如图,点A、B在直线L同侧,点B’是点B关于L的对称点,AB'交于点P。

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如图,点A、B在直线L同侧,点B’是点B关于L的对称点,AB'交于点P。~

解:
因为点b’是b关于直线l的对称点
所以pb=pb',qb=qb'
所以aq+qb=aq+qb'
在δaqb'中,根据“三角形中任意两边的和大于第三边”得:
aq+qb'>ab'
所以aq+qb>ab'
因为ab'=pa+pb'=pa+pb
所以aq+qb>pa+pb

这是初中的知识吧!
(1)当然相等!B点的对称点是B',故BP=B'P,而AB'=AP+B'P=AP+BP,所以就相等了啊
(2)当然是AQ+BQ大啊,作B点的对称点,连接QB',而AQ和QB'两条线段不在同一条直线上,AP和PB'在同一条直线上,而两点之间线段最短,故AP+PB'最短!不懂再问!

Huang Xin mapping

Morning News reporter Huang Yan

If it is not much behind and MVP of the Adidas logo in front of reporters like Derrick Rose is an athlete. Arrived in Shanghai yesterday, from the airport out of the Rose than all the sub-imagined smaller, but also from time to time with a slightly humble expression, hard to believe that the NBA last season he had just crowned the youngest MVP (most valuable player).

In fact, Ross has a lot of those big names indeed different, he is easy to blush,nike heels, Emotion Shigeyoshi, but not good at camouflage, even in the face reporters,jordan heels, he is not willing to look with an aggressive look directly at each other. This is a bit like he is now the location of the Chicago Bulls, is not glamorous, but there is feeling full. Strictly speaking, he can not become the next Michael Jordan,nike free run, but enough to be unique in NBA history that Derrick Rose.

frank face shut down: in addition to prayer, or prayer

Rosss opening with some stereotypes, although he repeatedly said the staff around you do not want to "NBA shut down" as the theme, but still can not avoid such questions. This summer, when NBA stars such as wholesale bulk packages to flock to China, how should shut down the crisis, has become that they must face.

Fortunately, Ross does not resist this, even in the face, "Bryant signed in Shanxi," the timeliness of this topic, he is still willing to face the response. But he believes that players like him, except to wait, as powerless.

Ross said he has been fully prepared to shut down, no matter how long he must wait. "I do not know what the outcome will be, but now for us is really very difficult, all the players want to end as soon as possible, we can only pray for both sides reach an agreement, not only for ourselves, but for the fans No fans, we and the game will not exist. "

in Rosss eyes,ken griffey jr shoes, he is not a person can be about NBA world, more often, he is willing and the other players, hard do a good job, holding the salary on time, and then put a long holiday. So, Ross repeatedly stressed that he was particularly interested in signing Bryant to understand the decision of Shanxi, in his view,cheap griffey shoes, this is not as people imagine it is not sincere. "I think we do not understand how difficult for us now, if there is sufficient income, we will not make any other decision,nike high heels, only in their own arena to play good,griffey sneakers, hard win, but now, With the NBA lockout, many players had to make other choices for practical reasons, we can do what you say? "Ross said," I think in addition to prayer,king griffey shoes, or prayer. "

Speaking stalled topic, Ross has been hunched shoulders, his face with a helpless expression,nike heels for women, as if to try to tell them to shut down for the unfairness. This makes the whole interview process will look more like a complaint. This some funny pictures, almost consistently throughout the interview, the only "accident" appears at the end of time. A reporter asked changing the subject rather abruptly Ross: What is your favorite girls? I did not expect to win just to survive but also got angry young man immediately put away all the expressions, to squeeze out such as "beautiful", "moderate" so popular adjective you want to get away, but he was downcast eyes panic has betrayed his true feelings. Some fear that his love, at least do not want too early to reveal their exact definition for love, but for the simple reason, because he was still young when it was shut down he does not worry the only thing.

love Chicago: boots printed on the subway home

Of course, do not want to talk about love, does not mean no one will love his heart.

Adidas new building for the Ross Ross II boots (adizero Rose 2.0), there is a people feel incredible detail. Heel behind a big L,dunk heels, but this is not the abbreviation of the name Ross. According to his own, which is another name for the Chicago subway, the subway home showing the distribution as an L-shaped, which he considered most representative of the entire image of the city of Chicago, so, in the design of shoes, Ross strongly demanded that it be printed on the the whole shoe most "essence" of the ankle.

The idea surely is not who can understand, unless the love of family love to the bone, who would have thought such publicity with the way the home introduced to the world? In fact, only chatted about Chicago, Ross will be showing off his tender side. Perhaps only on the land, he was able to find all their own.

"If you shut down, I think I would not leave too far from Chicago, if possible, I would like to marked my life." He said so. The eyes of determination, so you have to believe he said that.

Ross said he never thought of small to large city may give his all, a child barefoot in the park playing football on the grass indiscriminately,new ken griffey shoes, there will be no illusion over their own standing the NBA one day. But sometimes luck is always a loss to give these kids some tips,griffey shoes, and Jordan appear, so that he finally found that one of their own world. Ross said he was pleased with Jordan in Chicago occurred in the intersection, and that this will be the driving force in his life.

from a few words is not difficult to see that he has on the topic of heart tired of Jordan, in fact, chatted with Ross Jordan, the more often a fellow can feel between the intimacy. Ross joined the NBA from the start, many people love him and Jordan on the scale of comparison, he can do, but in the city of Chicago, found that he and Jordan are the intersection points. And compared to the idol, the Chicago given by his sense of belonging,griffey shoes, clearly makes him feel warm and cordial.

a close look at Rosss new boots,griffeys shoes, the insoles that never was concerned about, is full of the Chicago subway map. Criss-cross the subway line, carrying the Ross drip from the civilian to the superstar. Ross in a paranoid way,ken griffey jr sneakers, this section is known locally as "Chicagos beating heart of steel" completely in front of us. As he himself said, this can represent all of his experience.

Author: Huang Yan

相等,你可以连接BB',交点为Q,便可知三角形BPQ与B'PQ是全等三角形

解:
因为点b’是b关于直线l的对称点
所以pb=pb',qb=qb'
所以aq+qb=aq+qb'
在δaqb'中,根据“三角形中任意两边的和大于第三边”得:
aq+qb'>ab'
所以aq+qb>ab'
因为ab'=pa+pb'=pa+pb
所以aq+qb>pa+pb

已知:点A、B在直线l的同侧,AB=4cm,点c是点B关于直线l的对称点,ac交直线L于于点D,AC=5CM,则△ABD的周长为 ( )cm. 9


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过点a点b分别画出直线c的垂线
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凤翔县18711514447: 如图,点A、B在直线L同侧,点B'是点B关于L的对称点,AB'交于点P. -
雍弯磷霉: (1) 因为 点B'是点B关于L的对称点, 所以 直线L是线段BB'的 垂直平分线, 所以 BP=B'P 所以 AB'=AP+BP.(2) AQ+BQ大于AP+BP, 因为 直线L是BB'的垂直平分线,点Q在BB'上, 所以 BQ=B'Q 在三角形AB'Q中 AQ+BQ大于AB' 而 AB'=AP+BP, 所以 AQ+BQ大于AP+BP.

凤翔县18711514447: 已知:如图,点A和点B在直线l同一侧.求作:直线l上一点P,使PA+PB的值最小. -
雍弯磷霉:[答案] 作法: 作A点关于直线l的对称点A′, 连接A′B交l于点P, 则P点为所求.

凤翔县18711514447: 如图,点A、B是直线l同侧的两点,请你在l上求作一个点P,使PA+PB最小 -
雍弯磷霉: 作点A关于l的对称点A′,连接A′B,交l与点P,点P就是所求.

凤翔县18711514447: 如图,点A , B在直线L同侧,点B' 是点B关于L的对称点,AB'交L于点P
雍弯磷霉: 解: 因为点B'是B关于直线L的对称点 所以PB=PB',QB=QB' 所以AQ+QB=AQ+QB' 在ΔAQB'中,根据“三角形中任意两边的和大于第三边”得: AQ+QB'>AB' 所以AQ+QB>AB' 因为AB'=PA+PB'=PA+PB 所以AQ+QB>PA+PB

凤翔县18711514447: 点A、B位于直线l的同侧,A、B关于直线l的对称点分别为点A'、B',点P在直线l上.当PA+PB最短时 点P是()a) AA'与l的交点b)BB'与l的交点c)BA'与l的交点... -
雍弯磷霉:[答案] C A、B关于直线l的对称点分别为点A'、B' 所以pA=pA' PA+PB=pA' +pB其最短,就是A'与B的联线 你画画图,就明白了!

凤翔县18711514447: (2010•淮安)(1)观察发现:如(a)图,若点A,B在直线l同侧,在直线l上找一点P,使AP+BP的值最小.做法如下:作点B关于直线l的对称点B',连接AB',与直... -
雍弯磷霉:[答案] (1)BP+PE的最小值= BC2−BE2= 22−12= 3. (2)作点A关于CD的对称点A′,连接A′B,交CD于点P,连接OA′,AA′,OB. ∵点A与A′关于CD对称,∠AOD的度数为60°, ∴∠A′OD=∠AOD=60°,PA=PA′, ∵点B是 AD的中点, ∴∠BOD=30°, ∴∠A′...

凤翔县18711514447: (2013•日照)问题背景:如图(a),点A、B在直线l的同侧,要在直线l上找一点C,使AC与BC的距离之和最小,我们可以作出点B关于l的对称点B′,连接... -
雍弯磷霉:[答案] (1)作点B关于CD的对称点E,连接AE交CD于点P, 此时PA+PB最小,且等于AE. 作直径AC′,连接C′E. 根据垂径定理得 BD= DE. ∵∠ACD=30°, ∴∠AOD=60°,∠DOE=30°, ∴∠AOE=90°, ∴∠C′AE=45°, 又AC′为圆的直径,∴∠AEC′=90°, ...

凤翔县18711514447: 比较线段大小 -
雍弯磷霉: 解: 因为点B'是B关于直线L的对称点 所以PB=PB',QB=QB' 所以AQ+QB=AQ+QB' 在ΔAQB'中,根据“三角形中任意两边的和大于第三边”得: AQ+QB'>AB' 所以AQ+QB>AB' 因为AB'=PA+PB'=PA+PB 所以AQ+QB>PA+PB供参考!江苏吴云超祝你学习进步

凤翔县18711514447: 问题背景:如图(a),点A,B在直线L的同侧,要在直线L上找一点C,使AC与BC的距离之和最小,我们可以作出点B关于直线L的对称点 B′,连接A B′... -
雍弯磷霉:[答案] (1)如图b,过点B作CD的垂线交CD于E点,交圆O于B1点,连接AB1,当P点为AB1与CD的交点时,AP+BP的值最小.过A点作CD的垂线交CD于F点,交圆O于H点,过B1作AH的垂线交AH于G点.由垂径定理可知:BP=B1P;∵∠ACD=30°,...

凤翔县18711514447: 已知:如图,点A和点B在直线l同一侧.求作:直线l上一点P,使PA+PB的值最小 -
雍弯磷霉: 解答:作法:作A点关于直线l的对称点A′,连接A′B交l于点P,则P点为所求.

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