Bước 1: Tính toán vector \(\vec{BI}\) Theo để bài và công thức đã cho, ta có thể biểu diễn vector \(\vec{BI}\) qua các vector cơ sở \(\vec{BA}\) và \(\vec{BC}\):\(\vec{BI}=\frac{1}{2}(\vec{BA}+\vec{BM})=\frac{1}{2}(\vec{BA}+\frac{1}{2}\vec{BC})=\frac{1}{2}\vec{BA}+\frac{1}{4}\vec{BC}\)Bước 2: Tính toán vector \(\vec{BK}\) Ta biểu diễn vector \(\vec{BK}\) qua các vector \(\vec{BA}\) và \(\vec{BC}\).Sử dụng quy tắc cộng vector, ta có \(\vec{BK}=\vec{BA}+\vec{AK}\).Theo giả thiết \(AK=\frac{1}{3}AC\), nên \(\vec{AK}=\frac{1}{3}\vec{AC}\).Ta cũng có \(\vec{AC}=\vec{BC}-\vec{BA}\).Thay vào biểu thức của \(\vec{BK}\):\(\vec{BK}=\vec{BA}+\frac{1}{3}\vec{AC}=\vec{BA}+\frac{1}{3}(\vec{BC}-\vec{BA})=\vec{BA}+\frac{1}{3}\vec{BC}-\frac{1}{3}\vec{BA}=\frac{2}{3}\vec{BA}+\frac{1}{3}\vec{BC}\)Bước 3: So sánh hai vector và kết luận So sánh hai vector \(\vec{BI}\) và \(\vec{BK}\):\(\vec{BI}=\frac{1}{2}\vec{BA}+\frac{1}{4}\vec{BC}\)\(\vec{BK}=\frac{2}{3}\vec{BA}+\frac{1}{3}\vec{BC}\)Ta thấy rằng \(\vec{BK}=\frac{4}{3}(\frac{1}{2}\vec{BA}+\frac{1}{4}\vec{BC})\). Do đó:\(\vec{BK}=\frac{4}{3}\vec{BI}\)Vì vector \(\vec{BK}\) tỉ lệ với vector \(\vec{BI}\) (hệ số tỉ lệ \(k=\frac{4}{3}\)), và cả hai vector đều xuất phát từ điểm chung B, nên ba điểm B, I, K thẳng hàng. Trả lời: Ba điểm B, I, K thẳng hàng.  Đang tạo đường liên kết công khai...Cảm ơn bạnÝ kiến phản hồi của bạn sẽ giúp Google cải thiện. Vui lòng xem Chính sách quyền riêng tư của chúng tôi.Chia sẻ thêm ý kiến phản hồiBáo cáo vấn đềĐóngKết quả có liên quanHiện tất cả(function(){var aa=Object.defineProperty,da=globalThis,w="Int8 Uint8 Uint8Clamped Int16 Uint16 Int32 Uint32 Float32 Float64".split(" ");da.BigInt64Array&&(w.push("BigInt64"),w.push("BigUint64")); var fa=function(a,b){if(b)for(var c=0;c<w.length;c++)ea(w[c]+"Array.prototype."+a,b)},ha=function(a,b){b&&ea(a,b)},ea=function(a,b){var c=da;a=a.split(".");for(var d=0;d<a.length-1;d++){var e=a[d];if(!(e in c))return;c=c[e]}a=a[a.length-1];d=c[a];b=b(d);b!=d&&b!=null&&aa(c,a,{configurable:!0,writable:!0,value:b})},ia=function(a){a=Math.trunc(a)||0;a<0&&(a+=this.length);if(!(a<0||a>=this.length))return this[a]};ha("Array.prototype.at",function(a){return a?a:ia});fa("at",function(a){return a?a:ia}); ha("String.prototype.at",function(a){return a?a:ia});ha("Promise.withResolvers",function(a){return a?a:function(){var b,c;return{promise:new Promise(function(d,e){b=d;c=e}),resolve:b,reject:c}}});/* Copyright The Closure Library Authors. SPDX-License-Identifier: Apache-2.0 */ a:for(var ja=["CLOSURE_FLAGS"],ka=this||self,la=0;la<ja.length;la++)if(ka=ka[ja[la]],ka==null)break a;var ma={push:a=>void a()};function na(a){var b=window.google?.timers?.load;b&&(b=b.e.folr,google.c.e("load","folr",b?`${b},${a}`:a))};const oa=new Set("aaft aafit aafct irli sart scrt saft saftwgc scat".split(" "));function z(){return typeof csi_o_qull!=="undefined"&&csi_o_qull}function C(){return typeof csi_o_dle!=="undefined"&&csi_o_dle&&z()} var pa=function(a,b=!1){const c=a.C;a.i=!0;a.F.forEach(d=>{d()});a.F=[];b&&(a.X=!0,C()&&(a.C=c))},qa=function(a){if(Array.isArray(a.g.cbvi))for(const b of a.g.cbvi)b();a.g.cbvi=ma},D=function(a,b,c){if(C()){if(!a.i||a.X)if(a.B[b]=Math.max(a.B[b]||0,c),a.j)return;a.J[b]=Math.max(a.J[b]||0,c)}else a.B[b]=Math.max(a.B[b]||0,c)},ra=function(a,b="all",c=a.B,d=!1){const e=b==="all";let g={};if(e)qa(a),g=c;else for(var h of Object.keys(c))oa.has(h.split("-")[0])||(g[h]=c[h]);(c=google.stvsc?.ns||window.performance?.timing?.navigationStart)&& (g.ns=c);a:{c=a.url;if(h=window._csc!=="agsa"||!window._cshid)h=window.google?.rdn?window.performance?.getEntriesByType?.("navigation")[0]:void 0,h?(h=h.type,h=!h||h==="navigate"):h=!window.performance?.navigation?.type;if(h&&(c=(c=c.match(RegExp("[?&]qsubts=(\\d+)")))&&Number(c[1]),c>0))break a;c=void 0}c&&(g.gsans=c);(c=google.timers.load?.t.prs)&&(g.prs=c);c=a.g.t.getAttribute("eid");h=[];for(const k of Object.keys(g))h.push(`${k}.${g[k]-a.la}`);b=`/gen_204?s=async&astyp=${a.g.astyp}&t=${d?`${b}2`: b}&atyp=csi&ei=${c}&rt=${h.join(",")}`;e&&(a.R&&(b+=`&lvhr=${a.R}`),b+=`&${"imn"}=${a.T}`,b+=`&${"ima"}=${a.G}`);b+=`&${"folid"}=${a.g.id}`;a.ma?navigator.sendBeacon(b,""):google.log("","",b)},sa=function(a,b,c,d=Date.now(),e=!1){if(z()&&!a.i){a.F.push(()=>{sa(a,b,c,d,e)});if(!C())return;a.j=!0}const g=google.cv(b,!1,a.g.t),h=!!(g&1);h&&(c&&(a.R=c),D(a,"aaft",d),D(a,"aafct",d));ta(a,b,d,h,e);g&4&&(a.ja=!0,a.G===a.K&&qa(a));a.j=!1},ta=function(a,b,c,d,e=!1){if(z()&&!a.i){a.F.push(()=>{ta(a,b,c,d,e)}); if(!C())return;a.j=!0}for(const g of ua(a,b))for(const h of E(g)){if(!h)continue;const k=`${"saft"}-${h}`,f=`${"saftwgc"}-${h}`,l=`${"sart"}-${h}`;if(g.contains(b)||!a.i&&b.contains(g))d&&(D(a,k,c),e||D(a,f,c)),D(a,l,c)}a.j=!1},ua=function(a,b){if(typeof csi_o_qso!=="undefined"&&csi_o_qso){b=b.querySelectorAll("[data-subtree]");for(const c of b){b=E(c);for(const d of b)a.U.includes(c)||a.U.push(c)}return a.U}return a.g.t.querySelectorAll("[data-subtree]")},E=function(a){return(a=a.dataset.subtree)? a.split(","):[]},va=function(a,b,c,d=!1){b.getAttribute("data-deferred")==="1"?google.rll(b,!0,()=>{va(a,b,c,d)}):d||(b.getAttribute("data-deferred")==="2"&&b.setAttribute("data-deferred","3"),d=!0,wa(a,b,c))},xa=function(a,b){var c=Date.now();const d=b.getElementsByTagName("img");for(let g=0;g<d.length;g++){const h=d[g];if(h.dataset.imglogged)continue;h.dataset.imglogged="true";++a.T;var e=h.complete&&!h.getAttribute("data-deferred");const k=h.hasAttribute("data-noaft");if(e||k){++a.C;continue}e= google.cv(h,!1,a.g.t);h.setAttribute("data-aatf",String(e));const f=!!(e&1);if(f)++a.G,Array.isArray(a.g.cbvi)||(a.g.cbvi=[]);else if(h.loading==="lazy"){++a.C;continue}h.getAttribute("data-imgprocessed")?++a.C:(google.rll(h,!0,()=>{va(a,h,f)}),a.B.irfi||D(a,"irfi",c),D(a,"irli",c))}sa(a,b,void 0,c)},wa=function(a,b,c,d=Date.now()){a.B.irfie||D(a,"irfie",d);if(z()&&!c&&!a.i){a.F.push(()=>{wa(a,b,c,d)});if(!C())return;a.j=!0}++a.C;c&&(++a.K,D(a,"aaft",d),D(a,"aafit",d));ta(a,b,d,c);a.ja&&a.G===a.K&& qa(a);!a.Y||a.i&&a.F.length!==0||(ya(a),a.S());a.j=!1},ya=function(a){C()||a.Y&&a.K===a.G&&pa(a)},za=function(a,b,c){if(z()&&a.W&&!a.i){a.F.push(()=>{za(a,b,c)});if(!C())return;a.j=!0}for(const d of ua(a,b))for(const e of E(d)){if(!e)continue;const g=`${"sirt"}-${e}`,h=`${"sart"}-${e}`,k=`${"scrt"}-${e}`;let f=!1;if(b===d||!a.i&&b.contains(d)){if(!a.B[g]||C()&&!a.J[g])f=!0,D(a,g,c);D(a,h,c);D(a,k,c)}else d.contains(b)&&(D(a,h,c),D(a,k,c));(e==="mfl"||e==="aimfl"&&a.g.astyp.includes("aim"))&&f&&(a.W= !0,ra(a,g))}a.j=!1},Aa=class{constructor(a,b=Date.now(),c=window.location.search,d=typeof usb!=="undefined"&&usb){this.g=a;this.la=b;this.url=c;this.ma=d;this.B={};this.J={};this.j=!1;this.U=[];this.F=[];this.K=this.G=this.C=this.T=this.R=0;this.X=this.i=this.W=!1;this.g.t&&this.g.id&&google.cv(this.g.t,!1)&1&&na(this.g.id);this.g.ullcb=()=>{pa(this,!0)}}S(){this.T!==this.C||this.gb||(D(this,"art",Date.now()),ra(this),C()&&(pa(this),ra(this,"all",this.J,!0)))}ka(a){sa(this,a,void 0,void 0,!0)}Z(){this.Y= !0;ya(this)}};window.google=window.google||{};const Ba=window.performance&&window.performance.timing&&"navigationStart"in window.performance.timing,Ca=google.stvsc&&google.stvsc.ns;var Da=Ba?Ca||window.performance.timing.navigationStart:void 0;function Ea(){return window.performance.now()-(google.stvsc&&google.stvsc.pno||0)}const Fa=google.stvsc&&google.stvsc.rs;var G=Ba?Fa||window.performance.timing.responseStart:void 0;function Ga(a,b){let c,d=Date.now();const e=window.performance;e&&(e.now&&(c=Math.floor(Ea())),Da&&G&&G>Da&&G<=d&&(d=G,c=G-Da));a(d);b(c)};var Ha=function(a){let b="";a&&(b=typeof a==="string"?a:google.getEI(a));return b&&b!==""?b:""},Ia=class{constructor(){this.g=[]}};var Ja=new Set("aco aec aep arqrcd arv asrc atp authuser boostid boostvid bshope cds cf channel cs csui data_push_epoch dcr deb debtime dthp e edbg editnurl editourl editq editrt elrc esrch eval_id exp exp_uid expflags expid explain exprollouts fakeads fesp force_experience frendfilter frozen_clock garc gl gsas gsc hl host hotel_dates hotel_ds hotswaps hts igu imgn isc jsmode lns_img lns_int lns_mode lns_surface lns_tqs lr lsf lsft lsisr ltkn mactx masfc mat mcp mergelabel mgtyp mlp mrc nef nem nep ogdeb opti optq opts optt pcs pga piis plugin pvf pws rciv rlst rlz safe sca_esv sessionid shopmd shoprs shopvl shortlistmids sidesearch skew_host skew_hotswaps skip sni snr source source_ip ssl_dbg st stick stkp tbcp tbs tcfs tsdo udf udm uideb ulrc useragent uuld uule v vit vsint vsrid vuid".split(" ")), Ka=new Set(["ampcct","client","dcr","hs","v"]),La=new Set([...(new Set("data_push_epoch deb duul e espv esrch exp exp_uid expflags expid expid_c exprollouts fesp frozen_clock host hotswaps ion ix jsmode mods nossl nuul ogdeb sessionid uuld".split(" "))),...Ka]);function Ma(a){Ga(b=>{google.startTick(a,b)},b=>{google.timers[a].wsrt=b;performance.mark&&performance.mark("SearchAFTStart",{startTime:b})})};var H;(function(a){if(a.__gwbp===void 0){let b;const c=new Promise(d=>{b=d});c.__r=b;a.__gwbp=c}})(document);H=document.__gwbp;let Na;H.then(a=>{Na=a});var Oa=Event;var I=class extends Oa{constructor(a){super(a,{bubbles:!0});Na.addEvent(a)}};var Pa=class extends I{constructor(){super("aimCanvasBeforeFirstContentPaint")}},Qa=class extends I{constructor(){super("aimCanvasRenderFinished")}},Ra=class extends I{constructor(){super("aimCanvasRenderStarted")}},Sa=class extends I{constructor(a,b){super("aimCanvasTitleAvailable");this.title=a;this.I=b}};function J(a){document.querySelector('[data-xid="Lr04i"]')?.dispatchEvent(a)}function Ta(a,b){b.map(c=>[...document.querySelectorAll(c)]).flat().forEach(c=>void c.dispatchEvent(a))}async function Ua(){await H;J(new Va);Ta(new Va,['[data-xid="eP7C1d"]'])}async function Wa(){await H;J(new Xa);Ta(new Xa,['[data-tpcrb-host="true"]','[data-xid="x92FHb"]','[data-xid="Gd7Hsc"]','[data-xid="UN5Mf"]'])}async function Ya(){await H;J(new Za)}async function $a(){await H;J(new ab)} var Va=class extends I{constructor(){super("aimRenderStarted")}},Xa=class extends I{constructor(){super("aimRenderComplete")}},Za=class extends I{constructor(){super("aimBodyComplete")}},ab=class extends I{constructor(){super("aimModelResponseStarted")}};function M(a){const b=document.querySelectorAll('[data-scope-id="qZRtEe"] [data-canvas-lifecycle-subscriber]');for(const c of b)c.dispatchEvent(a)};function bb(a=document){return a.querySelector(".Lucn7c")}function cb(a){const b=a.getAttribute("data-canvas-title")||"";a=a.getAttribute("data-canvas-subtitle")||"";return{title:b,I:a}};var db={};function N(a,b){return a&&a.parentElement&&a!==b&&!a.hasAttribute("data-container-id")?a.getAttribute("data-complete")||a.nextSibling||a.parentElement.lastElementChild===a&&N(a.parentElement,b)?(a.setAttribute("data-complete","true"),!0):!1:!1};/* Copyright Google LLC SPDX-License-Identifier: Apache-2.0 */ let eb=globalThis.trustedTypes,fb;function gb(){let a=null;if(!eb)return a;try{const b=c=>c;a=eb.createPolicy("goog#html",{createHTML:b,createScript:b,createScriptURL:b})}catch(b){}return a}function hb(){fb===void 0&&(fb=gb());return fb};var ib=class{constructor(a){this.g=a}toString(){return this.g+""}};var jb=class{constructor(a){this.g=a}toString(){return this.g+""}};function kb(a){if(a instanceof jb)return a.g;throw Error("h");};function lb(a=document){a=a.querySelector?.("script[nonce]");return a==null?"":a.nonce||a.getAttribute("nonce")||""};var mb=class{constructor(a){this.g=a}toString(){return this.g+""}};function nb(a){const b=lb(a.ownerDocument);b&&a.setAttribute("nonce",b)};function ob(a){const b=hb();a=b?b.createHTML(a):a;return new jb(a)};function pb(a,b=!1){return{onRenderFinished:()=>{qb(a)},onChunkWritten:()=>{b?rb(a):sb(a)}}}function sb(a){a.querySelectorAll("script[data-script-exec]").forEach(b=>{N(b,a)&&tb(b)})}function rb(a){a.querySelectorAll("script").forEach(b=>{b.dataset.scriptExecPoststream===void 0&&N(b,a)&&tb(b)})}function qb(a){a.querySelectorAll("script").forEach(b=>{tb(b)})} function tb(a){var b=document.body;a.parentElement.removeChild(a);const c=document.createElement("script");for(var d in a.dataset)d!=="scriptExecPoststream"&&d!=="script-exec"&&(c.dataset[d]=a.dataset[d]);d=a.text;const e=hb();d=e?e.createScript(d):d;d=new mb(d);if(d instanceof mb)d=d.g;else throw Error("h");c.textContent=d;nb(c);c.type=a.type;c.nonce=a.nonce;c.async=a.async;c.crossOrigin=a.crossOrigin;c.onerror=a.onerror;if(a.src){a=a.src;a=(d=hb())?d.createScriptURL(a):a;a=new ib(a);if(a instanceof ib)a=a.g;else throw Error("h");c.src=a;nb(c)}b.appendChild(c)};function ub(a){function b(d){var e=Array.from(d.head?.children??[]);d=Array.from(d.body?.children??[]);e=e.concat(d);for(d=0;d<e.length;d++){const f=e[d];if(!f.hasAttribute("data-nosplice"))if(f.tagName==="SCRIPT"){if(c||d<e.length-1){b:{if(!(f instanceof HTMLScriptElement)){var g=f;break b}if(f.type!=="text/javascript"&&f.type!==""){g=f;break b}const l=document.createElement("script");l.textContent=f.textContent;l.nonce=f.nonce;g=l;var h=g.setAttribute;var k=document.querySelector("script[nonce]"); k=k==null?"":k.nonce||k.getAttribute("nonce")||"";h.call(g,"nonce",k);f.remove();g=l}g===f?g=!1:(document.body.appendChild(g),g=!0);g||a(f)}}else a(f)}}let c=!1;return{onChunkWritten:b,onRenderFinished(d){c=!0;b(d)}}};function vb(a){const b=ub(a),c=[];return{onDocumentOpen(d){c.push(d)},onChunkWritten(d){for(const e of d.querySelectorAll("script"))e.setAttribute("data-complete","true");b.onRenderFinished?.(d)},onRenderFinished(){for(const d of c)b.onRenderFinished?.(d)}}};var wb=!!(window.ReadableStream?.prototype&&"pipeThrough"in window.ReadableStream?.prototype&&window.TextDecoderStream),xb=async function(a,b,c){if(b.headers.get("Content-Type")?.split(";",2)?.[0]?.toLowerCase()!=="text/html")throw Error("i`"+b.url);if(b.url&&(new URL(b.url)).origin!==location.origin)throw Error("j`"+b.url);if(wb)for(a.i=b.body.pipeThrough(new TextDecoderStream).getReader();;){const {value:d,done:e}=await a.i.read();if(e||a.g)break;b=ob(d);c(b)}else a=await b.text(),a=ob(a),c(a)}, yb=class{constructor(a=[]){this.plugins=a;this.finished=this.g=!1;this.plugins=a}async render(a){const b=document.implementation.createHTMLDocument("");for(const c of this.plugins)if(c.onRenderStarted)c.onRenderStarted(b);b.open();for(const c of this.plugins)c.onDocumentOpen?.(b);await xb(this,a,c=>{if(!this.g){for(const d of this.plugins)try{d.onFirstByte?.(b),d.onFirstByte=void 0}catch(e){}b.write(kb(c));for(const d of this.plugins)try{d.onChunkWritten?.(b)}catch(e){}}});b.close();if(!this.g){this.finished= !0;for(const c of this.plugins)try{c.onRenderFinished?.(b)}catch(d){}}}cancel(){if(!this.finished){this.g=!0;this.i?.cancel().catch(()=>{});for(let a=0;a<this.plugins.length;a++)this.plugins[a].onStreamCanceled?.()}}};var zb=function(a,b){var c;if(!(c=a.i.get(b))){c=document.implementation.createHTMLDocument("");a.i.set(b,c);c.open();for(const d of a.plugins)d.onDocumentOpen?.(c)}return c},Ab=async function(a,b,c){function d(){const f=g.indexOf(";",k);if(f===-1)return null;const l=parseInt(g.substring(k,f),16);if(isNaN(l))throw Error("k`"+g.length+"`"+h);if(g.length<f+l)return null;k=f+l+1;return g.substring(f+1,k)}function e(f){g+=f;for(k=h;;){f=d();if(f===null)break;const l=d();if(l===null)break;h=k;c(f||"message", l)}}if(!a.g){var g="",h=0,k=0;if(wb)for(b=b.body.pipeThrough(new TextDecoderStream).getReader();;){const {value:f,done:l}=await b.read();if(l||a.g)break;e(f)}else b=await b.text(),e(b);if(!a.g&&(a.close(),g.length>h))throw Error("l`"+g.length+"`"+h);}},Bb=class{constructor(a){this.plugins=a;this.i=new Map;this.finished=this.g=!1}async render(a){if(!a.ok)throw Error("m`"+a.status+"`"+a.statusText);if(a.headers.get("Content-Type")?.split(";",2)?.[0]?.toLowerCase()!=="text/plain")throw Error("n`"+a.url); if(a.url&&(new URL(a.url)).origin!==location.origin)throw Error("j`"+a.url);for(const c of this.plugins)c.onRenderStarted?.();let b=zb(this,"default");await Ab(this,a,(c,d)=>{if(!this.g){for(const e of this.plugins)try{e.onFirstByte?.(),e.onFirstByte=void 0}catch(g){}if(c==="write_to_target_document")b=zb(this,d);else if(c==="message"){c=ob(d);b.write(kb(c));for(const e of this.plugins)try{e.onChunkWritten?.(b)}catch(g){}}}});if(!this.g){this.finished=!0;for(const c of this.plugins)try{c.onRenderFinished?.()}catch(d){}}}close(){this.i.forEach(a=> {a.close()})}cancel(){if(!this.finished){this.g=!0;this.close();for(const a of this.plugins)a.onStreamCanceled?.()}}};function Cb(a){var b=Db;for(const c in b)a.call(void 0,b[c],c,b)};const Eb=RegExp("^(?:([^:/?#.]+):)?(?://(?:([^\\\\/?#]*)@)?([^\\\\/?#]*?)(?::([0-9]+))?(?=[\\\\/?#]|$))?([^?#]+)?(?:\\?([^#]*))?(?:#([\\s\\S]*))?$");function Fb(a,b){if(a){a=a.split("&");for(let c=0;c<a.length;c++){const d=a[c].indexOf("=");let e,g=null;d>=0?(e=a[c].substring(0,d),g=a[c].substring(d+1)):e=a[c];b(e,g?decodeURIComponent(g.replace(/\+/g," ")):"")}}} function Gb(a,b,c){if(Array.isArray(b))for(let d=0;d<b.length;d++)Gb(a,String(b[d]),c);else b!=null&&c.push(a+(b===""?"":"="+encodeURIComponent(String(b))))};var Ib=function(a){const b=a.startsWith("https://uberproxy-pen-redirect.corp.google.com/uberproxy/pen?url=")?a.substr(65):a,c=new Hb,d=b.match(Eb)[5];Cb(function(g){const h=d.match("/"+g+"=([^/]+)");h&&O(c,g,h[1])});let e="";e=a.indexOf("_/ss/")!=-1?"_/ss/":"_/js/";c.j=a.substr(0,a.indexOf(e)+e.length);(a=b.match(Eb)[6]||null)&&Fb(a,(g,h)=>{c.i[g]=h});return c},O=function(a,b,c){c?a.g[b]=c:delete a.g[b]},Lb=function(a){const b=[],c=d=>{a.g[d]!==void 0&&b.push(d+"="+a.g[d])};Jb(a)?(c("md"),c("k"), c("ck"),c("am"),c("rs"),c("gssmodulesetproto"),c("slk"),c("dti")):(c("sdch"),c("k"),c("ck"),c("am"),c("amc"),c("rt"),"d"in a.g||O(a,"d","0"),c("d"),c("exm"),c("excm"),(a.g.excm||a.g.exm)&&b.push("ed=1"),c("im"),c("dg"),c("sm"),P(a,"br")!="1"&&P(a,"br")!="0"||c("br"),c("br-d"),P(a,"rb")=="1"&&c("rb"),P(a,"zs")!=="0"&&c("zs"),Kb(a)!==""&&c("wt"),c("gssmodulesetproto"),c("ujg"),c("sp"),c("rs"),c("cb"),c("ee"),c("slk"),c("dti"),c("ic"),c("m"));return b.join("/")},P=function(a,b){return a.g[b]?a.g[b]: null},Jb=function(a){a=P(a,"md");return!!a&&a!=="0"},Kb=function(a){switch(P(a,"wt")){case "0":return"0";case "1":return"1";case "2":return"2";default:return""}};const Hb=class{constructor(){this.g={};this.j="";this.i={}}toString(){var a=this.j+Lb(this);var b=this.i;var c=[];for(const d in b)Gb(d,b[d],c);b=c.join("&");c="";b!=""&&(c="?"+b);return a+c}}; var Db={fb:"k",Ka:"ck",bb:"m",Ta:"exm",Ra:"excm",Ha:"am",Ia:"amc",Za:"mm",eb:"rt",Wa:"d",Sa:"ed",lb:"sv",La:"deob",Ja:"cb",jb:"rs",hb:"sdch",Xa:"im",Ma:"dg",Pa:"br",Oa:"br-d",Qa:"rb",pb:"zs",ob:"wt",Ua:"ee",kb:"sm",ab:"md",Va:"gssmodulesetproto",nb:"ujg",mb:"sp",ib:"slk",Na:"dti",Ya:"ic"};var Mb=class{constructor(){this.g={}}add(a){this.g[a]=!0}addAll(a){for(let b=0;b<a.length;b++)this.add(a[b])}has(a){return!!this.g[a]}getAllInstalledChunkIds(){return Object.keys(this.g)}clear(){this.g={}}};function Nb(a){const {A:b,type:c,ga:d=new URLSearchParams,ea:e,Fa:g}=a;var h=window.location,k=new Map;document.querySelector("[data-madl]")?k.set("_fmt","madl"):k.set("_fmt","adl");var f;if(f=window.baseCssUrl){f=Ib(f);var l=P(f,"ck")??P(f,"k"),p=P(f,"excm"),q=Array,r=q.from,n=Set;p=[...(p?p.split(","):[])];var u,m;var A=(m=(u=google).cktocr||(u.cktocr={}))[l]||(m[l]=new Mb);(u=r.call(q,new n([...p,...A.getAllInstalledChunkIds()])))&&u.length>0?(u.sort(),O(f,"excm",u.join(","))):O(f,"excm",null); f=f.toString()}else f=null;f&&k.set("_snbasecss",f);u=new URLSearchParams(h.search);f=new URLSearchParams;if(c==="folwr")if(m=u.get("mlrol"),m=Ob(m).at(-1))l=Pb(),f.set("garc",l.ca),f.set("mlro",m.Ea),f.set("mlros",m.Ba),f.set("ei",m.M);else if(a.Ca){if(m=document.querySelector(`[data-sr-id="${a.Ca}"][data-sr-mlro][data-sr-mlros][data-sr-ei]`))f.set("mlro",m.dataset.srMlro),f.set("mlros",m.dataset.srMlros),f.set("ei",m.dataset.srEi),f.set("garc",m.dataset.srGarc)}else m=Pb(),f.set("garc",m.ca),f.set("mlro", m.ya),f.set("mlros",m.za),f.set("ei",m.qa);else c==="folif

Sử dụng quy tắc chèn điểm theo một cách khác:\(\vec{MN}=\vec{MA}+\vec{AC}+\vec{CN}\)\(\vec{MN}=\vec{MD}+\vec{DB}+\vec{BN}\)Cộng hai phương trình này lại:\(2\vec{MN}=(\vec{MA}+\vec{MD})+(\vec{AC}+\vec{DB})+(\vec{CN}+\vec{BN})\)Với \(\vec{MA}+\vec{MD}=\vec{0}\) và \(\vec{CN}+\vec{BN}=\vec{0}\), ta có:\(2\vec{MN}=\vec{0}+\vec{AC}+\vec{DB}+\vec{0}\)\(\vec{MN}=\frac{1}{2}(\vec{AC}+\vec{DB})\)Từ kết quả ở Bước 1 và Bước 2, ta suy ra \(\vec{MN}=\frac{1}{2}(\vec{AB}+\vec{DC})=\frac{1}{2}(\vec{AC}+\vec{DB})\). Bước 3: Chứng minh câu b) Ta có \(I\) là trung điểm của \(MN\). Áp dụng tính chất trung điểm cho các đoạn thẳng \(AD,BC\) và \(MN\) đối với điểm \(I\):\(\vec{IA}+\vec{ID}=2\vec{IM}\)\(\vec{IB}+\vec{IC}=2\vec{IN}\)Cộng các phương trình trên, ta được tổng vectơ cần tính:\(\vec{IA}+\vec{IB}+\vec{IC}+\vec{ID}=(\vec{IA}+\vec{ID})+(\vec{IB}+\vec{IC})=2\vec{IM}+2\vec{IN}=2(\vec{IM}+\vec{IN})\)Vì \(I\) là trung điểm của \(MN\), theo tính chất trung điểm, \(\vec{IM}+\vec{IN}=\vec{0}\).Do đó:\(\vec{IA}+\vec{IB}+\vec{IC}+\vec{ID}=2(\vec{0})=\vec{0}\)Trả lời: Các đẳng thức đã được chứng minh trong các bước trên. Cụ thể:a) \(\vec{MN}=\frac{\mathbf{1}}{\mathbf{2}}\mathbf{(}\vec{\mathbf{AB}}\mathbf{+}\vec{\mathbf{DC}}\mathbf{)=}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{(}\vec{\mathbf{AC}}\mathbf{+}\vec{\mathbf{DB}}\mathbf{)}\)b) \(\vec{IA}+\vec{IB}+\vec{IC}+\vec{ID}=\vec{\mathbf{0}}\)  Đang tạo đường liên kết công khai...Cảm ơn bạnÝ kiến phản hồi của bạn sẽ giúp Google cải thiện. Vui lòng xem Chính sách quyền riêng tư của chúng tôi.Chia sẻ thêm ý kiến phản hồiBáo cáo vấn đềĐóngKết quả có liên quanHiện tất cả(function(){var aa=Object.defineProperty,da=globalThis,w="Int8 Uint8 Uint8Clamped Int16 Uint16 Int32 Uint32 Float32 Float64".split(" ");da.BigInt64Array&&(w.push("BigInt64"),w.push("BigUint64")); var fa=function(a,b){if(b)for(var c=0;c<w.length;c++)ea(w[c]+"Array.prototype."+a,b)},ha=function(a,b){b&&ea(a,b)},ea=function(a,b){var c=da;a=a.split(".");for(var d=0;d<a.length-1;d++){var e=a[d];if(!(e in c))return;c=c[e]}a=a[a.length-1];d=c[a];b=b(d);b!=d&&b!=null&&aa(c,a,{configurable:!0,writable:!0,value:b})},ia=function(a){a=Math.trunc(a)||0;a<0&&(a+=this.length);if(!(a<0||a>=this.length))return this[a]};ha("Array.prototype.at",function(a){return a?a:ia});fa("at",function(a){return a?a:ia}); ha("String.prototype.at",function(a){return a?a:ia});ha("Promise.withResolvers",function(a){return a?a:function(){var b,c;return{promise:new Promise(function(d,e){b=d;c=e}),resolve:b,reject:c}}});/* Copyright The Closure Library Authors. SPDX-License-Identifier: Apache-2.0 */ a:for(var ja=["CLOSURE_FLAGS"],ka=this||self,la=0;la<ja.length;la++)if(ka=ka[ja[la]],ka==null)break a;var ma={push:a=>void a()};function na(a){var b=window.google?.timers?.load;b&&(b=b.e.folr,google.c.e("load","folr",b?`${b},${a}`:a))};const oa=new Set("aaft aafit aafct irli sart scrt saft saftwgc scat".split(" "));function z(){return typeof csi_o_qull!=="undefined"&&csi_o_qull}function C(){return typeof csi_o_dle!=="undefined"&&csi_o_dle&&z()} var pa=function(a,b=!1){const c=a.C;a.i=!0;a.F.forEach(d=>{d()});a.F=[];b&&(a.X=!0,C()&&(a.C=c))},qa=function(a){if(Array.isArray(a.g.cbvi))for(const b of a.g.cbvi)b();a.g.cbvi=ma},D=function(a,b,c){if(C()){if(!a.i||a.X)if(a.B[b]=Math.max(a.B[b]||0,c),a.j)return;a.J[b]=Math.max(a.J[b]||0,c)}else a.B[b]=Math.max(a.B[b]||0,c)},ra=function(a,b="all",c=a.B,d=!1){const e=b==="all";let g={};if(e)qa(a),g=c;else for(var h of Object.keys(c))oa.has(h.split("-")[0])||(g[h]=c[h]);(c=google.stvsc?.ns||window.performance?.timing?.navigationStart)&& (g.ns=c);a:{c=a.url;if(h=window._csc!=="agsa"||!window._cshid)h=window.google?.rdn?window.performance?.getEntriesByType?.("navigation")[0]:void 0,h?(h=h.type,h=!h||h==="navigate"):h=!window.performance?.navigation?.type;if(h&&(c=(c=c.match(RegExp("[?&]qsubts=(\\d+)")))&&Number(c[1]),c>0))break a;c=void 0}c&&(g.gsans=c);(c=google.timers.load?.t.prs)&&(g.prs=c);c=a.g.t.getAttribute("eid");h=[];for(const k of Object.keys(g))h.push(`${k}.${g[k]-a.la}`);b=`/gen_204?s=async&astyp=${a.g.astyp}&t=${d?`${b}2`: b}&atyp=csi&ei=${c}&rt=${h.join(",")}`;e&&(a.R&&(b+=`&lvhr=${a.R}`),b+=`&${"imn"}=${a.T}`,b+=`&${"ima"}=${a.G}`);b+=`&${"folid"}=${a.g.id}`;a.ma?navigator.sendBeacon(b,""):google.log("","",b)},sa=function(a,b,c,d=Date.now(),e=!1){if(z()&&!a.i){a.F.push(()=>{sa(a,b,c,d,e)});if(!C())return;a.j=!0}const g=google.cv(b,!1,a.g.t),h=!!(g&1);h&&(c&&(a.R=c),D(a,"aaft",d),D(a,"aafct",d));ta(a,b,d,h,e);g&4&&(a.ja=!0,a.G===a.K&&qa(a));a.j=!1},ta=function(a,b,c,d,e=!1){if(z()&&!a.i){a.F.push(()=>{ta(a,b,c,d,e)}); if(!C())return;a.j=!0}for(const g of ua(a,b))for(const h of E(g)){if(!h)continue;const k=`${"saft"}-${h}`,f=`${"saftwgc"}-${h}`,l=`${"sart"}-${h}`;if(g.contains(b)||!a.i&&b.contains(g))d&&(D(a,k,c),e||D(a,f,c)),D(a,l,c)}a.j=!1},ua=function(a,b){if(typeof csi_o_qso!=="undefined"&&csi_o_qso){b=b.querySelectorAll("[data-subtree]");for(const c of b){b=E(c);for(const d of b)a.U.includes(c)||a.U.push(c)}return a.U}return a.g.t.querySelectorAll("[data-subtree]")},E=function(a){return(a=a.dataset.subtree)? a.split(","):[]},va=function(a,b,c,d=!1){b.getAttribute("data-deferred")==="1"?google.rll(b,!0,()=>{va(a,b,c,d)}):d||(b.getAttribute("data-deferred")==="2"&&b.setAttribute("data-deferred","3"),d=!0,wa(a,b,c))},xa=function(a,b){var c=Date.now();const d=b.getElementsByTagName("img");for(let g=0;g<d.length;g++){const h=d[g];if(h.dataset.imglogged)continue;h.dataset.imglogged="true";++a.T;var e=h.complete&&!h.getAttribute("data-deferred");const k=h.hasAttribute("data-noaft");if(e||k){++a.C;continue}e= google.cv(h,!1,a.g.t);h.setAttribute("data-aatf",String(e));const f=!!(e&1);if(f)++a.G,Array.isArray(a.g.cbvi)||(a.g.cbvi=[]);else if(h.loading==="lazy"){++a.C;continue}h.getAttribute("data-imgprocessed")?++a.C:(google.rll(h,!0,()=>{va(a,h,f)}),a.B.irfi||D(a,"irfi",c),D(a,"irli",c))}sa(a,b,void 0,c)},wa=function(a,b,c,d=Date.now()){a.B.irfie||D(a,"irfie",d);if(z()&&!c&&!a.i){a.F.push(()=>{wa(a,b,c,d)});if(!C())return;a.j=!0}++a.C;c&&(++a.K,D(a,"aaft",d),D(a,"aafit",d));ta(a,b,d,c);a.ja&&a.G===a.K&& qa(a);!a.Y||a.i&&a.F.length!==0||(ya(a),a.S());a.j=!1},ya=function(a){C()||a.Y&&a.K===a.G&&pa(a)},za=function(a,b,c){if(z()&&a.W&&!a.i){a.F.push(()=>{za(a,b,c)});if(!C())return;a.j=!0}for(const d of ua(a,b))for(const e of E(d)){if(!e)continue;const g=`${"sirt"}-${e}`,h=`${"sart"}-${e}`,k=`${"scrt"}-${e}`;let f=!1;if(b===d||!a.i&&b.contains(d)){if(!a.B[g]||C()&&!a.J[g])f=!0,D(a,g,c);D(a,h,c);D(a,k,c)}else d.contains(b)&&(D(a,h,c),D(a,k,c));(e==="mfl"||e==="aimfl"&&a.g.astyp.includes("aim"))&&f&&(a.W= !0,ra(a,g))}a.j=!1},Aa=class{constructor(a,b=Date.now(),c=window.location.search,d=typeof usb!=="undefined"&&usb){this.g=a;this.la=b;this.url=c;this.ma=d;this.B={};this.J={};this.j=!1;this.U=[];this.F=[];this.K=this.G=this.C=this.T=this.R=0;this.X=this.i=this.W=!1;this.g.t&&this.g.id&&google.cv(this.g.t,!1)&1&&na(this.g.id);this.g.ullcb=()=>{pa(this,!0)}}S(){this.T!==this.C||this.gb||(D(this,"art",Date.now()),ra(this),C()&&(pa(this),ra(this,"all",this.J,!0)))}ka(a){sa(this,a,void 0,void 0,!0)}Z(){this.Y= !0;ya(this)}};window.google=window.google||{};const Ba=window.performance&&window.performance.timing&&"navigationStart"in window.performance.timing,Ca=google.stvsc&&google.stvsc.ns;var Da=Ba?Ca||window.performance.timing.navigationStart:void 0;function Ea(){return window.performance.now()-(google.stvsc&&google.stvsc.pno||0)}const Fa=google.stvsc&&google.stvsc.rs;var G=Ba?Fa||window.performance.timing.responseStart:void 0;function Ga(a,b){let c,d=Date.now();const e=window.performance;e&&(e.now&&(c=Math.floor(Ea())),Da&&G&&G>Da&&G<=d&&(d=G,c=G-Da));a(d);b(c)};var Ha=function(a){let b="";a&&(b=typeof a==="string"?a:google.getEI(a));return b&&b!==""?b:""},Ia=class{constructor(){this.g=[]}};var Ja=new Set("aco aec aep arqrcd arv asrc atp authuser boostid boostvid bshope cds cf channel cs csui data_push_epoch dcr deb debtime dthp e edbg editnurl editourl editq editrt elrc esrch eval_id exp exp_uid expflags expid explain exprollouts fakeads fesp force_experience frendfilter frozen_clock garc gl gsas gsc hl host hotel_dates hotel_ds hotswaps hts igu imgn isc jsmode lns_img lns_int lns_mode lns_surface lns_tqs lr lsf lsft lsisr ltkn mactx masfc mat mcp mergelabel mgtyp mlp mrc nef nem nep ogdeb opti optq opts optt pcs pga piis plugin pvf pws rciv rlst rlz safe sca_esv sessionid shopmd shoprs shopvl shortlistmids sidesearch skew_host skew_hotswaps skip sni snr source source_ip ssl_dbg st stick stkp tbcp tbs tcfs tsdo udf udm uideb ulrc useragent uuld uule v vit vsint vsrid vuid".split(" ")), Ka=new Set(["ampcct","client","dcr","hs","v"]),La=new Set([...(new Set("data_push_epoch deb duul e espv esrch exp exp_uid expflags expid expid_c exprollouts fesp frozen_clock host hotswaps ion ix jsmode mods nossl nuul ogdeb sessionid uuld".split(" "))),...Ka]);function Ma(a){Ga(b=>{google.startTick(a,b)},b=>{google.timers[a].wsrt=b;performance.mark&&performance.mark("SearchAFTStart",{startTime:b})})};var H;(function(a){if(a.__gwbp===void 0){let b;const c=new Promise(d=>{b=d});c.__r=b;a.__gwbp=c}})(document);H=document.__gwbp;let Na;H.then(a=>{Na=a});var Oa=Event;var I=class extends Oa{constructor(a){super(a,{bubbles:!0});Na.addEvent(a)}};var Pa=class extends I{constructor(){super("aimCanvasBeforeFirstContentPaint")}},Qa=class extends I{constructor(){super("aimCanvasRenderFinished")}},Ra=class extends I{constructor(){super("aimCanvasRenderStarted")}},Sa=class extends I{constructor(a,b){super("aimCanvasTitleAvailable");this.title=a;this.I=b}};function J(a){document.querySelector('[data-xid="Lr04i"]')?.dispatchEvent(a)}function Ta(a,b){b.map(c=>[...document.querySelectorAll(c)]).flat().forEach(c=>void c.dispatchEvent(a))}async function Ua(){await H;J(new Va);Ta(new Va,['[data-xid="eP7C1d"]'])}async function Wa(){await H;J(new Xa);Ta(new Xa,['[data-tpcrb-host="true"]','[data-xid="x92FHb"]','[data-xid="Gd7Hsc"]','[data-xid="UN5Mf"]'])}async function Ya(){await H;J(new Za)}async function $a(){await H;J(new ab)} var Va=class extends I{constructor(){super("aimRenderStarted")}},Xa=class extends I{constructor(){super("aimRenderComplete")}},Za=class extends I{constructor(){super("aimBodyComplete")}},ab=class extends I{constructor(){super("aimModelResponseStarted")}};function M(a){const b=document.querySelectorAll('[data-scope-id="qZRtEe"] [data-canvas-lifecycle-subscriber]');for(const c of b)c.dispatchEvent(a)};function bb(a=document){return a.querySelector(".Lucn7c")}function cb(a){const b=a.getAttribute("data-canvas-title")||"";a=a.getAttribute("data-canvas-subtitle")||"";return{title:b,I:a}};var db={};function N(a,b){return a&&a.parentElement&&a!==b&&!a.hasAttribute("data-container-id")?a.getAttribute("data-complete")||a.nextSibling||a.parentElement.lastElementChild===a&&N(a.parentElement,b)?(a.setAttribute("data-complete","true"),!0):!1:!1};/* Copyright Google LLC SPDX-License-Identifier: Apache-2.0 */ let eb=globalThis.trustedTypes,fb;function gb(){let a=null;if(!eb)return a;try{const b=c=>c;a=eb.createPolicy("goog#html",{createHTML:b,createScript:b,createScriptURL:b})}catch(b){}return a}function hb(){fb===void 0&&(fb=gb());return fb};var ib=class{constructor(a){this.g=a}toString(){return this.g+""}};var jb=class{constructor(a){this.g=a}toString(){return this.g+""}};function kb(a){if(a instanceof jb)return a.g;throw Error("h");};function lb(a=document){a=a.querySelector?.("script[nonce]");return a==null?"":a.nonce||a.getAttribute("nonce")||""};var mb=class{constructor(a){this.g=a}toString(){return this.g+""}};function nb(a){const b=lb(a.ownerDocument);b&&a.setAttribute("nonce",b)};function ob(a){const b=hb();a=b?b.createHTML(a):a;return new jb(a)};function pb(a,b=!1){return{onRenderFinished:()=>{qb(a)},onChunkWritten:()=>{b?rb(a):sb(a)}}}function sb(a){a.querySelectorAll("script[data-script-exec]").forEach(b=>{N(b,a)&&tb(b)})}function rb(a){a.querySelectorAll("script").forEach(b=>{b.dataset.scriptExecPoststream===void 0&&N(b,a)&&tb(b)})}function qb(a){a.querySelectorAll("script").forEach(b=>{tb(b)})} function tb(a){var b=document.body;a.parentElement.removeChild(a);const c=document.createElement("script");for(var d in a.dataset)d!=="scriptExecPoststream"&&d!=="script-exec"&&(c.dataset[d]=a.dataset[d]);d=a.text;const e=hb();d=e?e.createScript(d):d;d=new mb(d);if(d instanceof mb)d=d.g;else throw Error("h");c.textContent=d;nb(c);c.type=a.type;c.nonce=a.nonce;c.async=a.async;c.crossOrigin=a.crossOrigin;c.onerror=a.onerror;if(a.src){a=a.src;a=(d=hb())?d.createScriptURL(a):a;a=new ib(a);if(a instanceof ib)a=a.g;else throw Error("h");c.src=a;nb(c)}b.appendChild(c)};function ub(a){function b(d){var e=Array.from(d.head?.children??[]);d=Array.from(d.body?.children??[]);e=e.concat(d);for(d=0;d<e.length;d++){const f=e[d];if(!f.hasAttribute("data-nosplice"))if(f.tagName==="SCRIPT"){if(c||d<e.length-1){b:{if(!(f instanceof HTMLScriptElement)){var g=f;break b}if(f.type!=="text/javascript"&&f.type!==""){g=f;break b}const l=document.createElement("script");l.textContent=f.textContent;l.nonce=f.nonce;g=l;var h=g.setAttribute;var k=document.querySelector("script[nonce]"); k=k==null?"":k.nonce||k.getAttribute("nonce")||"";h.call(g,"nonce",k);f.remove();g=l}g===f?g=!1:(document.body.appendChild(g),g=!0);g||a(f)}}else a(f)}}let c=!1;return{onChunkWritten:b,onRenderFinished(d){c=!0;b(d)}}};function vb(a){const b=ub(a),c=[];return{onDocumentOpen(d){c.push(d)},onChunkWritten(d){for(const e of d.querySelectorAll("script"))e.setAttribute("data-complete","true");b.onRenderFinished?.(d)},onRenderFinished(){for(const d of c)b.onRenderFinished?.(d)}}};var wb=!!(window.ReadableStream?.prototype&&"pipeThrough"in window.ReadableStream?.prototype&&window.TextDecoderStream),xb=async function(a,b,c){if(b.headers.get("Content-Type")?.split(";",2)?.[0]?.toLowerCase()!=="text/html")throw Error("i`"+b.url);if(b.url&&(new URL(b.url)).origin!==location.origin)throw Error("j`"+b.url);if(wb)for(a.i=b.body.pipeThrough(new TextDecoderStream).getReader();;){const {value:d,done:e}=await a.i.read();if(e||a.g)break;b=ob(d);c(b)}else a=await b.text(),a=ob(a),c(a)}, yb=class{constructor(a=[]){this.plugins=a;this.finished=this.g=!1;this.plugins=a}async render(a){const b=document.implementation.createHTMLDocument("");for(const c of this.plugins)if(c.onRenderStarted)c.onRenderStarted(b);b.open();for(const c of this.plugins)c.onDocumentOpen?.(b);await xb(this,a,c=>{if(!this.g){for(const d of this.plugins)try{d.onFirstByte?.(b),d.onFirstByte=void 0}catch(e){}b.write(kb(c));for(const d of this.plugins)try{d.onChunkWritten?.(b)}catch(e){}}});b.close();if(!this.g){this.finished= !0;for(const c of this.plugins)try{c.onRenderFinished?.(b)}catch(d){}}}cancel(){if(!this.finished){this.g=!0;this.i?.cancel().catch(()=>{});for(let a=0;a<this.plugins.length;a++)this.plugins[a].onStreamCanceled?.()}}};var zb=function(a,b){var c;if(!(c=a.i.get(b))){c=document.implementation.createHTMLDocument("");a.i.set(b,c);c.open();for(const d of a.plugins)d.onDocumentOpen?.(c)}return c},Ab=async function(a,b,c){function d(){const f=g.indexOf(";",k);if(f===-1)return null;const l=parseInt(g.substring(k,f),16);if(isNaN(l))throw Error("k`"+g.length+"`"+h);if(g.length<f+l)return null;k=f+l+1;return g.substring(f+1,k)}function e(f){g+=f;for(k=h;;){f=d();if(f===null)break;const l=d();if(l===null)break;h=k;c(f||"message", l)}}if(!a.g){var g="",h=0,k=0;if(wb)for(b=b.body.pipeThrough(new TextDecoderStream).getReader();;){const {value:f,done:l}=await b.read();if(l||a.g)break;e(f)}else b=await b.text(),e(b);if(!a.g&&(a.close(),g.length>h))throw Error("l`"+g.length+"`"+h);}},Bb=class{constructor(a){this.plugins=a;this.i=new Map;this.finished=this.g=!1}async render(a){if(!a.ok)throw Error("m`"+a.status+"`"+a.statusText);if(a.headers.get("Content-Type")?.split(";",2)?.[0]?.toLowerCase()!=="text/plain")throw Error("n`"+a.url); if(a.url&&(new URL(a.url)).origin!==location.origin)throw Error("j`"+a.url);for(const c of this.plugins)c.onRenderStarted?.();let b=zb(this,"default");await Ab(this,a,(c,d)=>{if(!this.g){for(const e of this.plugins)try{e.onFirstByte?.(),e.onFirstByte=void 0}catch(g){}if(c==="write_to_target_document")b=zb(this,d);else if(c==="message"){c=ob(d);b.write(kb(c));for(const e of this.plugins)try{e.onChunkWritten?.(b)}catch(g){}}}});if(!this.g){this.finished=!0;for(const c of this.plugins)try{c.onRenderFinished?.()}catch(d){}}}close(){this.i.forEach(a=> {a.close()})}cancel(){if(!this.finished){this.g=!0;this.close();for(const a of this.plugins)a.onStreamCanceled?.()}}};function Cb(a){var b=Db;for(const c in b)a.call(void 0,b[c],c,b)};const Eb=RegExp("^(?:([^:/?#.]+):)?(?://(?:([^\\\\/?#]*)@)?([^\\\\/?#]*?)(?::([0-9]+))?(?=[\\\\/?#]|$))?([^?#]+)?(?:\\?([^#]*))?(?:#([\\s\\S]*))?$");function Fb(a,b){if(a){a=a.split("&");for(let c=0;c<a.length;c++){const d=a[c].indexOf("=");let e,g=null;d>=0?(e=a[c].substring(0,d),g=a[c].substring(d+1)):e=a[c];b(e,g?decodeURIComponent(g.replace(/\+/g," ")):"")}}} function Gb(a,b,c){if(Array.isArray(b))for(let d=0;d<b.length;d++)Gb(a,String(b[d]),c);else b!=null&&c.push(a+(b===""?"":"="+encodeURIComponent(String(b))))};var Ib=function(a){const b=a.startsWith("https://uberproxy-pen-redirect.corp.google.com/uberproxy/pen?url=")?a.substr(65):a,c=new Hb,d=b.match(Eb)[5];Cb(function(g){const h=d.match("/"+g+"=([^/]+)");h&&O(c,g,h[1])});let e="";e=a.indexOf("_/ss/")!=-1?"_/ss/":"_/js/";c.j=a.substr(0,a.indexOf(e)+e.length);(a=b.match(Eb)[6]||null)&&Fb(a,(g,h)=>{c.i[g]=h});return c},O=function(a,b,c){c?a.g[b]=c:delete a.g[b]},Lb=function(a){const b=[],c=d=>{a.g[d]!==void 0&&b.push(d+"="+a.g[d])};Jb(a)?(c("md"),c("k"), c("ck"),c("am"),c("rs"),c("gssmodulesetproto"),c("slk"),c("dti")):(c("sdch"),c("k"),c("ck"),c("am"),c("amc"),c("rt"),"d"in a.g||O(a,"d","0"),c("d"),c("exm"),c("excm"),(a.g.excm||a.g.exm)&&b.push("ed=1"),c("im"),c("dg"),c("sm"),P(a,"br")!="1"&&P(a,"br")!="0"||c("br"),c("br-d"),P(a,"rb")=="1"&&c("rb"),P(a,"zs")!=="0"&&c("zs"),Kb(a)!==""&&c("wt"),c("gssmodulesetproto"),c("ujg"),c("sp"),c("rs"),c("cb"),c("ee"),c("slk"),c("dti"),c("ic"),c("m"));return b.join("/")},P=function(a,b){return a.g[b]?a.g[b]: null},Jb=function(a){a=P(a,"md");return!!a&&a!=="0"},Kb=function(a){switch(P(a,"wt")){case "0":return"0";case "1":return"1";case "2":return"2";default:return""}};const Hb=class{constructor(){this.g={};this.j="";this.i={}}toString(){var a=this.j+Lb(this);var b=this.i;var c=[];for(const d in b)Gb(d,b[d],c);b=c.join("&");c="";b!=""&&(c="?"+b);return a+c}}; var Db={fb:"k",Ka:"ck",bb:"m",Ta:"exm",Ra:"excm",Ha:"am",Ia:"amc",Za:"mm",eb:"rt",Wa:"d",Sa:"ed",lb:"sv",La:"deob",Ja:"cb",jb:"rs",hb:"sdch",Xa:"im",Ma:"dg",Pa:"br",Oa:"br-d",Qa:"rb",pb:"zs",ob:"wt",Ua:"ee",kb:"sm",ab:"md",Va:"gssmodulesetproto",nb:"ujg",mb:"sp",ib:"slk",Na:"dti",Ya:"ic"};var Mb=class{constructor(){this.g={}}add(a){this.g[a]=!0}addAll(a){for(let b=0;b<a.length;b++)this.add(a[b])}has(a){return!!this.g[a]}getAllInstalledChunkIds(){return Object.keys(this.g)}clear(){this.g={}}};function Nb(a){const {A:b,type:c,ga:d=new URLSearchParams,ea:e,Fa:g}=a;var h=window.location,k=new Map;document.querySelector("[data-madl]")?k.set("_fmt","madl"):k.set("_fmt","adl");var f;if(f=window.baseCssUrl){f=Ib(f);var l=P(f,"ck")??P(f,"k"),p=P(f,"excm"),q=Array,r=q.from,n=Set;p=[...(p?p.split(","):[])];var u,m;var A=(m=(u=google).cktocr||(u.cktocr={}))[l]||(m[l]=new Mb);(u=r.call(q,new n([...p,...A.getAllInstalledChunkIds()])))&&u.length>0?(u.sort(),O(f,"excm",u.join(","))):O(f,"excm",null); f=f.toString()}else f=null;f&&k.set("_snbasecss",f);u=new URLSearchParams(h.search);f=new URLSearchParams;if(c==="folwr")if(m=u.get("mlrol"),m=Ob(m).at(-1))l=Pb(),f.set("garc",l.ca),f.set("mlro",m.Ea),f.set("mlros",m.Ba),f.set("ei",m.M);else if(a.Ca){if(m=document.querySelector(`[data-sr-id="${a.Ca}"][data-sr-mlro][data-sr-mlros][data-sr-ei]`))f.set("mlro",m.dataset.srMlro),f.set("mlros",m.dataset.srMlros),f.set("ei",m.dataset.srEi),f.set("garc",m.dataset.srGarc)}else m=Pb(),f.set("

ta biểu diễn các vectơ dưới dạng hiệu:\(\vec{AC}=\vec{C}-\vec{A}\)\(\vec{BD}=\vec{D}-\vec{B}\)\(\vec{AC}+\vec{BD}=(\vec{C}-\vec{A})+(\vec{D}-\vec{B})=\vec{C}+\vec{D}-\vec{A}-\vec{B}\)Và \(2\vec{EF}=2(\vec{F}-\vec{E})=2(\frac{\vec{C}+\vec{D}}{2}-\frac{\vec{A}+\vec{B}}{2})=2(\frac{\vec{C}+\vec{D}-\vec{A}-\vec{B}}{2})=\vec{C}+\vec{D}-\vec{A}-\vec{B}\)Do đó, \(\vec{AC}+\vec{BD}=2\vec{EF}\). Tương tự, chứng minh \(\vec{AD}+\vec{BC}=2\vec{EF}\):\(\vec{AD}=\vec{D}-\vec{A}\)\(\vec{BC}=\vec{C}-\vec{B}\)\(\vec{AD}+\vec{BC}=(\vec{D}-\vec{A})+(\vec{C}-\vec{B})=\vec{C}+\vec{D}-\vec{A}-\vec{B}\)Do đó, \(\vec{AD}+\vec{BC}=2\vec{EF}\). Từ hai đẳng thức trên, ta có \(\vec{AC}+\vec{BD}=\vec{AD}+\vec{BC}=2\vec{EF}\).

Nghi ngờ của Bình là hoàn toàn chính xác. Giá trị \(0,290\) là sai số thô và cần được loại bỏ trước khi tính toán kết quả cuối cùng để đảm bảo độ tin cậy của phép đo rơi tự do.

Độ lệch chuẩn càng nhỏ thì mức độ phân tán của số liệu càng thấp. Do đó, vận động viên A có thành tích bắn thử ổn định hơn vận động viên B.

Khoảng biến thiên của mẫu số liệu trên là 10. Không nên dùng đại lượng này để đo độ phân tán của mẫu số liệu trên vì nó rất nhạy cảm với các giá trị ngoại lệ

Hà nội :12,5°C

TP HỒ CHÍ MINH:HN: 3,2°C 

NHẬN XÉT :Nhiệt độ trung bình các tháng trong năm tại Hà Nội biến động mạnh hơn đáng kể so với Thành phố Hồ Chí Minh. Các chỉ số khoảng biến thiên, khoảng tứ phân vị và độ lệch chuẩn của Hà Nội đều cao hơn rất nhiều so với TP. Hồ Chí Minh. Điều này cho thấy khí hậu Hà Nội có sự phân hóa mùa rõ rệt (mùa đông lạnh, mùa hè nóng), trong khi khí hậu TP. Hồ Chí Minh ổn định hơn, nhiệt độ các tháng ít chênh lệch.

°C