已知w=z+i(z屬于C),且(z-2)/(z+2)為純虛數(shù),求M=|w+1|∧2+|w-1|∧2的最大值及M取最大值時(shí)w的值.
已知w=z+i(z屬于C),且(z-2)/(z+2)為純虛數(shù),求M=|w+1|∧2+|w-1|∧2的最大值及M取最大值時(shí)w的值.
數(shù)學(xué)人氣：942 ℃時(shí)間：2019-09-23 08:41:42
優(yōu)質(zhì)解答
設(shè)2在復(fù)平面上對(duì)應(yīng)的點(diǎn)是A,-2對(duì)應(yīng)B,z對(duì)應(yīng)Z點(diǎn)那么z-2/z+2是純虛數(shù)的充要條件是角AZB是直角(z-2與z+2的輻角之差)那么z就在以AB為直徑的圓上,也就是|z|=2,那么|w-i|=2M=|w+1|^2+|w-1|^2=(w+1)(w的共軛+1)+(w-1)(w的共軛...
我來回答
類似推薦
- 已知w=z+i(z∈C),(z-2)/(z+2)是純虛數(shù)...
- 已知W=Z+i(z 屬于c) 且 z-2/z+2為純虛數(shù)求M=/w+1/^2+/w-1/^2的最大值及當(dāng)M去最大值是的W
- 已知m屬于R,復(fù)數(shù)Z=m(m+2)/(m-1)+(m^2+2m-1)i,當(dāng)m為何值時(shí),（1）Z屬于R（2）Z是虛數(shù)（3）Z是純虛數(shù)
- 已知m∈R,復(fù)數(shù)z=m(m+2)÷(m-1)+(m^2+2m-3)i純虛數(shù)則m
- 已知z w 為復(fù)數(shù),（1＋3i ）＊z 為純虛數(shù),w ＝z /（2＋i ）,且w 的絕對(duì)值＝5倍的跟號(hào)2,求w
- 函數(shù)f(x)=sinx-cosx^2的最小值是?
- 英語翻譯
- I took my grandpa to the hospital this morning,_____ I missed the first class.
- So crazy
- 方差是各個(gè)數(shù)據(jù)與平均數(shù)之差的平方的平均數(shù)
- 函數(shù)y=f(x)與它反函數(shù)y=f^-1(x)怎么讀?
- These are photos of my families.Look at them 改錯(cuò)
猜你喜歡
- 1平面與平面重合,是否屬于平行一類?那重合的兩直線,也屬于平行一類的嗎?
- 2非洲每年因饑餓死亡的人數(shù)及現(xiàn)在饑餓人口數(shù)量拜托各位了 3Q
- 3decide to do sth.還=什么
- 4(7/8)o you think of london?B:5.____london is one of the liveliest cities
- 5啤酒可以托運(yùn)嗎
- 6邊長為2√6的等邊三角形的中心到一邊的距離為?
- 7please give your hand to help me
- 8已知2的X次方等于3的Y次方等于6的Z次方不等等于1,證明X分之一加Y分之一等于Z分之一.
- 9幫我做做?
- 10機(jī)械分析天平TG628A的使用說明書
- 11in winter ,we wear warm coats to protect our bodies_.
- 12( )was most importance to her ,she told me,was her family it this what as