demonstrate

prove, certify, demonstrate, establish, testify

这些动词均含有“证明、证实”之意。
prove: 普通用词，指通过某种手段或方式提供证据以验证某事物真实与否，某结论正确与否等情况。
certify: 较正式用词，多指有签字盖章的、合符法律程序的书面证明。
demonstrate: 指通过推理、辩论、实验或以实例来确定事物的正确与否。常用于理论、学说、定律等的证明上。
establish: 指证实事实或理论的真实性与正确性，使其能长期存在或为人们所接受。
testify: 较正式用词，既指出庭作证，提供证据，又指为某人或某事的是否真实提供证据或证明。

show, exhibit, display, manifest, demonstrate

这些动词均含“显示、显露、展现”之意。
show: 泛指任何有意或无意地把东西给别人看的行为。
exhibit: 指公开或正式地展示，以便引人注目或让人检查。
display: 多指将某物陈列在显眼之处以便让发现其优点，侧重有意识地显示。
manifest: 书面正式用词，指明确地表明。
demonstrate: 指明显地表露感情。也指用实例、实验推理等手段表演证明，或论证某一问题。

动词 demonstrate:

1. show or demonstrate something to an interested audience
   同义词：show, demo, exhibit, present
2. establish the validity of something, as by an example, explanation or experiment
   同义词：prove, establish, show, shew
3. provide evidence for; stand as proof of; show by one's behavior, attitude, or external attributes
   同义词：attest, certify, manifest, evidence
4. march in protest; take part in a demonstration
   同义词：march

1. She demonstrated that 2 and 2 are four.
   她证明2加2等于四。
2. Please demonstrate how the machine works.
   请示范机器的使用方法。

dem.on.strate

v.（动词）
dem.on.strat.ed,dem.on.strat.ing,dem.on.strates
v.tr.（及物动词）
To show clearly and deliberately; manifest:
表明：清楚细致地显示；表明：
例句：
demonstrated her skill as a gymnast; demonstrate affection by hugging.
显示她的体操技巧；拥抱以示亲热

To show to be true by reasoning or adducing evidence; prove:
证实，论证：通过推理或引证说明真实性；证明：
例句：
demonstrate a proposition.
证明一个命题

To present by experiments, examples, or practical application; explain and illustrate:
演示，说明：通过实验、例子或实际应用表明；解释并说明：
例句：
demonstrated the laws of physics with laboratory equipment.
用实验装置演示物理定律

To show the use of (an article) to a prospective buyer:
展示，示范：向可能的购买者示范（某物品的）使用：
例句：
The salesperson plugged in and demonstrated the vacuum cleaner.
售货员插上电源，示范真空吸尘器的操作

v.intr.（不及物动词）
To give a demonstration:
演示：
例句：
described the dance step, then took a partner and demonstrated.
描述舞步，然后带着舞伴作演示

To participate in a public display of opinion:
示威：参加一公众集会以表明自己的观点：
例句：
demonstrated against tax hikes.
示威反对税收上涨

来源：
Latin dômônstr3re dômônstr3t-
拉丁语 dômônstr3re dômônstr3t-
dô- [completely] * see de-
dô- [完全地] *参见 de-
mônstr3re [to show] from mônstrum [divine portent] from monôre [to warn] * see men-
mônstr3re [显示] 源自 mônstrum [神奇的预兆] 源自 monôre [警告] *参见 men-