Question

一道数学题：已知等边三角形ABC和点P,设点P到△ABC三边AB、AC、BC的距离分别为h1，h2，h3，△ABC的高为h

若点P在一边BC上，此时h3=0，可得结论：h1+h2+h3=h
当点P在△ABC外时，如图这种情况，怎样证明 h1-h2-h3=h

谢谢了！
答得好必有重赏！

Answer 1

你试一试：连接AP ,BP ,CP然后用面积计算。
S△abc=S△apb-S△apc-S△bpc
=1/2AB.PD+1/2BC.PF+1/2AC.PE
因为AB=BC=AC
所以PD-PE-PF=AM
即h1-h2-h3=h
挺好的吧 别忘了给分呀！

追问

这道题除了用面积法证明，还有别的方法吗？

追答

应该没了
反正我没找到

Answer 2

因为h1+h2+h3=h那么将这些高都向量化，有了方向，就有了正负号，然后按代数的方式计算就行

Answer 3

6546

Answer 4

Dabanqiao snail Wan group facing demolition villagers forget document accounts: one more account than have 50 million compensation.
from November last year, Guandu District board Wan Town snail emerging village group, some people are starting to divorce, to the last few days, up to one day go to divorcing couples reached 10 to right. In the local police station, as of now, more than 50 families have been made household applications. Cause local divorce,Christian Louboutin pas cher, household rife reason the villagers in the famous demolition of household will be able to earn more money to say.
life support because of Kunming new airport construction project service area, the village group was assigned to the demolition range. Because of the way of relocation compensation wave in this small village 179 people intensified.
get together and divorce

to seventy-eight-year-old on the elderly, Lawrence married in January of the next couple

2011 年 3 月 2 at noon, the board Town Police Station, four or five square meters of the reception hall full of people. Most of these people are emerging snail Wan village group just divorced couples divorce, they are in their twenties and thirties of the young, the elderly have their sixties and seventies, almost all of their hands holding the account books, divorce, and village size photos to open the application proof of household materials. They come to have only one objective - for splitting of tenancies. In addition, there are very few had made an application with the young people separated from their parents.
12 years of marriage, the family of three horse happy, never thought of divorce, they would never divorce. However, more than a family can have hundreds of thousands of compensation payments, old horse, and his wife have to make hard choices, not to mention families to the village, from the sixties and seventies for the elderly, Lawrence married next month newlyweds are off ... And are well intended: marriage, Divorce can be more than 50-year-old Chiang Kai hilarious refused to leave his daughter and his wife's relatives and family together to do battle again to his ideological work. Embattled Chiang Kai-shek, and his wife eventually divorced.
fact, not all of the couples went to the village of divorce in the village several young couple, despite the parents handle the divorce, but they are still unmoved. The reason is that they are worried, really, the child how to do ?!live life, together for decades, when the grandparents are the person who, to the old, also ran a divorce, say a joke. Besides, their live so much older, take more money, but also can endure much? ... ... Airport Commission through the Queensland (2010) No. 1 - clearly related to compensation.

demolition of the house are four layers of base compensation to the housing structure, floor, decoration is different from the standard in 2100 yuan -2500 yuan / square meter; can only identify a household or a housing; 4 layers built cover (with 4 layers), each floor according to 2100 yuan -2500 yuan / square meters of standard compensation, does not meet the 4-layer (with four) and , unified by the brick building costs deducted 700 yuan / square meter, according to 1400 yuan / square meter of the makeup policy for compensation; beyond the 4-layer, according to the structural framework from the shacks to five grades, $ 100 -900 yuan / square meter of construction cost to compensate ... ...

layer, but most of the villagers have two or two more buildings ... ... If my family had two houses, of which one is identified, in line with the base layer 4, then the minimum standard of compensation in accordance with paragraph 1.26 million yuan will be entitled to compensation, that is, 4 (floor) × 150 square meters (floor area) × 2100 yuan (minimum standard of compensation) = 126 million; if we are, regardless of household, had in excess of 4 layers other than the building room, if only one layer, then according to the highest standard of compensation may be compensated 135,000 yuan, or 1 (floor ) × 150 square (floor area) × 900 yuan (out of 4 layers of the highest standard of compensation) = 13.5 million; but if the original one divided into two, then this one is not only a layer of building 4 floors,chaussures louboutin, in accordance with minimum standard of compensation may be 630,000, or 1 (floor) × 2100 yuan (minimum compensation standard) × 150 square meters (floor area) + 3 (floor) × 150 square meters (floor area) × 1400 ($ 4 level within the Top-compensation) = 63 million; then, if one is divided into two, or at least more than can be nearly 50 million of compensation.

all of the reactions

Dabanqiao Police Station

household currently receives more than 50 applications

Dabanqiao Police Station WANG Hai-jiang, director of introduced snail Wan group of villagers divorce, household applications, which are in line legal, real and effective, police have no right, no reason will not be accepted as of now, has received more than 50 household applications, however, the household registration in accordance with relevant national policies can not be re-splitting, but also a number of statutory requirements, such as clear division of property the couple, clearly support parents and child-rearing responsibilities,chaussure foot nike, and both parties must have independent housing.

As they are not compensation for the demolition policy is directed at, and we can not easily draw a conclusion. But such a short period of time there are so many villagers divorce, splitting an application made is certainly not normal. Currently, we have reported this situation to higher authorities. , as at 3:00 p.m. on March 3 this year has been the Guandu divorce 352 pairs, of which 1 / 3 are large village board snail Wan Town emerging group of villagers, they all agreed to a divorce, and feelings are not grounds for divorce, and.

From January, villagers have come to a divorce. Now every day more than 30 pairs of people to divorce, 1 / 3 comes from the large emerging village board snail Wan Town group. reason may be that their condition does not match with the relevant policies.

Kunming Airport Economic Zone

yet to reply on the matter

If, as the old village Ma said the case, more is not said, Take now the villagers do the math to count this account: that there are more than 170 households, and now an applicant has discharged more than 280 households out of which so much more than 110 households, each multi-user access to at least at least nearly 50 million in damages, which means the government will increase more than 500 million of compensation and this single Who's Buying? From the legal terms, the villagers of divorce, the applicant household, all aspects are in line with current law, a real and effective, then became its development do?

Law Review

accordance with the approved 179 to compensate

Lu Jiang said that on the one hand, according to the Marriage Law provides that citizens enjoy freedom to marry, divorce, freedom even from the appearance point of view, snail Wan group of villagers in response to government policy to divorce, relocation compensation, but not in the law easily defined as false divorce.

the other hand, the government issued demolition notice, the project has made it clear the scope of compensation for demolition, that the new Kunming airport project life supporting service area Area of ??the demolition of a newly developed range of snail Bay residents involved in the whole 179 team. So in the implementation and enforcement of compensation policy, even if the villagers divorced, re-divided household, government departments have also only in accordance with the approved 179 to compensate.

The reason why people get together to divorce, to fully explain their understanding of the relocation compensation standard deviations occur, or even appear subjective, whim while attempting to drill demolition compensation loopholes. The other hand, show the government in carrying out the demolition work, and propaganda is not in place. the existing system and within the provisions of the law, balance of interests, improve and do the demolition, resettlement, compensation and other related work.

the Editor

demolition order multisection a suite, get more compensation, between husband and wife cost-effective, but cost is definitely not small. marriage is a growing vulnerability of the undisputed fact that when we put the marriage as a tool, would like to achieve some purpose, when the original marriage is obviously fragile load was added a burden on eventually may outweigh the benefits.

and use the policy, under the measures is that many objects have been relocated, buyers in the face of the demolition, the option to purchase one when, but certainly not to draw on the experience do not >