
米,然后计算出电视塔
的高度.
实际操作中,方案一测量数据为
米,
,测得电视塔高度为
;方案二测量数据为
米,
米,
米,测得电视塔高度为
;假设测量者的“眼高
”都用1.6米.
(1)用
表示
;
(2)计算
的实际测量值(参考数据:
,结果保留整数).
方案一(两次测角法):如图一,在电视塔附近广场上的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ab1256702aef4e9f1a5eb6c12ecc96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbd67f60f04c278bdd867fdb3979dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
实际操作中,方案一测量数据为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c522cf3ce31023117b820d740ea808.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b0abd270561207b14cc5115fac5611.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86163e76653de1f383788b741fb64a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb3f1e71282d682759b6ecdb30d4e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3539abea2f5c8f31a2a4ea1aa9590f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf6c6385714af1f014af72c805cc9679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1fae01485740cbb48b5c79f1185b54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401d3aa40316c9c1608ba185655f7889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86163e76653de1f383788b741fb64a8b.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45eb4c210d02b62d0d45cbf83a052dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/605382b51597578bda41e7f114ac113b.png)
您最近一年使用:0次
2 . “杨辉三角”是二项式系数在三角形中的一种几何排列.从第1行开始,第
行从左到右的数字之和记为
,如
,
,
,
的前
项和记为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7df0430db8db9fc354ffdd038fb432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c996a43ff8843aec0be0a9d0ac0e9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.在“杨辉三角”第10行中,从左到右第8个数字是120 |
B.![]() |
C.在“杨辉三角”中,从第2行开始到第![]() ![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次
解题方法
3 . 如图,在三棱柱
中,已知点
分别在
上,且
经过
的重心,点
分别是
的中点,且
四点共面,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0f067a2a348ceb24a408f82992eab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fb1884afa6b9d2625b489d6a0b4667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ea060a38d34288db2b99ab280acd6e.png)
A.![]() |
B.![]() ![]() |
C.![]() |
D.棱柱被平面![]() ![]() ![]() ![]() |
您最近一年使用:0次
4 . 某同学用“五点法”画函数
在某一个周期内的图象时,列表并填入了部分数据,如下表:
(1)请将上表数据补充完整,并求函数
的解析式;
(2)将函数
的图象向左平移
个单位后,得到函数
的图象.若方程
在区间
上有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6157ef443108dda491868c1a96e3c8e9.png)
![]() | 0 | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | |||
![]() | 0 | 3 | ![]() | 0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d873ccbd26127bb543951eff8af9337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a908cff3963ed5281930402c853b0b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
5 . 如图,在
中,已知
,
,
为线段
上一动点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c90a653e69210102dc331cb07c563c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0c3c8cc8741df2b5d92c70c67b5dbca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b702905d2235c895c878432929c43e76.png)
您最近一年使用:0次
解题方法
6 . 记
的内角
的对边分别为
,已知
的面积
.
(1)求
;
(2)若
,求
;
(3)若
,且
存在最大值,求正数
的取值范围.
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e756d5553e27d8535f4204ce539dc39.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb681f294c01e9e2a14503035581bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f002f960ec07ea229ed243e2d991d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7ff617b214b15e6838b81ac21db8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
解题方法
7 . 已知向量
.
(1)若
,且
,求向量
的坐标;
(2)若
,且
三点共线,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd563b0fa52b0581f1327ee012c854b2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547485e91d0fef83e879f6306c3decb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a3765851ae15bd5568ec4462c3f9aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc10093092181ecdbb834fdeeffbf72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
8 . 如图,
是四棱锥
的高,
,
,
为线段
上一点,
为
的中点.
平面
;
(2)求四面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9132a5490b529ffd1ca0e665448ff62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dffe45a9f6cfaaa8da032039e87b685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410fbe57f1d51812bea89b901beaa0bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29cdf6606acdcca96822efc24f5cd14.png)
您最近一年使用:0次
9 . 定义:
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c8894e0b37af5da23a1c1bffb32017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f9d41306133d059e2daa28edd6d824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ec7c99202b44d5d65239f65f155b6f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 关于函数
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dcaeabf5db13f5e242d88e5d3637361.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.点![]() ![]() |
您最近一年使用:0次