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[美國直購] 3M GPFMP13 金色 31.9cm*21.3cm 螢幕防窺片 Gold Privacy Filter for Apple MacBook Pro

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[美國直購] 3M GPFMP13 金色 31.9cm*21.3cm 螢幕防窺片 Gold Privacy Filter for Apple MacBook Pro

描述
:






PS.圖片僅供參考,商品以實物為准!

Keeps your personal or confidential information safe from prying eyes

User sees clearly while people on either side see a vivid golden screen

Custom fit to your Apple MacBook Pro 13-inch

The filter application system features an optically clear adhesive designed specifically for display screens. Testing proves that, when kept clean, the filter can be repositioned hundreds of times.

Offers the highest level of clarity within 3M's line of privacy filters

Reversible, privacy filter can be used with either gold or black side facing the user

Lightweight, thin, frameless design

Protects display from dirt, debris and scratches

Cleans easily with a soft cloth and water

Includes a convenient storage folder that keeps your privacy filter clean while not in use on your device

Great for high traffic areas such as airports, airplanes, commuter trains, coffee shops and other public places

Limited 1-year warranty

Helps keep on-screen information private; screen data is visible only to persons directly in front of the monitor.

Superior privacy and clearer screen than competitive privacy filters

Protects your screen from dust and dirt

Reversible, with gold on one side and black on the other

Application adhesive specially formulated for display screens

3M Gold Privacy Filters keep confidential information private when working in public places. User sees clearly while people on either side see a vivid golden screen.



































































Screen Size

15.1 inches

Brand Name

3M

Item model number

GPFMP13

Item Weight

1.8 ounces

Product Dimensions

13.3 x 8.4 x 12.6 inches

Item Dimensions L x W x H

13.3 x 8.39 x 12.55 inches

ASIN

B005NFG1MS

Shipping Weight

6.4 ounces













[美國直購] 3M GPFMP13 金色 31.9cm*21.3cm 螢幕防窺片 Gold Privacy Filter for Apple MacBook Pro





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標題:

高一數列與級數的問題 請大大幫我

發問:

有兩題: 1: 數列滿足A1=7分之1,A(n+1)=2分之7An(1-An),求A101+A202=?? 答案是7分之9 2:在2與32之間插入2007個相異正數A1,A2,A3...,A2007,使得2,A1,A2,A3....,A2007,32形成一個數列,若此2007個正數A1,A2,A3,.....,A2007的成績為2的M次方,則正整數M=? 答案是6021 更新: 使得2,A1,A2,A3....,A2007,32形成一個等比數列

最佳解答:

"在2與32之間插入2007個相異正數A1,A2,A3...,A2007,使得2,A1,A2,A3....,A2007,32形成一個數列" 是不是漏字了? 若只是 "數列", A1~A2007 都可以任意. 疑是 ",使得…形成一個等比數列". 若如此, 設公比 r, 則 2×r^{2008} = 32, 所以 r^{2008} = 32/2 = 16 = 2^4. 故 r = 2^{4/2008} = 2^{1/502}. Ai = 2×r^i, i=1,...,2007. 2013-07-23 00:06:51 補充: 所以 ΠAi = (2r)(2r^2)...(2r^2007} = (2^2007)(r^{1+2+...+2007}) = 2^2007(r^{(1+2007)×2007/2}) = 2^2007(r^2015028) = (2^2007)×2^{2015028/502} = (2^2007)(2^4014) = 2^6021. 2013-07-23 00:14:34 補充: 1. A1 = 1/7 A2 = (7/2)(1/7)(6/7) = 3/7 A3 = (7/2)(3/7)(4/7) = 6/7 A4 = (7/2)(6/7)(1/7) = 3/7 因此可知除 A1=1/7 外, A2 以後是 3/7, 6/7, 3/7, 6/7 這樣循環. 用一般式表現, 就是 A(2k) = 3/7, A(2k+1) = 6/7, k=1,2,3,... 所以 A(101)+A(202) = (6/7)+(3/7) = 9/7. 2. "在2與32之間插入2007個相異正數A1,A2,A3...,A2007,使得2,A1,A2,A3....,A2007,32形成一個數列"疑是 ",使得…形成一個等比數列", 遺漏 "等比" 二字. 若如此, 設公比 r, 則 2×r^{2008} = 32, 所以 r^{2008} = 32/2 = 16 = 2^4. 故 r = 2^{4/2008} = 2^{1/502}.Ai = 2×r^i, i=1,...,2007. 所以 ΠAi = (2r)(2r^2)...(2r^2007} = (2^2007)(r^{1+2+...+2007}) = 2^2007(r^{(1+2007)×2007/2}) = 2^2007(r^2015028) = (2^2007)×2^{2015028/502} = (2^2007)(2^4014) = 2^6021.

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[美國直購] 3M GPFMP13 金色 31.9cm*21.3cm 螢幕防窺片 Gold Privacy Filter for Apple MacBook Pro

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