at a rate of + [number]
后接具体数值或百分比，表示速度、频率或比率。
The city's population is growing at a rate of 2% per year.
该城市的人口正以每年2%的速度增长。
比率；比例；价格；费用；费率；计时工资；工酬；税；地方税；等级；级别
Speed or frequency measured in relation to a unit of time, or the speed at which something changes
两个数量、价值等之间的比例关系
The proportional relationship between one amount, value etc. and another.
相对于时间单位的大小或频率
a magnitude or frequency relative to a time unit
速度
Speed.
基于某种基础的收费或支付金额
amount of a charge or payment relative to some basis
变化或进展的相对速度
The relative speed of change or progress.
进展或变化的相对速度
the relative speed of progress or change
(单个)物品的价格；成本。
The price of (an individual) thing; cost.
针对特定情况、商品、服务等的统一价格或收费。
A set price or charge for all examples of a given case, commodity, service etc.
按时间单位计算的工资。
A wage calculated in relation to a unit of time.
各种税款,尤指地方当局征收的税。
Any of various taxes, especially those levied by a local authority.
根据状况、大小等对船舶进行的分级；引申为等级。
A class into which ships were assigned based on condition, size etc.; by extension, rank.
计时器在单位时间内的走时误差(快或慢)。
The gain or loss of a timepiece in a unit of time.
The heart rate increases during exercise.
运动时心率会增加。
用法提示：此处rate表示频率，即心率。
AI contextual example
What is the interest rate on this loan?
这笔贷款的利率是多少？
用法提示：此处rate表示费用或利率。
AI contextual example
The rate of deforestation has slowed down.
森林砍伐的速度已经减缓。
用法提示：此处rate表示变化的速度。
AI contextual example
后接具体数值或百分比，表示速度、频率或比率。
The city's population is growing at a rate of 2% per year.
该城市的人口正以每年2%的速度增长。
常用于经济、统计等语境，指某事物的比率或变化速度。
The rate of inflation has remained stable this year.
今年的通货膨胀率保持稳定。
后接定语从句，描述某动作或变化发生的速度。
The rate at which the ice is melting worries scientists.
冰融化的速度令科学家担忧。
用于根据当前趋势推断结果，this 指当前情况，that 指之前提到的情况。
At this rate, we'll never finish on time.
照这个速度，我们永远无法按时完成。
强调运动或进程的快慢，常与rate互换但更常用于具体运动速度
多用于形容步调或节奏，与rate相比更侧重持续性或步进式
仅限于金钱方面的rate，不适用于速度或比率
与price相似但强调支出而非标价，不可用于速度或比例
强调数量间的比例关系，不用于速度或价格
grammar · medium
易错句子The city's population is growing in a fast rate.
正确表达The city's population is growing at a fast rate.
表示“以……速度/比率”时，rate 固定与介词 at 搭配（at a fast rate、at a rate of 5%），不能用 in。汉语“以……速度”中的“以”被直译成 in，是典型的介词误用。
grammar · medium
易错句子The rate of car accidents have risen sharply this year.
正确表达The rate of car accidents has risen sharply this year.
主语的中心词是单数 rate，of car accidents 只是修饰成分，所以谓语要用单数 has。汉语没有主谓一致的变化，学习者容易根据紧挨谓语的复数 accidents 误用 have。
grammar · medium
易错句子She has high rate of success in her experiments.
正确表达She has a high rate of success in her experiments.
此处 rate 作可数名词，单数形式前必须加不定冠词 a。汉语名词前不用冠词，学习者常把 a/an 漏掉。
针对“速度、变化率”这一义项的反义词
利率
The central bank cut the interest rate by 0.25%.
中央银行将利率下调了0.25%。
汇率
The exchange rate between the dollar and the euro is favorable.
美元和欧元之间的汇率很有利。
出生率
The birth rate has declined in many developed countries.
许多发达国家的出生率已经下降。
失业率
The unemployment rate fell to a record low.
失业率降至历史最低点。
心率
Exercise can lower your resting heart rate.
锻炼可以降低你的静息心率。
与rate构成exchange rate（汇率），描述货币兑换的比例
与rate构成interest rate（利率），表示借贷的成本或收益
与rate构成growth rate（增长率），衡量经济或数量的增长速度
与rate构成discount rate（贴现率），用于金融计算或定价优惠比例
与rate构成tax rate（税率），表示征税的比例
无论如何
At any rate, we should finish the project on time.
无论如何，我们应该按时完成项目。
一流的
She is a first-rate doctor.
她是一流的医生。
二流的
The movie was second-rate at best.
这部电影顶多是二流的。
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增长率
The rate of growth in the economy is slowing down.
经济增长率正在放缓。