题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-14669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-14669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-14669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094907-96790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094907-56121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094907-15752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094907-75558.png)
(1)计算:
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-18570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-12495.png)
(2)请用数学符号语言表述运算
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
(3)若“
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-14669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-21863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-96397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-66014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094909-41199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094909-92864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094909-33489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094909-43524.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-12636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-14957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-96984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-94914.png)
解析
(1)由已知α⊙β=(ad+bc,bd-ac),将:(2,3)⊙(-1,4)中参与运算的两个元素代入易得答案.
(2)根据已经学过的数、向量等的交换率,类比给出⊙运算的交换率,结合⊙的定义,不难证明.
(3)根据充要条件的定义,结合⊙的定义,不难得到一个关于I=(x,y)的方程组,解方程组,即可得到答案.
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-12636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-14957.png)
(2)交换律:
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-96984.png)
证明如下:设
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094907-96790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094907-56121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094907-15752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094907-75558.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-60838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094912-86288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094912-13099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094912-29709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094907-75558.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-96984.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094912-37962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-21863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-96397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-66014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094913-97370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094913-59377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094909-33489.png)
由(2)知只需
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094909-43524.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094913-22724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094913-94089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094914-57637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094914-78340.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094914-87077.png)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094914-62306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094913-59377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094913-22724.png)
②若
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094914-59242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094915-83868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094915-18427.png)
∴当对
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-96397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-66014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094913-97370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094913-59377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094909-33489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-94914.png)
易验证当
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-94914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-96397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094908-66014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094913-97370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094913-59377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094906-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094909-33489.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094910-94914.png)
核心考点
试题【(13分)在中学阶段,对许多特定集合(如实数集、复数集以及平面向量集等)的学习常常是以定义运算(如四则运算)和研究运算律为主要内容.现设集合由全体二元有序实数组】;主要考察你对集合运算等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094900-40040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094900-43989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094901-69876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094901-89973.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094858-47066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094858-10179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094858-42089.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094856-53909.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094856-87258.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094851-21325.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094852-71458.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094852-69520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094852-40556.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094852-88657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094852-29928.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094849-13183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190817/20190817094850-85027.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
最新试题
- 1有一学生取两份A溶液做实验,实验步骤和实验现象如下所示(C不考虑是微溶物)(1)写出化学式:A___________,B
- 2方程x2+(a2+1)x+a-2=0有两个实数根,一个根比1小,另一个根比1大,则实数a的取值范围______.
- 3呼吸是生命的标志,下列关于植物呼吸的说法正确的是[ ]A.呼吸只在白天进行B.呼吸为生命活动提供了能量C.呼吸时
- 4利用粗细不同的橡皮筋、直尺、音叉、吉他、梳子、塑料片、鼓、沙粒、细线、纸筒、橡皮槌等器材,可以进行很多物理实验。请选用其
- 5下列句子中,加粗的成语使用正确的一项是[ ]A.18名路人看到遭受了碾轧的小悦悦后,居然义无反顾地离去,这一事件引
- 6不包括地球的天体系统[ ]A. 太阳系B. 银河系C. 总星系D. 河外星系
- 7某种物体的三视图是如下的三个图,那么该物体的形状是[ ]A.圆柱体B.圆锥体C.立方体D.长方体
- 8下列各组f(x)与g(x)是同一函数的为( )A.f(x)=x,g(x)=(x)2B.f(x)=lg|x|,g(x)=
- 9在“测定金属的电阻率”的实验中,需要用刻度尺测出被测金属丝的长度l.用螺旋测微器测出金属丝的直径d,用电流表和电压表测出
- 10如图所示,小刚用焦距为10cm的凸透镜作实验.他点燃蜡烛后,沿光具座移动光屏,在光屏上始终得不到烛焰完整的像.经过分析,
热门考点
- 1(20分)在人类社会发展过程中,以古代中国和古代希腊为代表的东西方文明曾经彼此交融、相映生辉。阅读下列材料:材料一 唐朝
- 2如图是一个简单的数值运算程序,当输入的x的值为﹣1时,则输出的值为[ ]A.1B.﹣5C.﹣1D.5
- 3下面四对并联的电阻,总电阻最小的是[ ]A.两个4Ω的 B.一个4Ω,一个6ΩC.一个1Ω
- 4完形填空。Student"s life in America From Monday to Friday stu
- 5如图所示,质量20kg的物体从光滑斜面上高度m处释放,到达底端时水平进入水平传送带(不计斜面底端速度大小的损失,即在斜面
- 6They must have been here the day before yesterday,____? A.mu
- 7下列各组物质从左至右按同类有机物、同位素、同系物、同分异构体、同素异形体、同种物质的顺序排列的是( )①C60、C
- 8若m是非负数,则用不等式表示正确的是[ ]A.m<0B.m>0C.m≤0D.m≥0
- 9用分子的知识对下列现象的解释,正确的是( )A.做饭时炊烟袅袅,是由于分子间存在斥力B.一块金属很难被压缩,是由于分子
- 10已知X、Y、Z、W四种短周期元素在周期表中的相对位置如图所示,下列说法正确的是A.Z元素的原子半径可能比Y元素的小B.W